@unpublished{dgd-c01-2020-04-ribaucour_families,
author = "Rörig, Thilo and Szewieczek, Gudrun",
title = "The Ribaucour families of discrete R-congruences",
year = "2020",
month = "April",
note = "preprint",
arxiv = "2004.04447"
}
@unpublished{dgd-b10-2020-01-Extended,
author = "Engel, M. and Jardon-Kojakhmetov, H.",
title = "Extended and symmetric loss of stability for canards in planar fast-slow maps",
year = "2020",
month = "January",
note = "preprint",
arxiv = "1912.10286"
}
@unpublished{dgd-c02-2020-01-Predicting,
author = "Krahmer, F. and Kuehn, C. and Sissouno, N.",
title = "Predicting sparse circle maps from their dynamics",
year = "2020",
month = "January",
arxiv = "1911.06312",
note = "preprint"
}
@unpublished{dgd-a00-2019-12-confocal,
author = "Agafonov, Sergey I.",
title = "Confocal conics and 4-webs of maximal rank",
year = "2019",
month = "December",
arxiv = "1912.01817",
note = "preprint"
}
@unpublished{dgd-b10-2019-11-random,
author = "Engel, M. and Kuehn, C.",
title = "A random dynamical systems perspective on isochronicity for stochastic oscillations",
year = "2019",
month = "November",
arxiv = "1911.08993",
note = "preprint"
}
@article{dgd-c01-2019-11-curve,
author = "Jiang, Caigui and Mundilova, Klara and Rist, Florian and Wallner, Johannes and Pottmann, Helmut",
title = "Curve-pleated Structures",
journal = "ACM Trans. Graph.",
issue_date = "November 2019",
volume = "38",
number = "6",
month = "November",
year = "2019",
issn = "0730-0301",
pages = "169:1--169:13",
articleno = "169",
numpages = "13",
doi = "10.1145/3355089.3356540",
acmid = "3356540",
publisher = "ACM",
address = "New York, NY, USA",
keywords = "computational fabrication, computational origami, conical mesh, curved crease, developable surface, discrete differential geometry, pleated surface, pseudo-geodesic"
}
@article{dgd-c01-2019-11-geodesic,
author = "Wang, Hui and Pellis, Davide and Rist, Florian and Pottmann, Helmut and Müller, Christian",
title = "Discrete Geodesic Parallel Coordinates",
journal = "ACM Trans. Graph.",
issue_date = "November 2019",
volume = "38",
number = "6",
month = "November",
year = "2019",
issn = "0730-0301",
pages = "173:1--173:13",
articleno = "173",
numpages = "13",
doi = "10.1145/3355089.3356541",
acmid = "3356541",
publisher = "ACM",
address = "New York, NY, USA",
keywords = "architectural geometry, computational fabrication, discrete differential geometry, geodesic, geodesic parallel coordinates, geodesic strip, isometry, paneling"
}
@unpublished{dgd-a02-2019-11-laguerre,
author = "Bobenko, Alexander I. and Lutz, Carl O. R. and Pottmann, Helmut and Techter, Jan",
title = "Laguerre geometry in space forms and incircular nets",
year = "2019",
month = "November",
note = "preprint"
}
@unpublished{dgd-a02-2019-11-nets_of_lines,
author = "Bobenko, Alexander I. and Fairley, Alexander Y.",
title = "Nets of lines with the combinatorics of the square grid and with touching inscribed conics",
year = "2019",
month = "November",
note = "preprint"
}
@unpublished{dgd-c02-2019-11-onebit,
author = "Graf, Olga and Krahmer, Felix and Krause-Solberg, Sara",
title = "One-Bit Sigma-Delta modulation on the circle",
year = "2019",
month = "November",
note = "preprint"
}
@unpublished{dgd-c01-2019-11-ring_patterns,
author = "Bobenko, Alexander I. and Hoffmann, Tim and Rörig, Thilo",
title = "Orthogonal ring patterns",
year = "2019",
month = "November",
note = "preprint",
arxiv = "1911.07095"
}
@unpublished{dgd-a03-2019-10-combinatorial,
author = "Doolittle, Joseph and Labbé, Jean-Philippe and Lange, Carsten and Sinn, Rainer and Speer, Jonathan and Ziegler, Günter M.",
note = "Preprint",
arxiv = "1910.05241",
title = "Combinatorial inscribability obstructions for higher-dimensional polytopes",
year = "2019",
month = "October"
}
@article{dgd-a01-2019-09-ideal,
author = "Springborn, Boris",
title = "Ideal Hyperbolic Polyhedra and Discrete Uniformization",
journal = "Discrete Comput. Geom.",
year = "2019",
month = "September",
day = "05",
issn = "1432-0444",
doi = "10.1007/s00454-019-00132-8"
}
@article{dgd-b08-2019-09-Maximal,
author = "Cicalese, M. and Leonardi, G.P.",
title = "Maximal fluctuations on periodic lattices: an approach via quantitative Wulff inequalities",
journal = "Commun. Math. Phys.",
year = "2019",
month = "September",
note = "preprint",
url = "http://cvgmt.sns.it/paper/4195/"
}
@inproceedings{dgd-c02-2019-09-sampling,
author = "Graf, Olga and Bhandari, Ayush and Krahmer, Felix",
title = "One-Bit Unlimited Sampling",
booktitle = "Proc. IEEE Intl. Conf. Acoustics Speach Signal Proc. (ICASSP 2019)",
doi = "10.1109/ICASSP.2019.8683266",
year = "2019",
month = "September"
}
@InProceedings{dgd-c02-2019-09-robust,
author = "Iwen, M. and Dirksen, S. and Maly, J. and Krause-Solberg, S.",
title = "Robust One-bit Compressed Sensing With Manifold Data",
booktitle = "Proc. Intl. Conf. on Sampling Theory and Applications (SampTA '19)",
url = "https://sampta2019.sciencesconf.org/267528/document",
year = "2019",
month = "September"
}
@article{dgd-b10-2019-08-Discretized,
author = "Arcidiacono, L. and Engel, M. and Kuehn, C.",
title = "Discretized fast-slow systems near pitchfork singularities",
journal = "Journal of Difference Equations and Applications, Vol. 25, No. 7, pp. 1024-1051",
year = "2019",
month = "August",
doi = "10.1080/10236198.2019.1647185"
}
@unpublished{dgd-b08-2019-09-from,
author = "M. Cicalese, G. Orlando and Ruf, M.",
title = "From the N-clock model to the XY model: emergence of concentration effects in the variational analysis",
year = "2019",
month = "August",
note = "preprint",
url = "http://cvgmt.sns.it/paper/4432/"
}
@article{dgd-c04-2019-08-holes,
author = "Edelsbrunner, Herbert and Ölsböck, Katharina",
title = "Holes and dependences in an ordered complex",
journal = "Computer Aided Geometric Design",
year = "2019",
publisher = "Elsevier",
month = "August",
url = "http://pub.ist.ac.at/\textasciitilde edels/Papers/2018-J-06-HolesDependences.pdf"
}
@unpublished{dgd-b12-2019-08-ripser,
author = "Bauer, Ulrich",
title = "Ripser: efficient computation of Vietoris-Rips persistence barcodes",
year = "2019",
month = "August",
arxiv = "1908.02518",
note = "preprint"
}
@unpublished{dgd-b08-2019-07-discrete,
author = "M. Cicalese, A. Bach and Braides, A.",
title = "Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions",
year = "2019",
month = "July",
note = "preprint",
url = "http://cvgmt.sns.it/paper/4406/"
}
@unpublished{dgd-b10-2019-07-Discretized,
author = "Engel, M. and Kuehn, C. and Petrera, M. and Suris, Y.",
title = "Discretized fast-slow systems with canard points in two dimensions",
year = "2019",
month = "July",
arxiv = "1907.06574",
note = "preprint"
}
@article{dgd-a02-2019-02-minimal,
author = "Bobenko, Alexander I and Heller, Sebastian and Schmitt, Nicholas",
title = "Minimal n-Noids in hyperbolic and anti-de Sitter 3-space",
journal = "Proceedings A of Royal Society",
arxiv = "1902.07992",
year = "2019",
month = "July",
doi = "10.1098/rspa.2019.0173"
}
@article{dgd-c07-2019-MM-On_Bubble_Rings,
author = "Padilla, Marcel and Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and Schröder, Peter",
title = "On Bubble Rings and Ink Chandeliers",
journal = "ACM Trans. Graph. 38, 4, Article 129",
year = "2019",
month = "July",
doi = "10.1145/3306346.3322962"
}
@article{dgd-c03-2019-06-approximation,
author = "Petersen, Philipp and Raslan, Mones",
title = "Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces",
arxiv = "1712.01047",
journal = "Advances in Computational Mathematics",
year = "2019",
month = "June",
volume = "45",
number = "3",
pages = "1581--1606",
issn = "1572-9044",
doi = "10.1007/s10444-019-09679-9"
}
@article{dgd-c09-2019-06-learning,
author = "Bubba, Tatiana A. and Kutyniok, Gitta and Lassas, Matti and März, Maximilian and Samek, Wojciech and Siltanen, Samuli and Srinivasan, Vignesh",
doi = "10.1088/1361-6420/ab10ca",
year = "2019",
month = "June",
publisher = "{IOP} Publishing",
volume = "35",
number = "6",
pages = "064002",
title = "Learning The Invisible: A Hybrid Deep Learning-Shearlet Framework for Limited Angle Computed Tomography",
journal = "Inverse Problems",
abstract = "The high complexity of various inverse problems poses a significant challenge to model-based reconstruction schemes, which in such situations often reach their limits. At the same time, we witness an exceptional success of data-based methodologies such as deep learning. However, in the context of inverse problems, deep neural networks mostly act as black box routines, used for instance for a somewhat unspecified removal of artifacts in classical image reconstructions. In this paper, we will focus on the severely ill-posed inverse problem of limited angle computed tomography, in which entire boundary sections are not captured in the measurements. We will develop a hybrid reconstruction framework that fuses model-based sparse regularization with data-driven deep learning. Our method is reliable in the sense that we only learn the part that can provably not be handled by model-based methods, while applying the theoretically controllable sparse regularization technique to the remaining parts. Such a decomposition into visible and invisible segments is achieved by means of the shearlet transform that allows to resolve wavefront sets in the phase space. Furthermore, this split enables us to assign the clear task of inferring unknown shearlet coefficients to the neural network and thereby offering an interpretation of its performance in the context of limited angle computed tomography. Our numerical experiments show that our algorithm significantly surpasses both pure model- and more data-based reconstruction methods.",
arxiv = "1811.04602"
}
@article{dgd-b09-2019-05-BDF2,
author = "Plazotta, Simon",
title = "A BDF2-approach for the non-linear Fokker-Planck equation",
journal = "Discrete Contin. Dyn. Syst.",
fjournal = "Discrete and Continuous Dynamical Systems. Series A",
volume = "39",
number = "5",
pages = "2893--2913",
issn = "1078-0947",
year = "2019",
month = "May",
doi = "10.3934/dcds.2019120",
arxiv = "1801.09603"
}
@article{dgd-b10-2019-05-Conditioned,
author = "Engel, M. and Lamb, J.S.W. and Rasmussen, M.",
title = "Conditioned Lyapunov exponents for random dynamical systems",
journal = "Transactions of the American Mathematical Society 372(9), 2019",
year = "2019",
month = "May",
doi = "10.1090/tran/7803"
}
@article{dgd-b10-2019-05-Discretized,
author = "Engel, M. and Kuehn, C.",
title = "Discretized fast-slow systems near transcritical singularities",
journal = "Nonlinearity, Vol. 32, No. 7, 2365-2391",
year = "2019",
month = "May",
doi = "10.1088/1361-6544/ab15c1"
}
@article{dgd-c01-2019-05-multi-nets,
author = "Bobenko, Alexander I and Pottmann, Helmut and Rörig, Thilo",
title = "Multi-Nets. Classification of discrete and smooth surfaces with characteristic properties on arbitrary parameter rectangles",
journal = "Discrete Comput. Geom.",
fjournal = "Discrete {\\&} Computational Geometry",
year = "2019",
month = "May",
issn = "1432-0444",
doi = "10.1007/s00454-019-00101-1",
arxiv = "1802.05063"
}
@article{dgd-a02-2018-checkerboard-incircular,
author = "Bobenko, Alexander I. and Schief, Wolfgang K. and Techter, Jan",
title = "Checkerboard incircular nets: Laguerre geometry and parametrisation",
journal = "Geometriae Dedicata",
year = "2019",
month = "April",
day = "10",
abstract = "We present a procedure which allows one to integrate explicitly the class of checkerboard IC-nets which has recently been introduced as a generalisation of incircular (IC) nets. The latter class of privileged congruences of lines in the plane is known to admit a great variety of geometric properties which are also present in the case of checkerboard IC-nets. The parametrisation obtained in this manner is reminiscent of that associated with elliptic billiards. Connections with discrete confocal coordinate systems and the fundamental QRT maps of integrable systems theory are made. The formalism developed in this paper is based on the existence of underlying pencils of conics and quadrics which is exploited in a Laguerre geometric setting.",
issn = "1572-9168",
doi = "10.1007/s10711-019-00449-x",
arxiv = "1808.07254"
}
@unpublished{dgd-c04-2019-04-cotorsion,
author = "Bauer, Ulrich and Botnan, Magnus B. and Oppermann, Steffen and Steen, Johan",
title = "Cotorsion torsion triples and the representation theory of filtered hierarchical clustering",
year = "2019",
month = "April",
note = "preprint",
arxiv = "1904.07322"
}
@unpublished{dgd-b10-2019-04-fast,
author = "Jardón-Kojakhmetov, Hildeberto and Kuehn, Christian",
title = "On fast-slow consensus networks with a dynamic weight",
arxiv = "1904.02690",
pages = "1--48",
year = "2019",
month = "April",
note = "preprint"
}
@unpublished{dgd-a05-2019-03-reflectionless,
author = "Chern, Albert",
title = "A Reflectionless Discrete Perfectly Matched Layer",
year = "2019",
note = "With minor revision accepted by Journal of Computational Physics.",
month = "March",
arxiv = "1804.01390v2"
}
@article{dgd-a03-2019-03-Convex_Equipartitions,
author = "Blagojević, Pavle V. M. and Rote, Günter and Steinmeyer, Johanna K. and Ziegler, Günter M.",
title = "Convex Equipartitions of Colored Point Sets",
journal = "Discrete \& Computational Geometry",
year = "2019",
month = "March",
day = "01",
volume = "61",
number = "2",
pages = "355--363",
abstract = "We show that any d-colored set of points in general position in {\$}{\$}{\{}{\backslash}mathbb {\{}R{\}}{\}}^d{\$}{\$}Rdcan be partitioned into n subsets with disjoint convex hulls such that the set of points and all color classes are partitioned as evenly as possible. This extends results by Holmsen, Kyn{\v{c}}l {\\&} Valculescu (Comput Geom 65:35--42, 2017) and establishes a special case of their general conjecture. Our proof utilizes a result obtained independently by Sober{\'o}n and by Karasev in 2010, on simultaneous equipartitions of d continuous measures in {\$}{\$}{\{}{\backslash}mathbb {\{}R{\}}{\}}^d{\$}{\$}Rdby n convex regions. This gives a convex partition of {\$}{\$}{\{}{\backslash}mathbb {\{}R{\}}{\}}^d{\$}{\$}Rdwith the desired properties, except that points may lie on the boundaries of the regions. In order to resolve the ambiguous assignment of these points, we set up a network flow problem. The equipartition of the continuous measures gives a fractional flow. The existence of an integer flow then yields the desired partition of the point set.",
issn = "1432-0444",
doi = "10.1007/s00454-017-9959-7"
}
@article{dgd-b02-2019-modified,
author = "Vermeeren, Mats",
title = "Modified equations for variational integrators applied to Lagrangians linear in velocities",
journal = "J. Geom. Mech.",
year = "2019",
volume = "11",
number = "1",
pages = "1--22",
doi = "10.3934/jgm.2019001",
arxiv = "1709.09567",
month = "March"
}
@article{dgd-b02-2019-02-continuum,
author = "Vermeeren, Mats",
title = "Continuum limits of pluri-Lagrangian systems",
journal = "J. Integrable Syst.",
year = "2019",
month = "February",
volume = "4",
number = "1",
pages = "1--34",
doi = "10.1093/integr/xyy020",
arxiv = "1706.06830"
}
@article{dgd-b10-2019-02-Duck,
author = "Kuehn, C. and Münch, C.",
title = "Duck traps: two-dimensional critical manifolds in planar systems",
journal = "Dynamical Systems: An International Journal, Vol. 34, No. 4, pp. 584-612,",
year = "2019",
month = "February",
doi = "10.1080/14689367.2019.1575337"
}
@unpublished{dgd-b08-2019-02-random,
author = "Bach, A. and Cicalese, M. and Ruf, M.",
title = "Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size",
year = "2019",
month = "February",
note = "preprint",
arxiv = "1902.08437"
}
@article{dgd-a03-2019-02-Tverberg,
author = "Blagojević, Pavle V. M. and Haase, Albert and Ziegler, Günter M.",
title = "Tverberg-Type Theorems for Matroids: A Counterexample and a Proof",
journal = "Combinatorica",
year = "2019",
month = "February",
day = "11",
issn = "1439-6912",
doi = "10.1007/s00493-018-3846-6"
}
@unpublished{dgd-b09-2019-convergent,
author = "Junge, Oliver and Söllner, Benjamin",
title = "A convergent Lagrangian discretization for $p$-Laplace and flux-limited diffusion equations",
note = "preprint",
arxiv = "1906.01321",
year = "2019"
}
@unpublished{dgd-a01-2019-liouville,
author = "Pinkall, Ulrich and Springborn, Boris",
title = "A discrete version of Liouville's theorem on conformal maps",
note = "Preprint",
arxiv = "1911.00966",
year = "2019"
}
@article{dgd-B10-2019-01-Markov,
author = "Degond, P. and M.Engel and J.Liu and Pego, R.",
title = "A Markov jump process modelling animal group size statistics",
journal = "Communications in Mathematical Sciences",
year = "2019",
month = "January"
}
@unpublished{dgd-b10-survey,
author = "Jardon-Kojakhmetov, H. and Kuehn, C.",
title = "A survey on the blow-up method for fast-slow systems",
arxiv = "1901.01402",
pages = "1--41",
year = "2019",
note = "Preprint"
}
@article{dgd-b09-2019-two-phase,
author = "Clément Cancès, Daniel Matthes, Flore Nabet",
title = "A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow",
journal = "Arch. Ration. Mech. Anal.",
volume = "233",
year = "2019",
number = "2",
pages = "837--866",
issn = "0003-9527",
doi = "10.1007/s00205-019-01369-6",
arxiv = "1712.06446"
}
@article{dgd-b02-2019-perspective,
author = "Vermeeren, Mats",
title = "A variational perspective on continuum limits of ABS and lattice GD equations",
journal = "SIGMA Symmetry Integrability Geom. Methods Appl.",
volume = "15",
year = "2019",
pages = "044",
issn = "1815-0659",
doi = "10.3842/SIGMA.2019.044"
}
@Article{dgd-c02-2019-approximation,
author = "Keiper, Sandra",
title = "Approximation of generalized ridge functions in high dimensions",
journal = "Journal of Approximation Theory",
year = "2019",
volume = "245",
pages = "101--129",
issn = "0021-9045",
doi = "10.1016/j.jat.2019.04.006"
}
@unpublished{dgd-b08-2019-barycenters,
author = "Friesecke, Gero and Matthes, Daniel and Schmitzer, Bernhard",
title = "Barycenters for the Hellinger--Kantorovich distance over $\mathbb{R}^d$",
arxiv = "1910.14572",
year = "2019",
note = "preprint at arXiv"
}
@article{dgd-b10-2019-01-Bifurcation,
author = "Engel, M. and Lamb, J.S.W. and Rasmussen, M.",
title = "Bifurcation analysis of a stochastically driven limit cycle",
journal = "Communications in Mathematical Physics 365(3), 2019",
year = "2019",
month = "January",
arxiv = "1606.01137",
doi = "10.1007/s00220-019-03298-7"
}
@article{dgd-c01-2019-chebyshev,
author = "Sageman-Furnas, Andrew O. and Chern, Albert and Ben-Chen, Mirela and Vaxman, Amir",
title = "Chebyshev Nets from Commuting PolyVector Fields",
year = "2019",
journal = "ACM Trans. Graphics",
volume = "38",
number = "6",
pages = "172:1--172:16",
doi = "10.1145/3355089.3356564",
note = "Proc. SIGGRAPH Asia"
}
@unpublished{dgd-a12-2019-classification,
author = "Krause, Max and Sullivan, John M.",
title = "Classification of small links in the unmarked solid torus",
note = "Preprint",
year = "2019"
}
@article{dgd-b02-2018-commutativity,
author = "Sridhar, Ananth and Suris, Yuri B",
title = "Commutativity in Lagrangian and Hamiltonian mechanics",
journal = "J. Geom. Phys.",
year = "2019",
volume = "137",
pages = "154--161",
doi = "10.1016/j.geomphys.2018.09.019",
arxiv = "1801.06076"
}
@article{dgd-c03-2019-Consistent,
author = "Stefano Almi, Sandro Belz",
title = "Consistent Finite-Dimensional Approximation of Phase-Field Models of Fracture",
fjournal = "Annali di Matematica Pura ed Applicata. Serie Quarta",
journal = "Ann. Mat. Pura Appl. (4)",
issn = "0373-3114; 1618-1891/e",
volume = "198",
number = "4",
pages = "1191--1225",
year = "2019",
publisher = "Springer, Berlin/Heidelberg; Fondazione Annali di Matematica Pura ed Applicata c/o Dipartimento di Matematica ``U. Dini'', Firenze",
languages = "English",
doi = "10.1007/s10231-018-0815-z",
arxiv = "1707.00578"
}
@article{dgd-b02-2019-contact,
author = "Vermeeren, Mats and Bravetti, Alessandro and Seri, Marcello",
title = "Contact variational integrators",
journal = "Journal of Physics A: Mathematical and Theoretical",
year = "2019",
volume = "52",
number = "44",
pages = "445206",
doi = "10.1088/1751-8121/ab4767",
publisher = "IOP Publishing"
}
@unpublished{dgd-a01-2019-discrete,
author = "Kouřimská, Hana and Springborn, Boris",
title = "Discrete Yamabe problem for polyhedral surfaces",
note = "Preprint",
doi = "10.14279/depositonce-9001.3",
year = "2019"
}
@unpublished{dgd-b09-2019-discretization,
author = "Matthes, Daniel and Söllner, Benjamin",
title = "Discretization of Flux-Limited Gradient Flows: $\Gamma$-convergence and numerical schemes",
note = "preprint",
arxiv = "1910.09843",
year = "2019"
}
@article{dgd-c01-2019-Discretizations,
author = "Jimenez, Michael R. and Müller, Christian and Pottmann, Helmut",
title = "Discretizations of Surfaces with Constant Ratio of Principal Curvatures",
journal = "Discrete Comput. Geom.",
year = "2019",
note = "accepted for publication",
url = "http://www.geometrie.tuwien.ac.at/ig/publications/constratio/constratio.pdf",
doi = "10.1007/s00454-019-00098-7"
}
@unpublished{dgd-c09-2019-01-extraction,
author = "Andrade-Loarca, Héctor and Kutyniok, Gitta and Öktem, Ozan and Petersen, Philipp",
title = "Extraction of Digital Wavefront Sets using Applied Harmonic Analysis and Deep Neural Networks",
year = "2019",
month = "January",
note = "preprint",
arxiv = "1901.01388"
}
@unpublished{dgd-a05-2018-Finding,
author = "Chern, Albert and Knöppel, Felix and Pedit, Franz and Pinkall, Ulrich and Schröder, Peter",
title = "Finding Conformal and Isometric Immersions of Surfaces",
arxiv = "1901.09432",
note = "Preprint",
year = "2019",
month = "January"
}
@inproceedings{dgd-c04-2019-Hardness,
author = "Bauer, Ulrich and Rathod, Abhishek",
title = "Hardness of Approximation for Morse Matching",
booktitle = "Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms",
pages = "2663--2674",
publisher = "SIAM, Philadelphia, PA",
year = "2019",
doi = "10.1137/1.9781611975482.165",
arxiv = "1801.08380"
}
@InProceedings{dgd-c02-2019-higher,
author = "Graf, O. and Krahmer, F. and Krause-Solberg, S.",
title = "Higher order 1-bit Sigma-Delta modulation on a circle",
booktitle = "Proc. Intl. Conf. on Sampling Theory and Applications (SampTA '19)",
url = "https://sampta2019.sciencesconf.org/273036/document",
year = "2019"
}
@article{dgd-b11-2019-01-RZZ,
author = "Rüland, Angkana and Zillinger, Christian and Zwicknagl, Barbara",
title = "Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Planar Geometrically Linearized Hexagonal-to-Rhombic Phase Transformation",
journal = "Journal of Elasticity",
year = "2019",
month = "January",
doi = "10.1007/s10659-018-09719-3"
}
@unpublished{dgd-c09-2019-homogeneous,
author = "Frerix, Thomas and Nießner, Matthias and Cremers, Daniel",
title = "Homogeneous Linear Inequality Constraints for Neural Network Activations",
note = "Preprint",
arxiv = "1902.01785",
year = "2019"
}
@unpublished{dgd-b02-2019-integrable,
author = "Bobenko, Alexander and Suris, Yuri",
title = "Integrable linear systems on quad-graphs",
arxiv = "1911.03252",
year = "2019",
note = "preprint"
}
@Inproceedings{dgd-c07-2019-latent-space,
author = "Wiewel, Steffen and Becher, Moritz and Thuerey, Nils",
title = "Latent-space physics: Towards learning the temporal evolution of fluid flow",
booktitle = "Computer Graphics Forum",
volume = "38",
year = "2019",
doi = "10.1111/cgf.13620",
organization = "Wiley Online Library"
}
@article{dgd-b10-2019-multiscale,
author = "Kuehn, C.",
title = "Multiscale dynamics of an adaptive catalytic network model",
journal = "Math. Model. Nat. Pheno.",
volume = "14",
number = "4",
pages = "402",
year = "2019",
doi = "10.1051/mmnp/2019015"
}
@incollection{dgd-b10-2019-new,
author = "Petrera, Matteo and Suris, Yuri B.",
title = "New results on integrability of the Kahan-Hirota-Kimura discretizations",
booktitle = "Nonlinear systems and their remarkable mathematical structures. Vol. 1",
pages = "94-121",
publisher = "CRC Press, Boca Raton, FL",
year = "2019",
url = "https://www.crcpress.com/Nonlinear-Systems-and-Their-Remarkable-Mathematical-Structures-Volume-I/Euler/p/book/9781138601000"
}
@article{dgd-Z02-2019-non-standard,
author = "Strobel, Michael",
title = "Non-standard Analysis in Dynamic Geometry",
journal = "Journal of Symbolic Computation: Special Issue on Dynamic Geometry and Automated Reasoning",
year = "2019",
arxiv = "1801.10507",
publisher = "Elsevier",
doi = "10.1016/j.jsc.2018.12.006"
}
@unpublished{dgd-a11-2019-moduli,
author = "Haraway, R. and Löwe, R. and Tate, D. and Tillmann, S.",
title = "On Moduli Spaces of Convex Projective Structures on Surfaces: Outitude and Cell-Decomposition in Fock-Goncharov Coordinates",
year = "2019",
arxiv = "1911.04176",
note = "Preprint"
}
@article{dgd-a01-2019-rigidity,
author = "Bücking, U.",
title = "On rigidity and convergence of circle patterns",
journal = "Discrete Comput. Geom.",
fjournal = "Discrete \\& Computational Geometry. An International Journal of Mathematics and Computer Science",
volume = "61",
year = "2019",
number = "2",
pages = "380--420",
issn = "0179-5376",
mrclass = "52C26 (30E10 30F45 30G25 52C25)",
mrnumber = "3903795",
doi = "10.1007/s00454-018-0022-0"
}
@unpublished{dgd-c02-2019-unlimited,
author = "Bhandari, Ayush and Krahmer, Felix and Raskar, Ramesh",
title = "On Unlimited Sampling and Reconstruction",
note = "Preprint",
arxiv = "1905.03901",
year = "2019"
}
@article{dgd-c03-2019-optimal,
author = "Bölcskei, Helmut and Grohs, Philipp and Kutyniok, Gitta and Petersen, Philipp",
title = "Optimal Approximation with Sparsely Connected Deep Neural Networks",
journal = "SIAM J. Math. Data Sci.",
number = "1",
pages = "8--45",
arxiv = "1705.01714",
volume = "1",
year = "2019",
doi = "10.1137/18M118709X"
}
@Unpublished{dgd-c02-2019-predicting,
author = "Krahmer, F. and Kühn, C. and Sissouno, N.",
title = "Predicting sparse circle maps from their dynamics",
note = "preprint",
arxiv = "1911.06312",
year = "2019"
}
@article{dgd-c02-2019-recovery,
author = "Flinth, Axel and Keiper, Sandra",
title = "Recovery of binary sparse signals with biased measurement matrices",
journal = "IEEE Transactions on Information Theory",
doi = "10.1109/TIT.2019.2929192",
year = "2019"
}
@article{dgd-a11-2019-secondary,
author = "Joswig, Michael and Löwe, Robert and Springborn, Boris",
title = "Secondary fans and secondary polyhedra of punctured Riemann surfaces",
arxiv = "1708.08714",
year = "2019",
journal = "Exp. Math.",
doi = "10.1080/10586458.2018.1477078"
}
@unpublished{dgd-a11-2019-newton,
author = "Kastner, Lars and Löwe, Robert",
title = "The Newton polytope of the discriminant of a cubic quaternary form",
year = "2019",
arxiv = "1909.08910",
note = "Preprint"
}
@unpublished{dgd-b09-2019-waiting,
author = "Fischer, Julian and Matthes, Daniel",
title = "The waiting time phenomenon in spatially discretized porous medium and thin film equations",
note = "preprint at arXiv",
arxiv = "1911.04185",
year = "2019"
}
@article{dgd-b08-2019-04-Variational,
author = "M. Cicalese, M. Forster and Orlando, G.",
title = "Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions",
journal = "SIAM J. Math. Anal.",
year = "2019",
note = "preprint",
arxiv = "1904.07792"
}
@unpublished{dgd-b02-2019-variational,
author = "Petrera, Matteo and Vermeeren, Mats",
title = "Variational symmetries and pluri-Lagrangian structures for integrable hierarchies of PDEs",
arxiv = "1906.04535",
year = "2019",
note = "preprint"
}
@article{dgd-c01-2019-07-visual,
author = "Pellis, D. and Kilian, M. and Dellinger, F. and Wallner, J. and Pottmann, H.",
title = "Visual Smoothness of polyhedral surfaces",
journal = "ACM Trans. Graphics",
year = "2019",
volume = "38",
number = "4",
url = "http://hdl.handle.net/10754/653104"
}
@article{dgd-c04-2018-12-algebraic,
author = "Botnan, Magnus Bakke and Lesnick, Michael",
title = "Algebraic Stability of Zigzag Persistence Modules",
journal = "Algebr. Geom. Topol., Volume 18, Number 6 (2018), 3133-3204",
year = "2018",
month = "December",
doi = "10.2140/agt.2018.18.3133",
arxiv = "1604.00655v3",
url = "https://msp.org/scripts/coming.php?jpath=agt"
}
@article{dgd-a05-2018-infinitesimal,
author = "Lam, Wai Yeung and Pinkall, Ulrich",
title = "Infinitesimal conformal deformations of triangulated surfaces in space",
journal = "Discrete \& Computational Geometry",
volume = "60",
number = "4",
pages = "831--858",
year = "2018",
publisher = "Springer",
arxiv = "1702.04019",
month = "December",
doi = "10.1007/s00454-018-0008-y"
}
@article{dgd-a02-2018-on-a-discretization,
author = "Bobenko, Alexander I and Schief, Wolfgang K and Suris, Yuri B and Techter, Jan",
title = "On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations",
journal = "International Mathematics Research Notices",
year = "2018",
month = "December",
abstract = "{We propose a discretization of classical confocal coordinates. It is based on a novel characterization thereof as factorizable orthogonal coordinate systems. Our geometric discretization leads to factorizable discrete nets with a novel discrete analog of the orthogonality property. A discrete confocal coordinate system may be constructed geometrically via polarity with respect to a sequence of classical confocal quadrics. Various sequences correspond to various discrete parametrizations. The coordinate functions of discrete confocal quadrics are computed explicitly. The theory is illustrated with a variety of examples in two and three dimensions. These include confocal coordinate systems parametrized in terms of Jacobi elliptic functions. Connections with incircular nets and a generalized Euler–Poisson–Darboux system are established.}",
issn = "1073-7928",
doi = "10.1093/imrn/rny279",
arxiv = "1708.06800"
}
@article{dgd-a02-2018-11-shape,
author = "Rabinovich, Michael and Hoffmann, Tim and Sorkine-Hornung, Olga",
title = "The Shape Space of Discrete Orthogonal Geodesic Nets",
journal = "ACM Trans. Graph., Vol. 37, No. 6, Article 228",
year = "2018",
month = "November",
url = "http://igl.ethz.ch/projects/dog-space/Shape-Space-Of-DOGS-SA-2018-Rabinovich.pdf",
doi = "10.1145/3272127.3275088"
}
@article{dgd-a03-2018-10-additive,
author = "Ziegler, Günter M.",
title = "Additive structures on f-vector sets of polytopes",
year = "2018",
month = "October",
journal = "Advances in Geometry",
note = "Published online",
arxiv = "1709.02021"
}
@unpublished{dgd-c07-2018-09-Commuting,
author = "Chern, Albert and Knöppel, Felix and Pedit, Franz and Pinkall, Ulrich",
title = "Commuting Hamiltonian flows of curves in real space forms",
arxiv = "1809.01394",
note = "Preprint",
year = "2018",
month = "September"
}
@unpublished{dgd-a03-2018-09-cone,
author = "Backman, Spencer and Manecke, Sebastian and Sanyal, Raman",
note = "Preprint",
year = "2018",
month = "September",
arxiv = "1809.00956",
title = "Cone valuations, Gram's relation, and flag-angles"
}
@article{dgd-c03-2018-09-Convergence,
author = "Negri, Matteo and Almi, Stefano and Belz, Sandro",
title = "Convergence of discrete and continuous unilateral flows for Ambrosio-Tortorelli energies and application to mechanics",
journal = "ESAIM: Mathematical Modelling and Numerical Analysis",
year = "2018",
month = "September",
doi = "10.1051/m2an/2018057"
}
@article{dgd-a01-2018-09-convergence,
author = "Bobenko, Alexander I and Bücking, Ulrike",
title = "Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere",
journal = "Preprint at arXiv",
year = "2018",
month = "September",
arxiv = "1809.04847"
}
@article{dgd-b08-2018-09-from,
author = "Cicalese, Marco and Gloria, Antoine and Ruf, Matthias",
title = "From statistical polymer physics to nonlinear elasticity",
journal = "preprint",
year = "2018",
month = "September",
arxiv = "1809.00598"
}
@article{dgd-a02-2018-08-unified,
author = "Ye, Zi and Diamanti, Olga and Tang, Chengcheng and Guibas, Leonidas and Hoffmann, Tim",
title = "A unified discrete framework for intrinsic and extrinsic Dirac operators for geometry processing",
journal = "Computer Graphics Forum",
volume = "37",
number = "5",
pages = "93-106",
year = "2018",
month = "August",
doi = "10.1111/cgf.13494"
}
@article{dgd-Z02-2018-08-Bringing,
author = "Montag, Aaron and Richter-Gebert, Jürgen",
title = "Bringing Together Dynamic Geometry Software and the Graphics Processing Unit",
journal = "preprint",
year = "2018",
month = "August",
arxiv = "1808.04579"
}
@article{dgd-a01-2018-08-conformally,
author = "Bücking, Ulrike",
title = "Conformally symmetric triangular lattices and discrete θ-conformal maps",
arxiv = "1808.08064",
journal = "preprint",
year = "2018",
month = "August"
}
@article{dgd-c03-2018-08-Energy,
author = "Almi, Stefano and Lucardesi, Ilaria",
title = "Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks",
journal = "Nonlinear Differ. Equ. Appl. (2018) 25: 43.",
year = "2018",
month = "August",
doi = "10.1007/s00030-018-0536-4"
}
@article{dgd-B10-2018-08-Hopf,
author = "Doan, Thai Son and Engel, Maximilian and Lamb, Jeroen S.W. and Rasmussen, Martin",
title = "Hopf bifurcation with additive noise",
journal = "Nonlinearity 31 (2018), no. 10, 4567–4601",
year = "2018",
month = "August",
arxiv = "1710.09649",
doi = "10.1088/1361-6544/aad208"
}
@article{dgd-c05-2018-08-mesh,
author = "Yadav, Sunil Kumar and Reitebuch, Ulrich and Polthier, Konrad",
journal = "IEEE Transactions on Visualization and Computer Graphics",
title = "Mesh Denoising Based on Normal Voting Tensor and Binary Optimization",
year = "2018",
volume = "24",
number = "8",
pages = "2366-2379",
doi = "10.1109/TVCG.2017.2740384",
issn = "1077-2626",
month = "August"
}
@article{dgd-a01-2018-08-Miquel,
author = "Affolter, Niklas C",
title = "Miquel Dynamics, Clifford Lattices and the Dimer Model",
journal = "Preprint at arxiv",
year = "2018",
month = "August",
arxiv = "1808.04227"
}
@article{dgd-c02-2018-08-Sigma,
author = "Krause-Solberg, Sara and Graf, Olga and Krahmer, Felix",
title = "One-Bit Sigma-Delta Modulation on a Closed Loop",
journal = "2018 IEEE Statistical Signal Processing Workshop (SSP)",
year = "2018",
month = "August",
url = "https://ieeexplore.ieee.org/document/8450721",
pages = "208--212",
doi = "10.1109/SSP.2018.8450721"
}
@article{dgd-a05-2018-08-Shape,
author = "Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and Schröder, Peter",
title = "Shape from Metric",
journal = "ACM Trans. Graph.",
year = "2018",
month = "August",
volume = "37",
number = "4",
pages = "63:1--63:17",
url = "http://multires.caltech.edu/pubs/ShapeFromMetric.pdf",
doi = "10.1145/3197517.3201276",
publisher = "ACM"
}
@article{dgd-b09-2018-07-Variational,
author = "Daniel Matthes and Plazotta, Simon",
title = "A Variational Formulation of the BDF2 Method for Metric Gradient Flows",
journal = "ESAIM: M2AN, Forthcoming article",
year = "2018",
month = "July",
doi = "10.1051/m2an/2018045"
}
@article{dgd-a02-2018-02-geodesic,
author = "Rabinovich, Michael and Hoffmann, Tim and Sorkine-Hornung, Olga",
title = "Discrete Geodesic Nets for Modeling Developable Surfaces",
journal = "ACM Trans. Graph.",
volume = "37",
number = "2",
issn = "0730-0301",
pages = "16:1-16:17",
articleno = "16",
numpages = "17",
year = "2018",
month = "July",
doi = "10.1145/3180494",
publisher = "ACM",
address = "New York, NY, USA"
}
@article{dgd-a03-2018-07-Index_of_Grassmann,
author = "Baralić, Djordje and Blagojević, Pavle V. M. and Karasev, Roman and Vučić, Aleksandar",
title = "Index of Grassmann manifolds and orthogonal shadows",
journal = "Forum Mathematicum",
year = "2018",
month = "July",
volume = "30",
number = "6",
pages = "1539--1572",
doi = "10.1007/s00454-018-0006-0"
}
@article{dgd-c02-2018-07-Level_Dependent,
author = "Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer and Sissouno, Nada",
title = "Level-Dependent Interpolatory Hermite Subdivision Schemes and Wavelets",
journal = "Constructive Approximation",
year = "2018",
month = "July",
doi = "10.1007/s00365-018-9444-4"
}
@article{dgd-c02-2018-07-recovery,
author = "Iwen, Mark A. and Krahmer, Felix and Krause-Solberg, Sara and Maly, Johannes",
title = "On Recovery Guarantees for One-Bit Compressed Sensing on Manifolds",
journal = "preprint",
year = "2018",
month = "July",
arxiv = "arXiv:1807.06490v1"
}
@article{dgd-a01-2018-06-c-infty,
author = "Bücking, Ulrike",
title = "$C^\infty$-convergence of conformal mappings for conformally equivalent triangular lattices",
journal = "Results in Mathematics",
volume = "73",
number = "2",
pages = "84",
year = "2018",
month = "June",
publisher = "Springer",
arxiv = "1706.09145",
doi = "10.1007/s00025-018-0845-2",
issn = "1422-6383"
}
@article{dgd-c04-2018-05-computational,
author = "Bjerkevik, Havard Bakke and Botnan, Magnus Bakke",
title = "Computational Complexity of the Interleaving Distance",
journal = "Proceedings of the 34th International Symposium on Computational Geometry (SoCG 2018)",
year = "2018",
month = "May",
doi = "10.4230/LIPIcs.SoCG.2018.13"
}
@article{dgd-b11-2018-03-Gamma,
author = "Badal, Rufat and Cicalese, Marco and De Luca, Lucia and Ponsiglione, Marcello",
title = "$\Gamma$-Convergence Analysis of a Generalized $XY$ Model: Fractional Vortices and String Defects",
journal = "Communications in Mathematical Physics",
volume = "358",
number = "2",
pages = "705--739",
doi = "10.1007/s00220-017-3026-3",
year = "2018",
month = "March",
publisher = "Springer"
}
@unpublished{dgd-a03-2018-03-characterizing,
author = "Sjöberg, Hannah and Ziegler, Günter M.",
title = "Characterizing face and flag vector pairs for polytopes",
year = "2018",
month = "March",
note = "Preprint",
arxiv = "1803.04801",
acknowledge = "SFB",
notes = "Discrete Comput. Geometry, to appear"
}
@unpublished{dgd-c02-2018-03-compressed,
author = "Bodmann, B. and Flinth, A. and Kutyniok, G.",
title = "Compressed Sensing for Analog Signals",
year = "2018",
month = "March",
note = "preprint",
arxiv = "1803.04218"
}
@article{dgd-b08-2018-03-Continuum,
author = "Braides, A. and Cicalese, M. and Ruf, M.",
title = "Continuum limit and stochastic homogenization of discrete ferromagnetic thin films",
journal = "Analysis \& PDE, (2018), vol. 11, no.2, 499-553.",
year = "2018",
month = "March",
url = "https://msp.org/apde/2018/11-2/p06.xhtml"
}
@article{dgd-z02-2018-03-First-Steps,
author = "Strobel, Michael",
title = "First Steps in Non-standard Projective Geometry",
journal = "Preprint",
year = "2018",
month = "March",
arxiv = "1804.01850"
}
@unpublished{dgd-a03-2018-03-complete,
author = "Firsching, Moritz",
title = "The complete enumeration of $4$-polytopes and $3$-spheres with nine vertices",
note = "Preprint",
arxiv = "1803.05205",
year = "2018",
month = "March"
}
@article{dgd-c04-2018-03-using,
author = "Spreemann, Gard and Dunn, Benjamin and Botnan, Magnus Bakke and Baas, Nils A.",
title = "Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model",
journal = "Journal: Phys. Rev. E 97, 032313",
year = "2018",
month = "March",
doi = "10.1103/PhysRevE.97.032313"
}
@unpublished{dgd-a02-2018-2-discrete,
author = "Hoffmann, Tim and Ye, Zi",
title = "A discrete extrinsic and intrinsic Dirac operator",
year = "2018",
month = "February",
note = "Preprint",
arxiv = "1802.06278"
}
@article{dgd-c02-2018-02-RBKW18,
author = "Reisenhofer, R. and Bosse, S. and Kutyniok, G. and Wiegand, T.",
journal = "Signal Proc. Image Comm.",
pages = "33--43",
title = "A Haar Wavelet-Based Perceptual Similarity Index for Image Quality Assessment",
volume = "61",
year = "2018",
month = "February",
arxiv = "1607.06140",
doi = "10.1016/j.image.2017.11.001"
}
@article{dgd-a03-2018-2-small-f-vectors,
author = "Brinkmann, Philip and Ziegler, Günter M.",
title = "Small f-vectors of 3-spheres and of 4-polytopes",
journal = "Mathematics of Computation",
year = "2018",
month = "February",
arxiv = "1610.01028",
doi = "10.1090/mcom/3300",
volume = "87",
number = "314",
pages = "2955--2975"
}
@article{dgd-a01-2017-abelian-higgs,
author = "Bobenko, Alexander I and Sridhar, Ananth",
title = "Abelian Higgs vortices and discrete conformal maps",
journal = "Letters in Mathematical Physics",
volume = "108",
number = "2",
pages = "249–260",
year = "2018",
arxiv = "1703.04735",
doi = "10.1007/s11005-017-1004-5",
publisher = "Springer"
}
@inproceedings{CaP-2018-Bridges,
author = "Hartkopf, Anna Maria and Ziegler, Günter M.",
editor = "Torrence, Eve and Torrence, Bruce and S\'equin, Carlo and Fenyvesi, Krist\'of",
title = "Adopt a Polyhedron - A Citizen Art Project in Mathematics",
pages = "579--584",
booktitle = "Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture",
year = "2018",
isbn = "978-1-938664-27-4",
issn = "1099-6702",
publisher = "Tessellations Publishing",
address = "Phoenix, Arizona"
}
@article{dgd-a11-2018-algorithms-for,
author = "Hampe, Simon and Joswig, Michael and Schröter, Benjamin",
title = "Algorithms for Tight Spans and Tropical Linear Spaces",
journal = "Journal of Symbolic Computation",
year = "2018",
publisher = "Elsevier",
arxiv = "1612.03592",
note = "Proceedings of MEGA 2017",
doi = "10.1016/j.jsc.2018.06.016"
}
@article{dgd-C01-2018-Aligning_principal,
author = "Pellis, Davide and Pottmann, Helmut",
title = "Aligning principal stress and curvature directions",
year = "2018",
journal = "Advances in Architectural Geometry",
publisher = "Klein Publishing Ltd",
pages = "34-53"
}
@unpublished{dgd-a03-2018-cambrian,
author = "Labbé, Jean-Philippe and Lange, Carsten",
title = "Cambrian acyclic domains: counting $c$-singletons",
note = "Preprint",
year = "2018",
arxiv = "1802.07978"
}
@article{dgd-c01-2018-canonical,
author = "Amir Vaxman and Christian Müller and Ofir Weber",
title = "Canonical Möbius Subdivision",
journal = "ACM Trans. Graphics (Proc. SIGGRAPH ASIA)",
year = "2018",
volume = "37",
issue = "6",
url = "http://www.geometrie.tuwien.ac.at/geom/ig/publications/moebiussubdivision/moebiussubdivision.pdf"
}
@unpublished{dgd-a11-2018-cluster,
author = "Eble, Holger and Joswig, Michael and Lamberti, Lisa and Ludington, Will",
title = "Cluster partitions and fitness landscapes of the Drosophila fly microbiome",
year = "2018",
note = "Preprint",
arxiv = "1809.02533"
}
@unpublished{dgd-c04-2018-computings,
author = "Bjerkevik, Håvard Bakke and Botnan, Magnus Bakke and Kerber, Michael",
title = "Computing the interleaving distance is NP-hard",
year = "2018",
arxiv = "1811.09165",
note = "preprint",
journal = "Foundations of Computational Mathematics"
}
@article{dgd-c05-2018-constraint,
author = "Yadav, Sunil Kumar and Reitebuch, Ulrich and Skrodzki, Martin and Zimmermann, Eric and Polthier, Konrad",
title = "Constraint-based point set denoising using normal voting tensor and restricted quadratic error metrics",
journal = "Computers and Graphics",
volume = "74",
pages = "234 - 243",
year = "2018",
issn = "0097-8493",
doi = "10.1016/j.cag.2018.05.014",
xurl = "http://www.sciencedirect.com/science/article/pii/S0097849318300797",
keywords = "Point set denoising, Normal voting tensor, Binary eigenvalues optimization, Quadratic error metric"
}
@Inproceedings{dgd-c07-2018-coupled,
author = "Eckert, M-L and Heidrich, Wolfgang and Thuerey, Nils",
title = "Coupled Fluid Density and Motion from Single Views",
booktitle = "Computer Graphics Forum",
volume = "37",
pages = "47--58",
doi = "10.1111/cgf.13511",
year = "2018",
organization = "Wiley Online Library"
}
@inproceedings{dgd-c09-2018-deep,
author = "Yang, N. and Wang, R. and Stueckler, J. and Cremers, D.",
booktitle = "European Conference on Computer Vision (ECCV)",
pages = "817--833",
title = "Deep Virtual Stereo Odometry: Leveraging Deep Depth Prediction for Monocular Direct Sparse Odometry",
url = "https://eccv2018.org/openaccess/content\_ECCV\_2018/papers/Nan\_Yang\_Deep\_Virtual\_Stereo\_ECCV\_2018\_paper.pdf",
oldurl = "https://www.google.com/url?sa=t\&rct=j\&q=\&esrc=s\&source=web\&cd=5\&ved=2ahUKEwig6a6arbTlAhWosKQKHTx5ArQQFjAEegQIAxAJ\&url=https\%3A\%2F\%2Feccv2018.org\%2Fopenaccess\%2Fcontent\_ECCV\_2018\%2Fpapers\%2FNan\_Yang\_Deep\_Virtual\_Stereo\_ECCV\_2018\_paper.pdf\&usg=AOvVaw27R3Uiqvk51KNKigYkYrvu",
year = "2018"
}
@inproceedings{dgd-c09-2018-deepwrinkles,
author = "Lähner, Z. and Cremers, D. and Tung, T.",
booktitle = "European Conference on Computer Vision (ECCV)",
pages = "667--684",
title = "DeepWrinkles: Accurate and Realistic Clothing Modeling",
url = "https://www.springerprofessional.de/deepwrinkles-accurate-and-realistic-clothing-modeling/16183404",
year = "2018"
}
@incollection{dgd-c01-2018-09-Design,
author = "Schling, Eike and Kilian, Martin and Wang, Hui and Schikore, Denis and Pottmann, Helmut",
editor = "Hesselgren, Lars and Kilian, Axel and Malek, Samar and Olsson, Karl-Gunnar and Sorkine-Hornung, Olga and Williams, Chris",
title = "Design and construction of curved support structures with repetitive parameters",
year = "2018",
booktitle = "Advances in Architectural Geometry",
publisher = "Klein Publishing Ltd",
pages = "140-165"
}
@article{dgd-c01-2018-08-Designing,
author = "Peng, Chi-Han and Pottmann, Helmut and Wonka, Peter",
title = "Designing patterns using triangle-quad hybrid meshes",
journal = "ACM Trans. Graphics",
volume = "37",
number = "4",
pages = "14",
note = "Proc. SIGGRAPH",
year = "2018"
}
@article{dgd-c05-2018-directional,
author = "Skrodzki, Martin and Jansen, Johanna and Polthier, Konrad",
title = "Directional density measure to intrinsically estimate and counteract non-uniformity in point clouds",
journal = "Computer Aided Geometric Design",
volume = "64",
pages = "73 - 89",
year = "2018",
issn = "0167-8396",
doi = "10.1016/j.cagd.2018.03.011",
url = "http://www.sciencedirect.com/science/article/pii/S0167839618300256",
keywords = "Point Cloud, Non-Uniformity, Density Measure, Weights"
}
@article{dgd-c01-2018-form,
author = "Baek, Changyeob and Sageman-Furnas, Andrew O. and Jawed, Mohammad K. and Reis, Pedro M.",
title = "Form finding in elastic gridshells",
volume = "115",
number = "1",
pages = "75--80",
year = "2018",
doi = "10.1073/pnas.1713841115",
publisher = "National Academy of Sciences",
issn = "0027-8424",
url = "https://www.pnas.org/content/115/1/75",
journal = "Proceedings of the National Academy of Sciences"
}
@article{dgd-b11-2018-higher,
author = "Rüland, Angkana and Zillinger, Christian and Zwicknagl, Barbara",
title = "Higher Sobolev Regularity of Convex Integration Solutions in Elasticity: The Dirichlet Problem with Affine Data in int (${K}^{lc}$)",
journal = "SIAM Journal on Mathematical Analysis",
volume = "50",
number = "4",
pages = "3791--3841",
year = "2018",
doi = "10.1137/17M1149687",
publisher = "SIAM"
}
@article{akopyan2018incircular,
author = "Akopyan, Arseniy and Bobenko, Alexander",
title = "Incircular nets and confocal conics",
journal = "Transactions of the American Mathematical Society",
volume = "370",
number = "4",
pages = "2825--2854",
year = "2018",
doi = "10.1090/tran/7292",
arxiv = "1602.04637"
}
@article{dgd-a11-2018-log-barrier,
author = "Allamigeon, Xavier and Benchimol, Pascal and Gaubert, Stéphane and Joswig, Michael",
title = "Log-barrier interior point methods are not strongly polynomial",
journal = "SIAM J. Appl. Algebra Geom.",
year = "2018",
volume = "2",
number = "1",
pages = "140-178",
doi = "10.1137/17M1142132",
arxiv = "1708.01544"
}
@inproceedings{dgd-cap-2018-creation,
author = "B. Violet, C. Wagner and Eremenko, E.",
editor = "Swart, David and Séquin, Carlo H. and Fenyvesi, Kristóf",
title = "Math Creation- A Math-Art Competition",
pages = "355--358",
booktitle = "Proceedings of Bridges 2017",
year = "2018",
isbn = "978-1-938664-22-9",
issn = "1099-6702",
publisher = "Tessellations Publishing",
address = "Phoenix, Arizona",
url = "https://archive.bridgesmathart.org/2017/bridges2017-355.pdf"
}
@incollection{dgd-b02-2018-numerical,
author = "Vermeeren, Mats",
editor = "Ebrahimi-Fard, K. and Linan, M. Barbero",
title = "Numerical precession in variational discretizations of the Kepler problem",
booktitle = "Discrete Mechanics, Geometric Integration and Lie–Butcher Series",
publisher = "Springer, Cham",
year = "2018",
pages = "333--348",
isbn = "978-3-030-01396-7",
doi = "10.1007/978-3-030-01397-4\_10"
}
@article{dgd-c03-2018-optimal-approximation,
author = "Petersen, Philipp and Voigtlaender, Felix",
title = "Optimal approximation of piecewise smooth functions using deep ReLU neural networks",
journal = "Neural Networks",
volume = "108",
pages = "296--330",
year = "2018",
publisher = "Elsevier",
doi = "10.1016/j.neunet.2018.08.019",
arxiv = "1709.05289"
}
@article{dgd-a07-2015-saddle,
author = "Atariah, Dror and Rote, Günter and Wintraecken, Mathijs",
title = "Optimal Triangulation of saddle surfaces",
arxiv = "1511.01361",
doi = "10.1007/s13366-017-0351-9",
journal = "Beiträge zur Algebra und Geometrie",
volume = "59",
number = "1",
pages = "113--126",
year = "2018",
publisher = "Springer"
}
@article{dgd-a11-2018-parallel,
author = "Jordan, Charles and Joswig, Michael and Kastner, Lars",
title = "Parallel enumeration of triangulations",
journal = "Electron. J. Combin.",
fjournal = "Electronic Journal of Combinatorics",
volume = "25",
year = "2018",
number = "3",
pages = "Paper 3.6, 27",
issn = "1077-8926",
mrclass = "52B55 (52B70 68U05)",
mrnumber = "3829292",
url = "http://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i3p6",
arxiv = "1709.04746"
}
@article{dgd-c04-2018-01-Betti,
author = "Bauer, Ulrich and Pausinger, Florian",
title = "Persistent Betti numbers of random Čech complexes",
journal = "preprint",
year = "2018",
month = "January",
arxiv = "1801.08376"
}
@unpublished{dgd-a11-2018-polyhedral,
author = "Joswig, Michael and Smith, Ben",
title = "Polyhedral Tropical Geometry of Higher Rank",
year = "2018",
note = "preprint",
arxiv = "1809.01457"
}
@article{dgd-c04-2018-random,
author = "Edelsbrunner, Herbert and Nikitenko, Anton",
title = "Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics",
journal = "Ann. Appl. Probab.",
fjournal = "The Annals of Applied Probability",
volume = "28",
year = "2018",
number = "5",
pages = "3215--3238",
issn = "1050-5164",
doi = "10.1214/18-AAP1389"
}
@unpublished{dgd-a11-2018-semi-automatically,
author = "Burggraf, Timo and Joswig, Michael and Pfetsch, Marc E. and Radons, Manuel and Ulbrich, Stefan",
title = "Semi-automatically optimized calibration of internal combustion engines",
year = "2018",
note = "Preprint",
arxiv = "1806.10980"
}
@article{dgd-b08-smoothing,
author = "Cotar, C. and Friesecke, G. and Klüppelberg, C.",
title = "Smoothing of transport plans with fixed marginals and rigorous semiclassical limit of the Hohenberg-Kohn functional",
journal = "Archive for Rational Mechanics and Analysis",
volume = "228 (3)",
pages = "891-922",
doi = "10.1007/s00205-017-1208-y",
year = "2018"
}
@article{dgd-c07-2018-tempogan,
author = "Xie, You and Franz, Erik and Chu, Mengyu and Thuerey, Nils",
title = "tempogan: A temporally coherent, volumetric gan for super-resolution fluid flow",
journal = "TOG",
volume = "37",
number = "4",
pages = "95",
year = "2018",
doi = "10.1145/3197517.3201304",
publisher = "ACM"
}
@article{dgd-a11-2018-the-degree,
author = "Joswig, Michael and Schrüter, Benjamin",
title = "The degree of a tropical basis",
journal = "Proc. Amer. Math. Soc.",
year = "2018",
volume = "146",
number = "3",
pages = "961-970",
doi = "10.1090/proc/13787",
arxiv = "1511.08123"
}
@article{dgd-c04-2018-01-reeb,
author = "Bauer, Ulrich and Landi, Claudia and Memoli, Facundo",
title = "The Reeb Graph Edit Distance is Universal",
journal = "preprint",
year = "2018",
month = "January",
arxiv = "1801.01866"
}
@article{dgd-a11-2018-webs,
author = "Assarf, Benjamin and Joswig, Michael and Pfeifle, Julian",
title = "Webs of stars or how to triangulate free sums of point configurations",
journal = "J. Combin. Theory Ser. A",
fjournal = "Journal of Combinatorial Theory. Series A",
volume = "159",
year = "2018",
pages = "183--214",
issn = "0097-3165",
mrclass = "52B70 (52B20)",
mrnumber = "3820365",
doi = "10.1016/j.jcta.2018.05.007",
arxiv = "1512.08411"
}
@article{dgd-a03-2017-convex-equipartitions,
author = "Blagojević, Pavle V. M. and Rote, Günter and Steinmeyer, Johanna and Ziegler, Günter M.",
title = "Convex equipartitions of colored point sets",
journal = "Discrete Comput. Geometry",
month = "December",
year = "2017",
note = "Published online",
arxiv = "1705.03953"
}
@article{dgd-b09-2017-11-Lagrangian,
author = "José A. Carrillo, Bertram Düring, Daniel Matthes and McCormick, David S.",
title = "A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes",
journal = "Journal of Scientific Computing, June 2018, Volume 75, Issue 3, pp 1463–1499",
year = "2017",
month = "November",
doi = "10.1007/s10915-017-0594-5"
}
@article{dgd-c02-2017-11-compressed,
author = "Keiper, S. and Kutyniok, G. and Lee, D. G. and Pfander, G. E.",
title = "Compressed sensing for finite-valued signals",
journal = "Linear Algebra and its Applications",
year = "2017",
month = "November",
volume = "532",
pages = "570--613",
doi = "10.1016/j.laa.2017.07.006",
publisher = "Elsevier",
arxiv = "1609.09450"
}
@unpublished{dgd-a03-2017-semi-algebraic,
author = "Sjöberg, Hannah and Ziegler, Günter M.",
title = "Semi-algebraic sets of $f$-vectors",
year = "2017",
month = "November",
note = "Preprint",
arxiv = "1711.01864",
acknowledge = "SFB"
}
@inproceedings{dgd-a03-2017-10-what-is-math,
author = "Ziegler, Günter M and Loos, Andreas",
title = "“What is Mathematics?” and why we should ask, where one should experience and learn that, and how to teach it",
booktitle = "Proceedings of the 13th International Congress on Mathematical Education",
pages = "63--77",
year = "2017",
month = "November",
organization = "Springer",
doi = "10.1007/978-3-319-62597-3\_5"
}
@unpublished{dgd-c02-2017-10-analysis,
author = "Genzel, M. and Kutyniok, G. and März, M.",
title = "$\ell^1$-Analysis Minimization and Generalized (Co-)Sparsity: When Does Recovery Succeed?",
year = "2017",
month = "October",
note = "preprint"
}
@unpublished{dgd-a03-2017-10-cutting,
author = "Blagojević, Pavle V. M. and Palić, Nevena and Ziegler, Günter M.",
title = "Cutting a part from many measures",
year = "2017",
month = "October",
note = "Preprint, 15 pages",
arxiv = "1710.05118",
acknowledge = "MSRI,SFB"
}
@article{dgd-a00-2017-10-Motion,
author = "Ruf, Matthias",
title = "Motion of discrete interfaces in low-contrast random environments",
journal = "ESAIM: COCV, Volume 24, Number 3, July–September 2018",
year = "2017",
month = "October",
doi = "10.1051/cocv/2017067"
}
@unpublished{dgd-c04-2017-9-persistence,
author = "Bauer, Ulrich and Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian",
title = "Persistence in sampled dynamical systems faster",
note = "Preprint",
year = "2017",
month = "September",
arxiv = "1709.04068"
}
@unpublished{dgd-a03-2017-09-Thieves_can_make_sandwiches,
author = "Blagojević, Pavle V. M. and Soberón, Pablo",
title = "Thieves can make sandwiches",
year = "2017",
month = "September",
note = "preprint",
arxiv = "arXiv:1706.03640",
doi = "10.1112/blms.12109"
}
@unpublished{dgd-a03-2017-8-area-difference,
author = "Labbé, Jean-Philippe and Rote, Günter and Ziegler, Günter M.",
title = "Area difference bounds for dissections of a square into an odd number of triangles",
arxiv = "1708.02891",
note = "Preprint",
year = "2017",
month = "August"
}
@article{dgd-a11-2017-08-roundness,
author = "Lutz, F. H. and Mason, J. K. and Lazar, E. A. and MacPherson, R. D.",
title = "Roundness of grains in cellular microstructures",
journal = "Phys. Rev. E",
volume = "96",
issue = "2",
pages = "023001",
numpages = "21",
year = "2017",
month = "August",
publisher = "American Physical Society",
doi = "10.1103/PhysRevE.96.023001"
}
@article{dgd-a01-2017-07-hyperbolic,
author = "Springborn, Boris",
title = "Hyperbolic polyhedra and discrete uniformization",
arxiv = "1707.06848",
journal = "preprint",
year = "2017",
month = "July"
}
@article{dgd-c07-2017-07-inside,
author = "Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and Schröder, Peter",
title = "Inside Fluids: Clebsch Maps for Visualization and Processing",
journal = "ACM Trans. Graph.",
volume = "36",
number = "4",
month = "July",
year = "2017",
pages = "142:1--142:11",
doi = "10.1145/3072959.3073591",
publisher = "ACM"
}
@unpublished{dgd-a05-2017-06-weierstrass,
author = "Pinkall, Ulrich and Tervooren, Jonas",
title = "A Weierstrass representation for 2D elasticity",
note = "preprint",
year = "2017",
month = "June",
arxiv = "1706.06387"
}
@article{dgd-b08-2017-06-Crystallization,
author = "L. De Luca, G. Friesecke",
title = "Crystallization in two dimensions and a discrete Gauss-Bonnet theorem",
journal = "J Nonlinear Sci 28, 69-90, 2017",
year = "2017",
month = "June",
url = "https://link.springer.com/article/10.1007\%2Fs00332-017-9401-6"
}
@article{dgd-c07-2017-skel,
author = "Eberhardt, Sebastian and Weissmann, Steffen and Pinkall, Ulrich and Thuerey, Nils",
title = "Hierarchical Vorticity Skeletons",
year = "2017",
month = "June",
journal = "Proceedings of the Symposium on Computer Animation (SCA '12)",
publisher = "Eurographics/ACM",
volume = "to appear",
pages = "11",
url = "https://ge.in.tum.de/download/2017-sca-eberhardt.pdf",
doi = "10.1145/3099564.3099569"
}
@article{dgd-b09-2017-06-unicorns,
author = "Junge, Oliver and Kevrekidis, Ioannis G",
title = "On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems",
journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science, Nr. 6, Volume 27",
year = "2017",
month = "June",
doi = "10.1063/1.4983468"
}
@incollection{dgd-a03-2017-journey,
author = "Blagojević, Pavle V. M. and Ziegler, Günter M.",
editor = "Loebl, Martin and Nešetřil, Jaroslav and Thomas, Robin",
title = "Beyond the Borsuk-Ulam Theorem: The Topological Tverberg Story",
booktitle = "Journey Through Discrete Mathematics. A Tribute to Jiří Matoušek",
publisher = "Springer",
year = "2017",
month = "May",
pages = "273--341",
arxiv = "1605.07321",
doi = "10.1007/978-3-319-44479-6\_11"
}
@article{dgd-a01-2017-discrete-cmc,
author = "Bobenko, Alexander I. and Romon, Pascal",
title = "Discrete CMC surfaces in $\mathbb{R}^3$ and discrete minimal surfaces in $\mathbb{S}^3$: a discrete Lawson correspondence",
journal = "Journal of Integrable Systems",
volume = "2",
number = "1",
pages = "1-18",
year = "2017",
month = "May",
day = "2",
url = "https://academic.oup.com/integrablesystems/article/2/1/xyx010/4344752",
arxiv = "1705.01053"
}
@article{dgd-b08-2017-04-Classification,
author = "L. De Luca, G. Friesecke",
title = "Classification of Particle Numbers with Unique Heitmann-Radin Minimizer",
journal = "J. Stat. Phys. 167, Issue 6, 1586–1592, 2017",
year = "2017",
month = "April",
url = "https://link.springer.com/article/10.1007/s10955-017-1781-3"
}
@article{dgd-b09-2017-03-Convergent,
author = "Matthes, Daniel and Söllner, Benjamin",
title = "Convergent Lagrangian Discretization for Drift-Diffusion with Nonlocal Aggregation",
journal = "Innovative Algorithms and Analysis pp 313-351",
year = "2017",
month = "March",
doi = "10.1007/978-3-319-49262-9\_12"
}
@article{dgd-a01-2017-03-smooth,
author = "Günther, Felix and Jiang, Caigui and Pottmann, Helmut",
title = "Smooth polyhedral surfaces",
arxiv = "1703.05318",
journal = "preprint",
year = "2017",
month = "March"
}
@article{dgd-b08-2017-02-Interfaces,
author = "Braides, A. and Cicalese, M.",
title = "Interfaces, modulated phases and textures in lattice systems",
journal = "Arch. Rat. Mech. Anal., 223, (2017), 977-1017",
year = "2017",
month = "February",
url = "https://link.springer.com/article/10.1007/s00205-016-1050-7"
}
@article{dgd-c01-2017-supercyclidic,
author = "Bobenko, Alexander I and Huhnen-Venedey, Emanuel and Rörig, Thilo",
title = "Supercyclidic nets",
journal = "International Mathematics Research Notices",
volume = "2017",
number = "2",
pages = "323--371",
year = "2017",
month = "February",
publisher = "Oxford University Press",
arxiv = "1412.7422",
doi = "10.1093/imrn/rnv328"
}
@article{petrera2017construction,
author = "Petrera, Matteo and Suris, Yuri B",
title = "A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps",
journal = "Proceedings of the Royal Society of London A: Mathematical",
volume = "473",
number = "2198",
year = "2017",
doi = "10.1098/rspa.2016.0535",
arxiv = "1606.08238"
}
@article{dgd-a02-2017-discrete_parameterized,
author = "Hoffmann, Tim and Sageman-Furnas, Andrew O. and Wardetzky, Max",
title = "A Discrete Parametrized Surface Theory in $\mathbb{R}^3$",
journal = "International Mathematics Research Notices",
volume = "2017",
number = "14",
pages = "4217-4258",
year = "2017",
issn = "1073-7928",
doi = "10.1093/imrn/rnw015",
arxiv = "1412.7293"
}
@article{dgd,
author = "Brinkmann, Philip and Ziegler, Günter M",
title = "A flag vector of a 3-sphere that is not the flag vector of a 4-polytope",
journal = "Mathematika",
volume = "63",
number = "1",
pages = "260--271",
year = "2017",
publisher = "London Mathematical Society",
arxiv = "1506.08148",
doi = "10.1112/S0025579316000267"
}
@article{dgd-b09-2017-Fully,
author = "Oliver Junge, Daniel Matthes and Osberger, Horst",
title = "A Fully Discrete Variational Scheme for Solving Nonlinear Fokker-Planck Equations in Multiple Space Dimensions",
journal = "SIAM Journal on Numerical Analysis",
volume = "55",
number = "1",
pages = "419-443",
year = "2017",
doi = "10.1137/16M1056560",
arxiv = "1509.07721"
}
@article{dgd-c03-2017-bendlets,
author = "Lessig, Christian and Petersen, Philipp and Schäfer, Martin",
title = "Bendlets: A second-order shearlet transform with bent elements",
journal = "Applied and Computational Harmonic Analysis",
year = "2017",
publisher = "Elsevier",
doi = "10.1016/j.acha.2017.06.002",
arxiv = "1607.05520"
}
@article{dgd-a03-2017-4-colorful,
author = "Adiprasito, Karim and Brinkmann, Philip and Padrol, Arnau and Paták, Pavel and Patáková, Zuzana and Sanyal, Raman",
title = "Colorful simplicial depth, Minkowski sums, and generalized Gale transforms",
journal = "International Mathematics Research Notices",
year = "2017",
arxiv = "1607.00347",
doi = "10.1093/imrn/rnx184"
}
@article{dgd-a03-2017-4-mixed,
author = "Jochemko, Katharina and Sanyal, Raman",
title = "Combinatorial mixed valuations",
journal = "Advances in Mathematics",
volume = "319",
pages = "630--652",
year = "2017",
publisher = "Elsevier",
arxiv = "1605.07431",
doi = "10.1016/j.aim.2017.08.032"
}
@incollection{dgd-c07-2017-bundles,
author = "Knöppel, F. and Pinkall, U.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
title = "Complex Line Bundles over Simplicial Complexes and their Applications",
year = "2017",
month = "January",
arxiv = "1506.07853"
}
@article{dgd-a11-2017-computing,
author = "Assarf, Benjamin and Gawrilow, Ewgenij and Herr, Katrin and Joswig, Michael and Lorenz, Benjamin and Paffenholz, Andreas and Rehn, Thomas",
title = "Computing convex hulls and counting integer points with $\texttt{polymake}$",
journal = "Math. Program. Comput.",
volume = "9",
year = "2017",
number = "1",
pages = "1-38",
mrclass = "90C57 (52 90-04)",
mrnumber = "3613012",
doi = "10.1007/s12532-016-0104-z",
arxiv = "1408.4653v2"
}
@article{dgd-b11-2017-deformation,
author = "Conti, Sergio and Diermeier, Johannes and Zwicknagl, Barbara",
title = "Deformation concentration for martensitic microstructures in the limit of low volume fraction",
journal = "Calc. Var. Partial Differential Equations",
fjournal = "Calculus of Variations and Partial Differential Equations",
volume = "56",
year = "2017",
number = "1",
pages = "Art. 16, 24",
issn = "0944-2669",
doi = "10.1007/s00526-016-1097-1"
}
@incollection{dgd-a01-2017-discrete,
author = "A.I. Bobenko, U. Bücking, S. Sechelmann",
editor = "D. Levi, R. Verge-Rebelo and Winternitz, P.",
booktitle = "Modern Approaches to Discrete Curvature",
publisher = "Springer",
title = "Discrete minimal surfaces of Koebe type",
pages = "259-291.",
year = "2017"
}
@article{dgd-a01-2017-discrete-riemann,
author = "Bobenko, Alexander I and Günther, Felix",
title = "Discrete Riemann surfaces based on quadrilateral cellular decompositions",
journal = "Advances in Mathematics",
volume = "311",
pages = "885--932",
year = "2017",
arxiv = "1511.00652",
publisher = "Elsevier",
doi = "10.1016/j.aim.2017.03.010",
issn = "0001-8708"
}
@inproceedings{dgd-c05-2017-discrete,
author = "Poelke, Konstantin and Polthier, Konrad",
title = "Discrete Topology-Revealing Vector Fields on Simplicial Surfaces with Boundary",
booktitle = "Proc. of TopoInVis 2017",
year = "2017",
url = "https://www.semanticscholar.org/paper/Discrete-Topology-Revealing-Vector-Fields-on-with-Poelke-Polthier/e21049641234976a56bbb668287b382412ccdfe1"
}
@article{dgd-a01-2017-discrete-uniformization,
author = "Bobenko, Alexander I and Dimitrov, Nikolay and Sechelmann, Stefan",
title = "Discrete Uniformization of Polyhedral Surfaces with Non-positive Curvature and Branched Covers over the Sphere via Hyper-ideal Circle Patterns",
journal = "Discrete \& Computational Geometry",
volume = "57",
number = "2",
pages = "431--469",
year = "2017",
arxiv = "1510.04053",
publisher = "Springer"
}
@article{dgd-c04-2017-9-expected,
author = "Edelsbrunner, Herbert and Nikitenko, Anton and Reitzner, Matthias",
title = "Expected sizes of Poisson--Delaunay mosaics and their discrete Morse functions",
journal = "Advances in Applied Probability",
volume = "49",
number = "3",
pages = "745--767",
year = "2017",
publisher = "Cambridge University Press",
arxiv = "1607.05915"
}
@article{dgd-a03-2017-4-hypersimplices,
author = "Grande, Francesco and Padrol, Arnau and Sanyal, Raman",
title = "Extension complexity and realization spaces of hypersimplices",
year = "2017",
journal = "Discrete Comput Geom",
arxiv = "1601.02416",
doi = "10.1007/s00454-017-9925-4"
}
@article{dgd-b03-finite-size-effects,
author = "Bornemann, Folkmar and Forrester, Peter J. and Mays, Anthony",
title = "Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros",
journal = "Studies in Applied Mathematics",
volume = "138",
number = "4",
issn = "1467-9590",
doi = "10.1111/sapm.12160",
pages = "401--437",
year = "2017"
}
@incollection{dgd-a01-2017-introduction,
author = "Bücking, U.",
editor = "D. Levi, R. Verge-Rebelo and Winternitz, P.",
booktitle = "Symmetries and Integrability of Difference Equations: Lecture Notes of the Abecederian of SIDE 12, Montréal 2016",
publisher = "Springer",
series = "CRM Ser. Math. Phys.",
title = "Introduction to linear and nonlinear integrable theories in discrete complex analysis",
pages = "153-193",
year = "2017",
doi = "10.1007/978-3-319-56666-5\_4"
}
@inproceedings{dgd-c09-2017-learning,
author = "Meinhardt, Tim and Moeller, Michael and Hazirbas, Caner and Cremers, Daniel",
booktitle = "IEEE International Conference on Computer Vision (ICCV)",
pages = "1781--1790",
title = "Learning Proximal Operators: Using Denoising Networks for Regularizing Inverse Imaging Problems",
url = "http://openaccess.thecvf.com/content\_ICCV\_2017/papers/Meinhardt\_Learning\_Proximal\_Operators\_ICCV\_2017\_paper.pdf",
oldurl = "https://www.google.com/url?sa=t\&rct=j\&q=\&esrc=s\&source=web\&cd=4\&ved=2ahUKEwjzqr-crrTlAhUDDOwKHd7EB1wQFjADegQIAhAJ\&url=http\%3A\%2F\%2Fopenaccess.thecvf.com\%2Fcontent\_ICCV\_2017\%2Fpapers\%2FMeinhardt\_Learning\_Proximal\_Operators\_ICCV\_2017\_paper.pdf\&usg=AOvVaw0O4I76UeEXscjWimEuJaeR",
year = "2017"
}
@unpublished{dgd-a03-2017-4-lipschitz,
author = "Sanyal, Raman and Stump, Christian",
title = "Lipschitz polytopes of posets and permutation statistics",
note = "Preprint",
year = "2017",
arxiv = "1703.10586"
}
@article{dgd-c01-2017-11-Material,
author = "Kilian, Martin and Pellis, Davide and Wallner, Johannes and Pottmann, Helmut",
title = "Material-minimizing forms and structures",
journal = "ACM Trans. Graphics",
volume = "36",
year = "2017",
number = "6",
pages = "article 173",
doi = "10.1145/3130800.3130827",
note = "Proc. SIGGRAPH Asia"
}
@article{dgd-a11-2017-matroids,
author = "Joswig, Michael and Schröter, Benjamin",
title = "Matroids from hypersimplex splits",
journal = "Journal of Combinatorial Theory, Series A",
volume = "151",
pages = "254--284",
year = "2017",
publisher = "Elsevier",
doi = "10.1016/j.jcta.2017.05.001",
arxiv = "1607.06291"
}
@inproceedings{sgs-c03-2017-memory-optimal,
author = "Bölcskei, Helmut and Grohs, Philipp and Kutyniok, Gitta and Petersen, Philipp",
title = "Memory-optimal neural network approximation",
booktitle = "Wavelets and Sparsity XVII",
volume = "10394",
pages = "103940Q",
year = "2017",
organization = "International Society for Optics and Photonics",
url = "https://www.math.tu-berlin.de/fileadmin/i26\_fg-kutyniok/Kutyniok/Papers/EfficientMemoryDNNs.pdf",
doi = "10.1117/12.2272490"
}
@article{fdgd-a03-2017-minkowski,
author = "Frick, Florian and Sanyal, Raman",
title = "Minkowski complexes and convex threshold dimension",
journal = "Journal of Combinatorial Theory, Series A",
volume = "151",
pages = "202--206",
year = "2017",
publisher = "Elsevier",
url = "http://www.sciencedirect.com/science/article/pii/S0097316517300584",
arxiv = "1607.07814"
}
@article{dgd-a03-2017-4-ehrhart,
author = "Haase, Christian and Juhnke-Kubitzke, Martina and Sanyal, Raman and Theobald, Thorsten",
title = "Mixed Ehrhart polynomials",
journal = "Electron. J. Combin.",
year = "2017",
volume = "24",
number = "Issue 1",
pages = "Paper \#P1.10",
url = "http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p10",
arxiv = "1509.02254"
}
@article{dgd-b02-2017-modified,
author = "Vermeeren, Mats",
title = "Modified equations for variational integrators",
journal = "Num. Math.",
year = "2017",
volume = "137",
pages = "1001--1037",
doi = "10.1007/s00211-017-0896-4",
arxiv = "1505.05411"
}
@unpublished{dgd-a11-2017-monomial,
author = "Joswig, Michael and Loho, Georg",
title = "Monomial tropical cones for multicriteria optimization",
year = "2017",
note = "Preprint",
arxiv = "1707.09305"
}
@article{dgd-b02-2017-new-classes,
author = "Petrera, Matteo and Zander, René",
title = "New classes of quadratic vector fields admitting integral-preserving Kahan--Hirota--Kimura discretizations",
journal = "Journal of Physics A: Mathematical and Theoretical",
volume = "50",
number = "20",
pages = "205203",
year = "2017",
publisher = "IOP Publishing",
arxiv = "1610.03664",
doi = "10.1088/1751-8121/aa6a0f"
}
@unpublished{dgd-a03-2017-4-fvectors,
author = "Codenotti, Giulia and Katthän, Lukas and Sanyal, Raman",
title = "On $f$- and $h$-vectors of relative simplicial complexes",
note = "Preprint",
year = "2017",
arxiv = "1711.02729"
}
@article{dgd-a03-2017-on-degree,
author = "Gellert, Laura and Sanyal, Raman",
title = "On degree sequences of undirected, directed, and bidirected graphs",
journal = "European Journal of Combinatorics",
volume = "64",
pages = "113--124",
year = "2017",
publisher = "Elsevier",
url = "http://www.sciencedirect.com/science/article/pii/S0195669817300409",
arxiv = "1512.08448"
}
@article{dgd-b02-2017-classification-multi,
author = "Petrera, Matteo and Suris, Yuri B",
title = "On the classification of multidimensionally consistent 3D maps",
journal = "Letters in Mathematical Physics",
volume = "107",
number = "11",
pages = "2013--2027",
year = "2017",
publisher = "Springer",
arxiv = "1509.03129",
doi = "10.1007/s11005-017-0976-5"
}
@article{dgd-b02-2017-construction,
author = "Petrera, Matteo and Pfadler, Andreas and Suris, Yuri B",
title = "On the construction of elliptic solutions of integrable birational maps",
journal = "Experimental Mathematics",
volume = "26",
number = "3",
pages = "324--341",
year = "2017",
arxiv = "1409.1741",
notes = "with appendix by Yu.N. Fedorov",
doi = "10.1080/10586458.2016.1166354",
publisher = "Taylor \& Francis"
}
@article{dgd-b12-2017-phat,
author = "Bauer, Ulrich and Kerber, Michael and Reininghaus, Jan and Wagner, Hubert",
title = "Phat-persistent homology algorithms toolbox",
journal = "J. Symbolic Comput.",
fjournal = "Journal of Symbolic Computation",
volume = "78",
year = "2017",
pages = "76--90",
issn = "0747-7171",
doi = "10.1016/j.jsc.2016.03.008",
url = "http://bitbucket.org/phat-code/"
}
@article{dgd-a03-2016-polynomial-partitioning,
author = "Blagojević, Pavle V. M. and Blagojević, Aleksandra S. Dimitrijević and Ziegler, Günter M.",
title = "Polynomial partitioning for several sets of varieties",
journal = "J. Fixed Point Theory Appl.",
volume = "19",
year = "2017",
pages = "1653--1660",
arxiv = "1601.01629"
}
@article{dgd-a01-2017-03-quasiconformal,
author = "Born, Stefan and Bücking, Ulrike and Springborn, Boris",
title = "Quasiconformal Dilatation of Projective Transformations and Discrete Conformal Maps",
journal = "Discrete \& Computational Geometry",
volume = "57",
number = "2",
pages = "305--317",
year = "2017",
arxiv = "1505.01341",
publisher = "Springer"
}
@article{dgd-a03-2017-realizability,
author = "Firsching, Moritz",
title = "Realizability and Inscribability for Simplicial Polytopes via Nonlinear Optimization",
journal = "Mathematical Programming",
volume = "166",
number = "1-2",
pages = "273--295",
year = "2017",
publisher = "Springer",
arxiv = "1508.02531",
doi = "10.1007/s10107-017-1120-0"
}
@article{dgd-a03-2017-02-reflection,
author = "Friedl, Tobias and Riener, Cordian and Sanyal, Raman",
title = "Reflection groups, reflection arrangements, and invariant real varieties",
journal = "Proceedings of the American Mathematical Society",
year = "2017",
doi = "10.1090/proc/13821",
url = "http://www.ams.org/journals/proc/0000-000-00/S0002-9939-2017-13821-0/home.html",
arxiv = "1602.06732"
}
@article{dgd-c01-2017-regular,
author = "Vaxman, Amir and Müller, Christian and Weber, Ofir",
title = "Regular meshes from polygonal patterns",
journal = "ACM Transactions on Graphics (TOG)",
volume = "36",
number = "4",
pages = "113",
year = "2017",
publisher = "ACM",
doi = "10.1145/3072959.3073593"
}
@article{dgd-a03-2017-simple-polytopes-I,
author = "Loiskekoski, Lauri and Ziegler, Günter M",
title = "Simple polytopes without small separators",
journal = "Israel Journal of Mathematics",
volume = "221",
number = "2",
pages = "731--739",
year = "2017",
publisher = "Springer",
arxiv = "1510.00511",
doi = "10.1007/s11856-017-1572-1"
}
@unpublished{dgd-a03-2017-8-simple-polytopes,
author = "Loiskekoski, Lauri and Ziegler, Günter M.",
title = "Simple polytopes without small separators, II: Thurston's bound",
note = "Preprint, Israel J. Math., to appear",
arxiv = "1708.06718",
year = "2017"
}
@article{dgd-a01-2017-hyperbolic,
author = "Springborn, B.",
title = "The hyperbolic geometry of Markov's theorem on Diophantine approximation and quadratic forms",
journal = "Enseign. Math.",
fjournal = "L'Enseignement Math\'{e}matique",
volume = "63",
year = "2017",
number = "3-4",
pages = "333--373",
issn = "0013-8584",
mrclass = "11J06 (30F45 32G15)",
mrnumber = "3852175",
doi = "10.4171/LEM/63-3/4-5"
}
@article{dgd-c04-2017-morse,
author = "Bauer, Ulrich and Edelsbrunner, Herbert",
title = "The Morse theory of Čech and Delaunay complexes",
journal = "Transactions of the American Mathematical Society",
volume = "369",
number = "5",
pages = "3741--3762",
year = "2017",
arxiv = "1312.1231",
doi = "10.1090/tran/6991"
}
@article{dgd-b08-zak,
author = "Jüstel, D.",
title = "The Zak transform on strongly proper G-spaces and its applications",
journal = "Journal of the London Math. Society",
volume = "97",
pages = "47-76",
doi = "10.1112/jlms.12097",
year = "2017"
}
@article{dgd-a03-2014-08-theta,
author = "Grande, Francesco and Sanyal, Raman",
title = "Theta rank, levelness, and matroid minors",
year = "2017",
journal = "J. Combin. Theory Ser. B",
volume = "123",
pages = "1–31",
arxiv = "1408.1262",
doi = "10.1016/j.jctb.2016.11.002"
}
@incollection{dgd-a11-2017-tropical-computations,
author = "Hampe, Simon and Joswig, Michael",
editor = "Böckle, Gebhard and Decker, Wolfram and Malle, Gunter",
title = "Tropical computations in polymake",
booktitle = "Algorithmic and experimental methods in algebra, geometry, and number theory",
pages = "361--385",
publisher = "Springer, Cham",
year = "2017",
mrclass = "14T05 (14Q15 52B40)",
mrnumber = "3792732",
arxiv = "1612.02581"
}
@unpublished{dgd-a03-2017-Tverberg,
author = "Blagojević, Pavle V. M. and Haase, Albert and Ziegler, Günter M.",
title = "Tverberg-type theorems for matroids: A counterexample and a proof",
note = "Preprint",
year = "2017",
arxiv = "1705.03624"
}
@article{dgd-a03-2017-4-poset,
author = "Chappell, Thomas and Friedl, Tobias and Sanyal, Raman",
title = "Two double poset polytopes",
journal = "SIAM Journal on Discrete Mathematics",
volume = "31",
number = "4",
pages = "2378--2413",
year = "2017",
publisher = "SIAM",
url = "http://epubs.siam.org/doi/10.1137/16M1091800",
arxiv = "1606.04938"
}
@article{dgd-a03-2017-4-variational-symmetries,
author = "Petrera, Matteo and Suris, Yuri B",
title = "Variational symmetries and pluri-Lagrangian systems in classical mechanics",
journal = "Journal of Nonlinear Mathematical Physics",
volume = "24",
number = "sup1",
pages = "121--145",
year = "2017",
publisher = "Taylor \& Francis",
arxiv = "1710.01526",
doi = "10.1080/14029251.2017.1418058"
}
@article{dgd-a05-2016-discrete,
author = "Lam, Wai Yeung",
title = "Discrete minimal surfaces: critical points of the area functional from integrable systems",
journal = "International Mathematics Research Notices",
volume = "2018",
number = "6",
pages = "1808--1845",
year = "2016",
publisher = "Oxford University Press",
arxiv = "1510.08788",
month = "December",
doi = "10.1093/imrn/rnw267"
}
@article{dgd-b09-2016-12-high,
author = "Plazotta, Simon and Zinsl, Jonathan",
title = "High-frequency limit of non-autonomous gradient flows of functionals with time-periodic forcing",
journal = "Journal of Differential Equations, Vol. 261, Issue 12, 15 December 2016, Pages 6806-6855",
year = "2016",
month = "December",
doi = "10.1016/j.jde.2016.09.003"
}
@unpublished{dgd-c04-2017-11-persistence,
author = "Bauer, Ulrich and Lesnick, Michael",
title = "Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem",
note = "Preprint",
year = "2016",
month = "November",
arxiv = "1610.10085"
}
@article{dgd-b08-2016-10-first_word_of_title,
author = "A. Braides, M. Cicalese and Yip, N.K.",
title = "Crystalline Motion of Interfaces Between Patterns",
journal = "Journal of Statistical Physics October 2016, Volume 165, Issue 2, pp 274–319",
year = "2016",
month = "October",
url = "https://link.springer.com/article/10.1007/s10955-016-1609-6"
}
@article{dgd-a02-2016-09-Lax,
author = "Hoffmann, Tim and Sageman-Furnas, Andrew O.",
title = "A $2 \times 2$ Lax Representation, Associated Family, and Bäcklund Transformation for Circular K-Nets",
journal = "Discrete \& Computational Geometry",
year = "2016",
month = "September",
day = "01",
volume = "56",
number = "2",
pages = "472--501",
issn = "1432-0444",
doi = "10.1007/s00454-016-9802-6",
arxiv = "1510.06654"
}
@article{dgd-b08-2016-07-Chirality,
author = "Cicalese, Marco and Ruf, Matthias and Solombrino, Francesco",
title = "Chirality transitions in frustrated S2-valued spin systems",
journal = "Math. Models Methods Appl. Sci., 26, (2016), no. 8, 1481-1529",
year = "2016",
month = "July",
doi = "10.1142/S0218202516500366"
}
@article{dgd-z02-2016-07-CIndyGL,
author = "Montag, Aaron and Richter-Gebert, Jürgen",
title = "CindyGL: Authoring GPU-Based Interactive Mathematical Content",
journal = "ICMS 2016: Mathematical Software – ICMS 2016 pp 359-365",
year = "2016",
month = "July",
doi = "10.1007/978-3-319-42432-3\_44"
}
@article{dgd-c07-2016-smoke,
author = "Chern, Albert and Knöppel, Felix and Pinkall, Ulrich and Schröder, Peter and Weißmann, Steffen",
title = "Schrödinger's Smoke",
year = "2016",
journal = "ACM Trans. Graph.",
volume = "35",
pages = "77:1--77:13",
numpages = "13",
doi = "10.1145/2897824.2925868",
issn = "0730-0301",
month = "July"
}
@article{dgd-b09-2016-06-Long-Time,
author = "Maas, Jan and Matthes, Daniel",
title = "Long-Time Behavior of a Finite Volume Discretization for a Fourth Order Diffusion Equation",
journal = "Nonlinearity, Volume 29, Number 7",
year = "2016",
month = "June",
url = "http://iopscience.iop.org/article/10.1088/0951-7715/29/7/1992/meta"
}
@article{dgd-c01-2016-planar,
author = "Müller, Christian",
title = "Planar discrete isothermic nets of conical type",
journal = "Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry",
volume = "57",
number = "2",
pages = "459--482",
year = "2016",
month = "June",
publisher = "Springer",
doi = "10.1007/s13366-015-0256-4"
}
@article{dgd-cap-2016-03-revolution,
author = "Tyre, Peg",
title = "Math Revolution",
journal = "Atlantic Daily",
year = "2016",
month = "March",
url = "https://www.theatlantic.com/magazine/archive/2016/03/the-math-revolution/426855"
}
@unpublished{dgd-a03-2016-3-topological,
author = "Blagojević, Pavle V. M. and Blagojević, Aleksandra S. Dimitrijević and Ziegler, Günter M.",
title = "The topological transversal Tverberg theorem plus constraints",
year = "2016",
month = "march",
note = {Preprint, "Discrete and Intuitive Geometry -- László Fejes Tóth 100 Festschrift" (G. Ambrus, I. Bárány, K. J. Böröczky, G. Fejes Tóth, J. Pach, eds.), Bolyai Society Mathematical Studies series, to appear},
arxiv = "1604.02814"
}
@unpublished{dgd-b02-2016-6-construction-commuting,
author = "Petrera, Matteo and Suris, Yuri B",
title = "A construction of commuting systems of integrable symplectic birational maps",
note = "Preprint",
year = "2016",
arxiv = "1607.07085"
}
@unpublished{dgd-b02-2016-12-construction-commuting,
author = "Petrera, Matteo and Suris, Yuri B",
title = "A construction of commuting systems of integrable symplectic birational maps. Lie-Poisson case",
note = "Preprint",
year = "2016",
arxiv = "1612.04349"
}
@article{dgd-b03-2016-03-eigenvalue-distribution,
author = "Bornemann, Folkmar",
title = "A note on the expansion of the smallest eigenvalue distribution of the LUE at the hard edge",
journal = "The Annals of Applied Probability",
volume = "26",
number = "3",
pages = "1942--1946",
year = "2016",
publisher = "Institute of Mathematical Statistics",
doi = "10.1214/15-AAP1121",
arxiv = "1504.00235"
}
@article{dgd-a03-2013-06-uni,
author = "Adiprasito, Karim and Padrol, Arnau",
journal = "Israel J. Math.",
title = "A universality theorem for projectively unique polytopes and a conjecture of Shephard",
year = "2016",
arxiv = "1301.2960",
volume = "211",
pages = "239-255"
}
@incollection{dgd-a01-2016-cyclic-polygons,
author = "Kourimska, H. and Skuppin, L. and Springborn, B.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
note = "Preprint at arxiv",
publisher = "Springer",
title = "A variational principle for cyclic polygons with prescribed edge lengths",
year = "2016",
arxiv = "1506.08069"
}
@incollection{dgd-c01-2016-Analysis,
author = "Tang, Chengcheng and Kilian, Martin and Bo, Pengbo and Wallner, Johannes and Pottmann, Helmut",
editor = "Adriaenssens, Sigrid and Gramazio, Fabio and Kohler, Matthias and Menges, Achim and Pauly, Mark",
title = "Analysis and design of curved support structures",
year = "2016",
booktitle = "Advances in Architectural Geometry 2016",
publisher = "VDF Hochschulverlag, ETH Zürich",
pages = "8-23"
}
@incollection{dgd-a01-2016-Approximation,
author = "Bücking, U.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
note = "Preprint at arxiv",
publisher = "Springer",
title = "Approximation of conformal mappings using confomally equivalent triangular lattices",
year = "2016",
arxiv = "1507.06449"
}
@article{dgd-b07-2016-billiards,
author = "Suris, Yuri B.",
title = "Billiards in confocal quadrics as a pluri-Lagrangian system",
year = "2016",
arxiv = "1511.06123",
journal = "Theoretical and Applied Mechanics",
volume = "43",
number = "2",
pages = "221--228",
doi = "10.2298/TAM160304008S"
}
@article{dgd-c05-2016-boundary,
author = "Poelke, Konstantin and Polthier, Konrad",
title = "Boundary-aware Hodge decompositions for piecewise constant vector fields",
journal = "Computer-Aided Design",
volume = "78",
pages = "126 - 136",
year = "2016",
issn = "0010-4485",
doi = "10.1016/j.cad.2016.05.004",
xurl = "http://www.sciencedirect.com/science/article/pii/S0010448516300240"
}
@inproceedings{dgd-cap-2016-cindyjs,
author = "von Gagern, Martin and Kortenkamp, Ulrich and Richter-Gebert, Jürgen and Strobel, Michael",
title = "CindyJS",
booktitle = "International Congress on Mathematical Software",
pages = "319--326",
year = "2016",
doi = "10.1007/978-3-319-42432-3\_39",
organization = "Springer"
}
@inproceedings{dgd-cap-2016-plugins,
author = "von Gagern, Martin and Richter-Gebert, Jürgen",
title = "CindyJS Plugins",
booktitle = "International Congress on Mathematical Software",
pages = "327--334",
year = "2016",
doi = "10.1007/978-3-319-42432-3\_40",
organization = "Springer"
}
@article{dgd-b02-2016-circle-compexes,
author = "Bobenko, Alexander I and Schief, Wolfgang K",
title = "Circle complexes and the discrete CKP equation",
journal = "International Mathematics Research Notices",
volume = "2017",
number = "5",
pages = "1504--1561",
year = "2016",
publisher = "Oxford University Press",
arxiv = "1509.04109",
doi = "10.1093/imrn/rnw021"
}
@article{dgd-b09-2016-computing,
author = "Andres Denner, Oliver Junge and Matthes, Daniel",
title = "Computing coherent sets using the Fokker-Planck equation",
journal = "Journal of Computational Dynamics, 2016, Vol. 3, Issue 2",
year = "2016",
doi = "10.3934/jcd.2016008"
}
@incollection{dgd-a01-2016-Constructing,
author = "Bücking, U. and Matthes, D.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
note = "Preprint at arxiv",
publisher = "Springer",
title = "Constructing solutions to the Björling problem for isothermic surfaces by structure preserving discretization",
year = "2016",
arxiv = "1506.07337"
}
@incollection{dgd-ii-2016-DGD-Gallery,
author = "Joswig, Michael and Mehner, Milan and Sechelmann, Stefan and Techter, Jan and Bobenko, Alexander I.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
doi = "10.1007/978-3-662-50447-5\_14",
title = "DGD Gallery: Storage, sharing, and publication of digital research data",
year = "2016"
}
@article{dgd-a13-2016-schoenheit,
author = "Friesecke, G.",
title = "Die Schönheit der molekularen Architektur von Viren und ihre Entschlüsselung durch Beugungsmuster",
journal = "Mitt. Dtsch. Math.-Ver.",
volume = "24",
issue = "4",
pages = "208–213",
url = "https://www.degruyter.com/view/j/dmvm.2016.24.issue-4/dmvm-2016-0078/dmvm-2016-0078.xml",
year = "2016",
doi = "10.1515/dmvm-2016-0078"
}
@incollection{dgd-a01-2016-complex-analysis,
author = "Bobenko, A. I. and Günther, F.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
title = "Discrete complex analysis on planar quad-graphs",
year = "2016",
note = "Preprint at arxiv",
arxiv = "1505.05673"
}
@incollection{dgd-a01-2016-maps,
author = "Bobenko, A. I. and Sechelmann, S. and Springborn, B.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
title = "Discrete conformal maps: Boundary value problems, circle domains, Fuchsian and Schottky uniformization",
year = "2016",
note = "Preprint"
}
@incollection{dgd-a04-2016-reliable,
editor = "Anderssen, Robert S. and Broadbridge, Philip and Fukumoto, Yasuhide and Kajiwara, Kenji and Takagi, Tsuyoshi and Verbitskiy, Evgeny and Wakayama, Masato",
author = "Polthier, Konrad and Razafindrazaka, Faniry",
year = "2016",
isbn = "978-4-431-55341-0",
booktitle = "Applications + Practical Conceptualization + Mathematics = fruitful Innovation",
volume = "11",
series = "Mathematics for Industry",
doi = "10.1007/978-4-431-55342-7\_22",
title = "Discrete Geometry for Reliable Surface Quad-Remeshing",
publisher = "Springer Japan",
keywords = "Geometry processing; Simplicial surfaces; Surface parametrization; Branched covering; QuadCover algorithm; Hodge decomposition; Minimal surfaces",
pages = "261--275",
language = "English"
}
@incollection{dgd-c01-2016-Geometry,
author = "Pottmann, Helmut and Wallner, Johannes",
editor = {K{\"o}nig, Wolfgang},
title = "Geometry and freeform architecture",
year = "2016",
booktitle = "Mathematics and Society",
publisher = "EMS",
isbn = "978-3-03719-164-4",
doi = "10.4171/164",
pages = "131-151"
}
@incollection{dgd-a05-2016-holo,
author = "Lam, W. Y. and Pinkall, U.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
title = "Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes",
year = "2016",
arxiv = "1506.08099"
}
@article{dgd-a03-2016-hyperplane-mass,
author = "Blagojević, Pavle V. M. and Frick, Florian and Haase, Albert and Ziegler, Günter M.",
title = "Hyperplane mass partitions via relative equivariant obstruction theory",
journal = "Documenta Mathematica",
volume = "21",
pages = "735--771",
year = "2016",
arxiv = "1509.02959",
url = "http://emis.ams.org/journals/DMJDMV/vol-21/20.pdf"
}
@article{dgd-b11-2016-low,
author = "Conti, Sergio and Zwicknagl, Barbara",
title = "Low volume-fraction microstructures in martensites and crystal plasticity",
journal = "Math. Models Methods Appl. Sci.",
fjournal = "Mathematical Models and Methods in Applied Sciences",
volume = "26",
year = "2016",
number = "7",
pages = "1319--1355",
issn = "0218-2025",
doi = "10.1142/S0218202516500317"
}
@incollection{dgd-a01-2016-advances,
author = "Bornemann, F. and Its, A. and Olver, S. and Wechslberger, G.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
arxiv = "1507.06805",
publisher = "Springer",
title = "Numerical Methods for the Discrete Map $Z^a$",
year = "2016"
}
@article{dgd-a02-2015-11-confocal,
author = "Bobenko, Alexander I. and Schief, Wolfgang K. and Suris, Yuri B. and Techter, Jan",
title = "On a discretization of confocal quadrics. I. An integrable systems approach",
journal = "Journal of Integrable Systems",
year = "2016",
volume = "1",
number = "1",
pages = "xyw005",
doi = "10.1093/integr/xyw005",
arxiv = "1511.01777"
}
@incollection{dgd-b02-2016-hierarchies,
author = "Suris, Yu. B. and Vermeeren, M.",
editor = "Bobenko, A.I.",
title = "On the Lagrangian structure of integrable hierarchies",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
address = "Berlin-Heidelberg-New York",
year = "2016",
arxiv = "1510.03724"
}
@incollection{dgd-b07-2015-06-KP,
author = "Boll, R. and Petrera, M. and Suris, Yu. B..",
editor = "Bobenko, A.I.",
title = "On the variational interpretation of the discrete KP equation",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
address = "Berlin-Heidelberg-New York",
year = "2016",
arxiv = "1506.00729"
}
@article{dgd-a03-2014-05,
author = "Adiprasito, Karim and Sanyal, Raman",
title = "Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums",
journal = "Publ. Math. Inst. Hautes Études Sci.",
year = "2016",
volume = "124",
pages = "99–163",
arxiv = "1405.7368",
doi = "10.1007/s10240-016-0083-7"
}
@article{dgd-a11-2016-rigid,
author = "Joswig, Michael and Kileel, Joe and Sturmfels, Bernd and Wagner, André",
title = "Rigid multiview varieties",
journal = "International Journal of Algebra and Computation",
volume = "26",
number = "04",
pages = "775--788",
year = "2016",
publisher = "World Scientific",
doi = "10.1142/S021819671650034X",
arxiv = "1509.03257"
}
@incollection{dgd-a02-2016-s-conical,
author = "Bobenko, A. I. and Hoffmann, T.",
editor = "Bobenko, A. I.",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
title = "S-conical cmc surfaces. Towards a unified theory of discrete surfaces with constant mean curvature",
year = "2016",
note = "Preprint"
}
@inproceedings{dgd-b03-2015-10,
author = "Bornemann, Folkmar and Forrester, Peter J",
title = "Singular values and evenness symmetry in random matrix theory",
booktitle = "Forum Mathematicum",
volume = "28",
number = "5",
pages = "873--891",
year = "2016",
doi = "10.1515/forum-2015-0055",
arxiv = "1503.07383"
}
@incollection{dgd-a03-2016-six-topics,
author = "Padrol, Arnau and Ziegler, Günter M",
title = "Six topics on inscribable polytopes",
booktitle = "Advances in Discrete Differential Geometry",
pages = "407--419",
year = "2016",
publisher = "Springer",
arxiv = "1511.03458",
doi = "10.1007/978-3-662-50447-5\_13"
}
@article{dgd-a03-2016-Tverberg,
author = "Bárány, Imre and Blagojević, Pavle V. M. and Ziegler, Günter M.",
title = "Tverberg’s theorem at 50: extensions and counterexamples",
journal = "Notices of the AMS",
volume = "63",
number = "7",
pages = "732--739",
year = "2016",
doi = "10.1090/noti1415"
}
@unpublished{dgd-b07-2016-01-root,
author = "Boll, R.",
title = "Two-dimensional variational systems on the root lattice $Q(A\_N)$",
year = "2016",
arxiv = "1601.05296",
note = "preprint"
}
@incollection{dgd-C01-2014-vertex,
author = "Sun, Xian and Jiang, Caigui and Wallner, Johannes and Pottmann, Helmut",
editor = "Bobenko, A. I.",
title = "Vertex normals and face curvatures of triangle meshes",
preprint = "http://www.geometrie.tugraz.at/wallner/3curv.pdf",
booktitle = "Advances in Discrete Differential Geometry",
publisher = "Springer",
year = "2016",
note = "20 pp., accepted"
}
@article{dgd-a11-2016-weighted,
author = "Joswig, Michael and Loho, Georg",
title = "Weighted digraphs and tropical cones",
journal = "Linear Algebra and its Applications",
volume = "501",
pages = "304--343",
year = "2016",
publisher = "Elsevier",
doi = "10.1016/j.laa.2016.02.027",
arxiv = "1503.04707"
}
@unpublished{dgd-a03-2017-4-whitney,
author = "Adiprasito, Karim and Sanyal, Raman",
title = "Whitney numbers of arrangements via measure concentration of intrinsic volumes",
note = "Preprint",
year = "2016",
arxiv = "1606.09412"
}
@article{dgd-a03-2016-was-ist,
author = "Loos, Andreas and Ziegler, Günter M",
title = {„Was ist Mathematik" lernen und lehren},
journal = "Mathematische Semesterberichte",
volume = "63",
number = "1",
pages = "155--169",
year = "2016",
publisher = "Springer",
doi = "10.1007/s00591-016-0167-y"
}
@article{dgd-b09-2015-11-Optimal,
author = "Mennemann, J-F and Matthes, D and Weishäupl, R-M and Langen, T",
journal = "New Journal of Physics",
number = "11",
pages = "113027",
title = "Optimal control of Bose-Einstein condensates in three dimensions",
url = "http://stacks.iop.org/1367-2630/17/i=11/a=113027",
volume = "17",
year = "2015",
month = "November"
}
@unpublished{dgd-a10-2015-generation,
author = "Kranich, Stefan",
title = "Generation of real algebraic loci via complex detours",
note = "preprint",
year = "2015",
month = "October",
arxiv = "1510.05464"
}
@article{dgd-c04-2015-09-homological,
author = "Attali, Dominique and Bauer, Ulrich and Devillers, Olivier and Glisse, Marc and Lieutier, André",
citeulike-article-id = "13644801",
citeulike-linkout-0 = "http://dx.doi.org/10.1016/j.comgeo.2014.08.010",
doi = "10.1016/j.comgeo.2014.08.010",
issn = "09257721",
journal = "Computational Geometry",
month = "September",
number = "8",
pages = "606--621",
posted-at = "2015-06-12 23:10:34",
priority = "2",
title = "Homological reconstruction and simplification in $\mathbb R^3$",
volume = "48",
year = "2015"
}
@unpublished{dgd-a03-2015-09-hyperplane,
author = "Blagojevic, Pavle V. M. and Frick, Florian and Haase, Albert and Ziegler, Günter M.",
title = "Hyperplane mass partitions via relative Equivariant Obstruction Theory",
year = "2015",
month = "September",
note = "preprint",
arxiv = "1509.02959"
}
@unpublished{dgd-a03-2015-08-realizibality,
author = "Firsching, Moritz",
acknowledge = "MDS",
note = "Preprint",
year = "2015",
month = "August",
title = "Realizability and inscribability for some simplicial spheres and matroid polytopes",
arxiv = "1508.02531"
}
@unpublished{dgd-a03-2015-08-scribability,
author = "Chen, Hao and Padrol, Arnau",
note = "Preprint",
year = "2015",
month = "August",
title = "Scribability Problems for Polytopes",
arxiv = "1508.03537"
}
@unpublished{dgd-a10-2015-shearlet-approximation,
author = "Petersen, Philipp",
title = "Shearlet approximation of functions with discontinuous derivatives",
note = "preprint",
month = "August",
arxiv = "1508.00409",
year = "2015"
}
@unpublished{dgd-b01-2015-07,
author = "Kranich, Stefan",
title = "GPU-based visualization of domain-coloured algebraic Riemann surfaces",
arxiv = "1507.04571",
note = "preprint",
year = "2015",
month = "July"
}
@article{dgd-c01-2015-07-stripe,
author = "Knöppel, F. and Crane, K. and Pinkall, U. and Schröder, P.",
title = "Stripe patterns on surfaces",
journal = "ACM Trans. Graph., 34(4):39:1--39:11",
year = "2015",
month = "July"
}
@article{dgd-b03-2015-06,
author = "Bornemann, Folkmar and Croix, Michael La",
title = "The Singular Values of the GOE",
journal = "Random Matrices: Theory Appl. 04, 1550009 (2015) (32 pages)",
year = "2015",
month = "June",
doi = "10.1142/S2010326315500094",
arxiv = "1502.05946"
}
@unpublished{dgd-b01-2015-05,
author = "Kranich, Stefan",
title = "An epsilon-delta bound for plane algebraic curves and its use for certified homotopy continuation of systems of plane algebraic curves",
arxiv = "1505.03432",
note = "preprint",
year = "2015",
month = "May"
}
@article{dgd-a03-2014-02-universality,
author = "Adiprasito, Karim and Padrol, Arnau",
journal = "Combinatorica",
note = "accepted, preprint at arxiv",
title = "The universality theorem for neighborly polytopes",
year = "2015",
month = "February",
arxiv = "1402.7207"
}
@article{dgd-b09-2015-convergent,
author = "Matthes, Daniel and Osberger, Horst",
title = "A convergent Lagrangian discretization for a nonlinear fourth order equation",
journal = "Found. Comput. Math.",
year = "2015",
note = "online first",
arxiv = "1410.1728"
}
@unpublished{dgd-b04-2015-Basel,
author = "Vermeeren, M.",
title = "A dynamical solution to the Basel problem",
note = "preprint",
year = "2015",
arxiv = "1506.05288"
}
@Article{dgd-c01-2015-laplace,
author = "Carl, Wolfgang",
year = "2015",
issn = "1615-3375",
journal = "Foundations of Computational Mathematics",
doi = "10.1007/s10208-015-9271-y",
title = "A Laplace Operator on Semi-Discrete Surfaces",
publisher = "Springer US",
keywords = "Laplace operator; Semi-discrete surfaces; Quadrilateral meshes; Consistency; Primary 53B20; Secondary 53A05; 41A25",
pages = "1-36",
language = "English"
}
@unpublished{dgd-b06-2015-density,
author = "J. Keller, C. Lasser and Ohsawa, T.",
title = "A new phase space density for quantum expectations",
year = "2015",
arxiv = "1506.08880",
note = "24pp"
}
@article{dgd-b03-2015-01,
author = "Dingfelder, Benedict and Weideman, J.A.C.",
year = "2015",
issn = "1017-1398",
journal = "Numerical Algorithms",
volume = "68",
number = "1",
doi = "10.1007/s11075-014-9895-z",
title = "An improved Talbot method for numerical Laplace transform inversion",
publisher = "Springer US",
keywords = "Inverse Laplace transform; Talbot’s method; Trapezoidal rule; Midpoint rule; 65R10; 65Z05",
pages = "167-183",
language = "English",
arxiv = "1304.2505"
}
@unpublished{dgd-b06-2015-invariant,
author = "H. Dietert, J. Keller and Troppmann, S.",
title = "An invariant class of Hermite type multivariate polynomials for the Wigner transform",
arxiv = "1505.06192",
year = "2015",
note = "22pp"
}
@unpublished{dgd-a10-2015-anisotropic,
author = "Grohs, P. and Kutyniok, G. and Ma, J. and Petersen, P.",
title = "Anisotropic multiscale systems on bounded domains",
note = "preprint",
year = "2015",
arxiv = "1510.04538"
}
@article{dgd-c04-2015-volume,
author = "Edelsbrunner, Herbert and Pausinger, Florian",
journal = "Advances in Mathematics",
note = "accepted",
title = "Approximation and convergence of the intrinsic volume",
year = "2015",
preprint = "http://pub.ist.ac.at/\textasciitilde edels/Papers/2014-J-06-FirstIntVolume.pdf"
}
@article{dgd-a09-2015-architectural,
author = "Pottmann, Helmut and Eigensatz, Michael and Vaxman, Amir and Wallner, Johannes",
title = "Architectural Geometry",
journal = "Computers and Graphics",
year = "2015",
volume = "47",
pages = "145-164",
url = "http://www.geometrie.tugraz.at/wallner/survey.pdf",
doi = "10.1016/j.cag.2014.11.002"
}
@article{dgd-c01-2015-cayley,
author = "Qingchun Ren, Jürgen Richter-Gebert and Sturmfels, Bernd",
title = "Cayley-Bacharach Formulas",
journal = "The American Mathematical Monthly, 122(9):845--854",
year = "2015",
abstract = "The Cayley-Bacharach Theorem states that all cubic curves through eight given points in the plane also pass through a unique ninth point. We write that point as an explicit rational function in the other eight.",
arxiv = "1405.6438"
}
@article{dgd-a10-2015-08-classification,
author = "Kutyniok, Gitta and Petersen, Philipp",
title = "Classification of edges using compactly supported shearlets",
journal = "Applied and Computational Harmonic Analysis",
year = "2015",
doi = "10.1016/j.acha.2015.08.006",
arxiv = "1411.5657"
}
@article{dgd-c07-2015-close,
author = "Chern, A. and Pinkall, U. and Schröder, P.",
title = "Close-to-conformal deformations of volumes",
journal = "ACM Transactions on Graphics",
volume = "34",
number = "4",
pages = "56",
year = "2015",
publisher = "ACM"
}
@unpublished{dgd-a03-2016-02-hadwiger,
author = "Jochemko, Katharina and Sanyal, Raman",
title = "Combinatorial positivity of translation-invariant valuations and a discrete Hadwiger theorem",
year = "2015",
journal = "J. Eur. Math. Soc. (JEMS)",
note = "accepted for publication, preprint on arxiv",
arxiv = "1505.07440"
}
@article{dgd-c01-2015-moebius,
author = "Vaxman, Amir and Müller, Christian and Weber, Ofir",
title = "Conformal mesh deformations with Möbius transformations",
journal = "ACM Trans. Graphics",
volume = "34",
xxnumber = "4",
pages = "$\\#$ 55, 1--11",
year = "2015",
note = "Proc. SIGGRAPH"
}
@article{dgd-c01-2015-conformal-mesh,
author = "Vaxman, Amir and Müller, Christian and Weber, Ofir",
title = "Conformal mesh deformations with Möbius transformations",
journal = "ACM Transactions on Graphics (TOG)",
volume = "34",
number = "4",
pages = "55",
year = "2015",
publisher = "ACM",
url = "http://www.geometrie.tuwien.ac.at/geom/ig/publications/2015/conformal2015/conformal2015.pdf"
}
@article{dgd-b09-2015-convergence,
author = "Osberger, Horst and Matthes, Daniel",
title = "Convergence of a Fully Discrete Variational Scheme for a Thin Film Equation",
journal = "Radon Series on Computational and Applied Mathematics",
year = "2015",
arxiv = "1509.01513",
note = "accepted"
}
@article{dgd-b04-2015-Dirac,
author = "Jiménez, Fernando and Yoshimura, Hiroaki",
title = "Dirac Structures in Vakonomic Mechanics",
journal = "J. Geom. Phys.",
note = "accepted",
year = "2015",
arxiv = "1405.5394"
}
@Article{dgd-a11-2015-ideal,
author = "Bobenko, A. I. and Pinkall, U. and Springborn, B.",
title = "Discrete conformal maps and ideal hyperbolic polyhedra",
journal = "Geom. Topol.",
year = "2015",
volume = "19",
issue = "4",
pages = "2155-2215",
doi = "10.2140/gt.2015.19.2155",
arxiv = "1005.2698"
}
@article{dgd-b02-2014-10,
author = "Bobenko, A. I. and Schief, W.",
title = "Discrete line complexes and integrable evolution of minors",
journal = "Proc. Royal Soc. A",
year = "2015",
volume = "471",
number = "2175",
pages = "23 pp.",
doi = "10.1098/rspa.2014.0819",
arxiv = "1410.5794"
}
@article{dgd-b02-2014-03,
author = "Bobenko, A. I. and Suris, Yu. B.",
title = "Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems",
journal = "Commun. Math. Phys.",
year = "2015",
volume = "336",
number = "1",
pages = "199--215",
arxiv = "1403.2876"
}
@unpublished{dgd-a01-2015-11-uniformization,
author = "Bobenko, A. I. and Dimitrov, N. and Sechelmann, S.",
title = "Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns",
year = "2015",
note = "preprint",
arxiv = "1510.04053"
}
@article{dgd-b08-2015-domain,
author = "Alicandro, Roberto and Cicalese, Marco and Ruf, Matthias",
title = "Domain formation in magnetic polymer composites: an approach via stochastic homogenization",
journal = "Archive for Rational Mechanics and Analysis",
volume = "218",
number = "2",
pages = "945--984",
doi = "10.1007/s00205-015-0873-y",
year = "2015",
publisher = "Springer"
}
@article{dgd-a03-2014-02,
author = "Ceballos, Cesar and Padrol, Arnau and Sarmiento, Camilo",
title = "Dyck path triangulations and extendability",
journal = "Journal of Combinatorial Theory, Series A",
year = "2015",
volume = "131",
number = "0",
pages = "187-208",
arxiv = "1402.5111",
url = "http://www.sciencedirect.com/science/article/pii/S009731651400140X"
}
@article{dgd-a03-2014-08,
author = "Miyata, Hiroyuki and Padrol, Arnau",
journal = "Experimental Math.",
year = "2015",
arxiv = "1408.0688",
doi = "10.1080/10586458.2015.1015084",
title = "Enumeration of neighborly polytopes and oriented matroids",
volume = "24",
pages = "489-505"
}
@article{dgd-B09-2015-chemotaxis,
author = "Zinsl, Jonathan and Matthes, Daniel",
title = "Exponential Convergence to Equilibrium in a Coupled Gradient Flow System Modelling Chemotaxis",
journal = "Analysis \& PDE",
volume = "8",
number = "2",
pages = "425-466",
arxiv = "1310.3977",
year = "2015"
}
@article{dgd-b08-2015-Frustrated,
author = "Cicalese, M. and Solombrino, F.",
title = "Frustrated ferromagnetic spin chains: a variational approach to chirality transitions",
journal = "Journal of Nonlinear Science, 25(291-313)",
year = "2015"
}
@article{dgd-b04-2015-Hamilton,
author = "Jiménez, F.",
title = "Hamilton-Dirac systems for charged particles in gauge fields",
journal = "J. Geom. Phys., 94:35-49",
year = "2015",
arxiv = "1410.3249"
}
@article{dgd-a01-2015-Hyper,
author = "Dimitrov, N.",
doi = "10.1007/s00025-015-0453-3",
issn = "1422-6383",
journal = "Results in Mathematics",
keywords = "52C26; 52A55; 57M50; 52C25; Hyper-ideal circle pattern; cell complex; hyper-ideal tetrahedron; hyperbolic volume; variational principle",
language = "English",
pages = "1-45",
publisher = "Springer Basel",
title = "Hyper-ideal Circle Patterns with Cone Singularities",
year = "2015",
arxiv = "1406.6741"
}
@ARTICLE{dgd-a12-2015-ideal,
author = "Evans, Myfanwy E. and Robins, Vanessa and Hyde, Stephen",
doi = "10.1098/rspa.2015.0254",
title = "Ideal geometry of periodic entanglements",
volume = "471",
number = "2181",
year = "2015",
journal = "P. R. Soc. A",
pages = "2015.0254"
}
@article{dgd-c04-2015,
author = "Bauer, Ulrich and Lesnick, Michael",
citeulike-article-id = "13591814",
citeulike-linkout-0 = "http://jocg.org/index.php/jocg/article/view/205",
journal = "Journal of Computational Geometry",
number = "2",
pages = "162--191",
posted-at = "2015-04-25 20:42:42",
priority = "2",
title = "Induced matchings and the algebraic stability of persistence barcodes",
url = "http://jocg.org/index.php/jocg/article/view/205",
volume = "6",
year = "2015"
}
@article{dgd-c01-2015-interactive,
author = "Tang, Chengcheng and Bo, Pengbo and Wallner, Johannes and Pottmann, Helmut",
title = "Interactive design of developable surfaces",
journal = "ACM Trans. Graphics",
note = "accepted",
year = "2015",
preprint = "http://www.geometrie.tugraz.at/wallner/abw.pdf"
}
@unpublished{dgd-a05-2015-01,
author = "Lam, Wai Yeung and Pinkall, Ulrich",
title = "Isothermic Triangulated Surfaces",
year = "2015",
month = "January",
arxiv = "1501.02587",
note = "preprint"
}
@article{dgd-a10-2014-04,
author = "Ma, Jackie and Petersen, Philipp",
doi = "10.1016/j.jmaa.2015.03.001",
journal = "Journal of Mathematical Analysis and Applications",
pages = "238-257",
title = "Linear independence of compactly supported separable shearlet systems",
volume = "428",
year = "2015",
arxiv = "1404.1690"
}
@unpublished{dgd-b09-2015-fourth-order,
author = "Osberger, Horst",
title = "Long-Time Behaviour of a Fully Discrete Lagrangian Scheme for a Family of Fourth Order",
note = "Submitted",
arxiv = "1501.04800",
year = "2015"
}
@article{dgd-a03-2014-04-polytopes,
author = "Karim Adiprasito, Günter M. Ziegler",
title = "Many projectively unique polytopes",
journal = "Inventiones math.",
year = "2015",
volume = "199",
pages = "581-652",
arxiv = "1212.5812",
doi = "10.1007/s00222-014-0519-y"
}
@article{dgd-b04-2015-MM,
author = "Scheurle, Jürgen and Walcher, Sebastian",
title = "Minima of invariant functions: The inverse problem",
journal = "Acta Applicandae Mathematicae, 137(1):233-252",
doi = "10.1007/s10440-014-9997-6",
note = "accepted for publication by Acta Applicandae Mathematicae",
year = "2015"
}
@article{dgd-a11-2015-moduli,
author = "Brodsky, Sarah and Joswig, Michael and Morrison, Ralph and Sturmfels, Bernd",
title = "Moduli of tropical plane curves",
journal = "Research in the Mathematical Sciences",
volume = "2",
number = "1",
pages = "4",
year = "2015",
publisher = "Springer",
doi = "10.1186/s40687-014-0018-1"
}
@article{dgd-b10-2015-multiscale,
author = "Kuehn, C. and Szmolyan, P.",
title = "Multiscale geometry of the Olsen model and non-classical relaxation oscillations",
journal = "J. Nonlinear Sci.",
volume = "25",
number = "3",
pages = "583--629",
year = "2015",
doi = "10.1007/s00332-015-9235-z"
}
@article{dgd-b04-2015-New,
author = "Ferraro, Sebastián and Jiménez, Fernando and de Diego, David Martín",
title = "New developments on the Geometric Nonholonomic Integrator",
journal = "Nonlinearity, 28:871-900",
year = "2015",
arxiv = "1312.1587"
}
@unpublished{dgd-b06-2015-Hermitian,
author = "C. Lasser, R. Schubert and Troppmann, S.",
title = "Non-Hermitian propagation of Hagedorn wavepackets",
arxiv = "1507.02858",
year = "2015",
note = "33pp"
}
@article{dgd-b02-2015-octa,
author = "Boll, R. and Petrera, M. and Suris, Yu. B.",
title = "On integrability of discrete variational systems: Octahedron relations",
journal = "Internat. Math. Res. Notes",
year = "2015",
volume = "2015",
pages = "rnv140, 24 pp.",
arxiv = "1406.0741"
}
@article{dgd-b04-2015-Nonholomonic,
author = "Jimenez, Fernando and Scheurle, Juergen",
title = "On the discretization of nonholonomic dynamics in $\mathbb{R}^n$",
journal = "J. Geom. Mechanics, 7(1):43-80",
year = "2015",
arxiv = "1407.2116"
}
@unpublished{dgd-b04-2015-Euler,
author = "Jiménez, F. and Scheurle, J.",
title = "On the discretization of the Euler-Poincaré-Suslov equations in $SO(3)$",
note = "preprint",
arxiv = "1506.01289",
year = "2015"
}
@article{a04-RRP2015,
author = "Razafindrazaka, Faniry H. and Reitebuch, Ulrich and Polthier, Konrad",
title = "Perfect Matching Quad Layouts for Manifold Meshes",
journal = "Computer Graphics Forum (proceedings of EUROGRAPHICS Symposium on Geometry Processing)",
volume = "34",
number = "5",
year = "2015",
url = "http://www.mi.fu-berlin.de/en/math/groups/ag-geom/publications/db/2015\_RRP\_PerfectMatchingQuadLayoutsForManifoldMeshes\_New.pdf"
}
@article{dgd-c01-2015-patterns,
author = "Jiang, Caigui and Tang, Chengcheng and Vaxman, Amir and Wonka, Peter and Pottmann, Helmut",
title = "Polyhedral Patterns",
journal = "ACM Trans. Graphics",
note = "Proc. SIGGRAPH Asia",
year = "2015",
volume = "34"
}
@incollection{dgd-a04-2015-realization,
author = "Razafindrazaka, Faniry and Polthier, Konrad",
editor = "Janine Bennet, Fabien Vivodtzev, Valerio Pascucci",
title = "Realization of Regular Maps Large Genus",
pages = "239--252",
booktitle = "Topological and Statistical Methods for Complex Data",
year = "2015",
isbn = "978-3-662-44900-4",
doi = "10.1007/978-3-662-44900-4\_14",
publisher = "Springer Berlin Heidelberg",
url = "http://page.mi.fu-berlin.de/faniry/files/faniryTSCD2015.pdf"
}
@unpublished{A02-BHKS,
author = "Bobenko, A. I. and Hoffmann, T. and König, B. and Sechelmann, S.",
note = "Preprint",
title = "S-conical minimal surfaces. Towards a unified theory of discrete minimal surfaces.",
year = "2015"
}
@Article{dgd-c01-2015-cmc,
author = "Müller, Christian",
title = "Semi-Discrete Constant Mean Curvature Surfaces",
journal = "Math. Z.",
year = "2015",
pages = "459-478",
volume = "279",
doi = "10.1007/s00209-014-1377-4",
preprint = "http://www.geometrie.tuwien.ac.at/cmueller/sdcmc.pdf"
}
@article{dgd-c01-2015-semi-discrete,
author = "Müller, Christian",
title = "Semi-discrete constant mean curvature surfaces",
journal = "Mathematische Zeitschrift",
volume = "279",
number = "1-2",
pages = "459--478",
year = "2015",
publisher = "Springer",
doi = "10.1007/s00209-014-1377-4",
url = "http://www.geometrie.tuwien.ac.at/geom/ig/publications/2015/sdcmc2015/sdcmc.pdf"
}
@article{dgd-a07-2015-smoothing,
author = "Benedetti, B.",
title = "Smoothing discrete Morse theory",
year = "2015",
journal = "Annali Sc. Norm. Sup. Cl. Sci.",
note = "accepted, preprint at arxiv",
arxiv = "1212.0885"
}
@article{dgd-a07-2012-02,
author = "Adiprasito, K. and Benedetti, B.",
title = "Subdivisions, shellability, and collapsibility of products",
year = "2015",
note = "accepted, preprint at arxiv",
journal = "Combinatorica",
arxiv = "1202.6606"
}
@article{dgd-a01-2014-09-asymptotic,
author = "Bobenko, A. I. and Its, A.",
arxiv = "1409.2667",
journal = "Duke Math.\textasciitilde J.",
note = "accepted",
title = "The asymptotic behaviour of the discrete holomorphic map $Z^a$ via the Riemann-Hilbert method",
year = "2015"
}
@article{dgd-a03-2013-08,
author = "Nill, Benjamin and Padrol, Arnau",
journal = "European Journal of Combinatorics (special issue in honour of Michel Las Vergnas)",
pages = "159–179",
volume = "50",
year = "2015",
arxiv = "1209.5712",
title = "The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes"
}
@Article{dgd-a07-2015-tight,
author = "Adiprasito, K. and Benedetti, B.",
title = "Tight complexes in $3$-space admit perfect discrete Morse functions",
journal = "Eur. J. Comb.",
year = "2015",
volume = "45",
pages = "71--84",
arxiv = "1202.3390"
}
@article{dgd-c01-2015-Touch,
author = "Richter-Gebert, Jürgen",
title = "Touch und Tablet: Stationen einer Designstudie",
journal = "Heintz, G., Pinkernell, G., Schacht, F. (Hrsg.): Digitale Werkzeuge für den Mathematikunterricht. Festschrift für Hans-Jürgen Elschenbroich",
year = "2015",
url = "http://science-to-touch.com/articles"
}
@article{dgd-b09-2015-transport,
author = "Zinsl, Jonathan and Matthes, Daniel",
title = "Transport Distances and Geodesic Convexity for Systems of Degenerate Diffusion Equations",
journal = "Calculus of Variations and Partial Differential Equations",
arxiv = "1409.6520",
year = "2015",
note = "accepted"
}
@article{dgd-a11-2015-tropicalizing,
author = "Allamigeon, Xavier and Benchimol, Pascal and Gaubert, Stéphane and Joswig, Michael",
title = "Tropicalizing the simplex algorithm",
journal = "SIAM Journal on Discrete Mathematics",
volume = "29",
number = "2",
pages = "751--795",
year = "2015",
publisher = "SIAM",
doi = "10.1137/130936464",
arxiv = "1308.0454"
}
@unpublished{dgd-b09-2015-Twisted,
author = "G. Friesecke, R. D. James and Jüstel, D.",
title = "Twisted x-rays: incoming waveforms yielding discrete diffraction patterns for helical structures",
arxiv = "1506.04240",
year = "2015",
note = ""
}
@article{A03-AdiprasitoPadrolTheran,
author = "Adiprasito, Karim and Padrol, Arnau and Theran, Louis",
journal = "Discrete Comput. Geom.",
pages = "412-431",
title = "Universality theorems for inscribed polytopes and Delaunay triangulations",
volume = "54",
year = "2015",
arxiv = "1406.7831"
}
@incollection{dgd-b07-2013-07-variational,
author = "Suris, Yu. B.",
editor = "Hagen, Th. and Rupp, F. and Scheurle, J.",
title = "Variational symmetries and pluri-Lagrangian systems",
booktitle = "Dynamical Systems, Number Theory and Applications: A Festschrift in Honor of Professor Armin Leutbecher's 80th Birthday",
publisher = "World Scientific",
address = "Singapore",
year = "2015",
arxiv = "1307.2639"
}
@article{dgd-a01-2014-08,
author = "Bobenko, Alexander and Skopenkov, Mikhail",
title = "Discrete Riemann surfaces: linear discretization and its convergence",
journal = "J. reine und angew. Math.",
year = "2014",
month = "October",
doi = "10.1515/crelle-2014-0065",
arxiv = "1210.0561"
}
@inproceedings{dgd-a08-2014-09,
author = "Rörig, Thilo and Sechelmann, Stefan and Kycia, Agata and Fleischmann, Moritz",
editor = "Block, Philippe and Knippers, Jan and Mitra, Niloy and Wang, Wenping",
title = "Surface panelization using periodic conformal maps",
booktitle = "Advances in Architectural Geometry 2014",
year = "2014",
month = "September",
publisher = "Springer",
note = "Best Paper Award"
}
@article{dgd-b06-2014-08,
author = "Keller, Johannes and Lasser, Caroline",
title = "Quasi-classical description of molecular dynamics based on Egorov's theorem",
journal = "The Journal of Chemical Physics",
year = "2014",
month = "August",
volume = "141",
number = "5",
eid = "054104",
doi = "10.1063/1.4891517",
arxiv = "1405.7355"
}
@unpublished{dgd-a10-2014-06,
author = "Grohs, Philipp and Keiper, Sandra and Kutyniok, Gitta and Schäfer, Martin",
title = "$\alpha$-Molecules",
note = "preprint",
year = "2014",
month = "July",
arxiv = "1407.4424"
}
@unpublished{dgd-b04-2014-07,
author = "Delshams, A. and Gonchenko, M. and Gutiérrez, P.",
title = "A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies",
year = "2014",
month = "July",
arxiv = "1407.6524",
note = "To appear in Research Perspectives CRM Barcelona"
}
@article{dgd-xxx-2014-07,
author = "Borcea, Ciprian S. and Streinu, Ileana",
title = "Kinematics of Expansive Planar Periodic Mechanisms",
journal = "Advances in Robot Kinematics (ARK'14)",
year = "2014",
month = "July",
note = "preprint"
}
@unpublished{dgd-b04-2014-07-b,
author = "Delshams, A. and Gonchenko, M. and Gonchenko, S.",
title = "On dynamics and bifurcations of area-preserving maps with homoclinic tangencies",
year = "2014",
month = "July",
note = "Submitted to Nonlinearity",
arxiv = "1407.5473"
}
@unpublished{dgd-a10-2014-regularization,
author = "Kutyniok, Gitta and Mehrmann, Volker and Petersen, Philipp",
title = "Regularization and Numerical Solution of the Inverse Scattering Problem using Shearlet Frames",
year = "2014",
month = "July",
arxiv = "1407.7349",
note = "preprint"
}
@article{dgd-a05-2014-07,
author = "Weißmann, Steffen and Pinkall, Ulrich and Schröder, Peter",
title = "Smoke Rings from Smoke",
journal = "ACM Trans. Graph.",
issue_date = "July 2014",
volume = "33",
number = "4",
month = "July",
year = "2014",
issn = "0730-0301",
pages = "140:1--140:8",
articleno = "140",
numpages = "8",
doi = "10.1145/2601097.2601171",
acmid = "2601171",
publisher = "ACM",
address = "New York, NY, USA",
keywords = "DEC, Schrödinger operator, fluid simulation, hairpin removal, hybrid methods, vortex filaments, vortex reconnection",
preprint = "http://page.math.tu-berlin.de/\textasciitilde pinkall/smoke-rings-from-smoke.pdf"
}
@article{dgd-b06-2014-06,
author = "Belyaev, Andrey K. and Lasser, Caroline and Trigila, Giulio",
title = "Landau–Zener type surface hopping algorithms",
journal = "The Journal of Chemical Physics",
year = "2014",
month = "June",
volume = "140",
number = "22",
eid = "224108",
pages = "-",
doi = "10.1063/1.4882073",
arxiv = "1403.4859"
}
@article{dgd-xxx-2014-06,
author = "Borcea, Ciprian S. and Streinu, Ileana",
title = "Liftings and stresses for planar periodic frameworks",
journal = "in Proc. 30th Symposium on Computational Geometry (SoCG'14)",
year = "2014",
month = "June",
note = "preprint"
}
@article{dgd-b06-2014-05,
author = "Lasser, Caroline and Troppmann, Stephanie",
year = "2014",
month = "May",
issn = "1069-5869",
journal = "Journal of Fourier Analysis and Applications",
volume = "20",
number = "4",
doi = "10.1007/s00041-014-9330-9",
title = "Hagedorn Wavepackets in Time-Frequency and Phase Space",
publisher = "Springer US",
keywords = "Hermite functions; Hagedorn wavepackets; Wigner transform; FBI transform; Husismi transform; Ladder operators; 42C05; 42A38; 65R10",
pages = "679-714",
language = "English",
arxiv = "1303.5192"
}
@article{dgd-b10-2014-normal,
author = "Kuehn, Christian",
doi = "10.1088/0951-7715/27/6/1351",
url = "https://doi.org/10.1088\%2F0951-7715\%2F27\%2F6\%2F1351",
year = "2014",
month = "may",
publisher = "{IOP} Publishing",
volume = "27",
number = "6",
pages = "1351-1366",
title = "Normal hyperbolicity and unbounded critical manifolds",
journal = "Nonlinearity",
abstract = "This work is motivated by mathematical questions arising in differential equation models for autocatalytic reactions. We extend the local theory of singularities in fast–slow polynomial vector fields to classes of unbounded manifolds which lose normal hyperbolicity due to an alignment of the tangent and normal bundles. A projective transformation is used to localize the unbounded problem. Then the blow-up method is employed to characterize the loss of normal hyperbolicity for the transformed slow manifolds. Our analysis yields a rigorous scaling law for all unbounded manifolds which exhibit a power-law decay for the alignment with a fast subsystem domain. Furthermore, the proof also provides a technical extension of the blow-up method itself by augmenting the analysis with an optimality criterion for the blow-up exponents."
}
@unpublished{dgd-a03-2014-04-polygons,
author = "Padrol, Arnau and Pfeifle, Julian",
month = "April",
note = "Preprint",
year = "2014",
arxiv = "1404.2443",
title = "Polygons as slices of higher-dimensional polytopes"
}
@article{dgd-a04-2014-differential,
author = "Krauth, Niklas and Nieser, Matthias and Polthier, Konrad",
title = "Differential-Based Geometry and Texture Editing with Brushes",
journal = "J. Math. Imaging Vis.",
issue_date = "February 2014",
volume = "48",
number = "2",
month = "February",
year = "2014",
issn = "0924-9907",
pages = "359--368",
numpages = "10",
doi = "10.1007/s10851-013-0443-6",
acmid = "2582777",
publisher = "Kluwer Academic Publishers",
address = "Norwell, MA, USA",
keywords = "Deformation, Geometry brush, Interactive modeling, Texture editing"
}
@article{dgd-a08-2014-02,
author = "Huhnen-Venedey, Emanuel and Rörig, Thilo",
year = "2014",
month = "February",
issn = "0046-5755",
journal = "Geometriae Dedicata",
volume = "168",
number = "1",
doi = "10.1007/s10711-013-9830-9",
title = "Discretization of asymptotic line parametrizations using hyperboloid surface patches",
publisher = "Springer Netherlands",
keywords = "Discrete differential geometry; Discrete asymptotic line parametrization; A-nets; Hyperboloids; Projective geometry; Plücker line geometry; 51M30; 53A05; 65D17",
pages = "265-289",
language = "English",
arxiv = "1112.3508"
}
@article{dgd-b02-2014-02,
author = "Bikbaev, R.F. and Bobenko, A.I. and Its, A.R.",
year = "2014",
month = "February",
issn = "0040-5779",
journal = "Theoretical and Mathematical Physics",
volume = "178",
number = "2",
doi = "10.1007/s11232-014-0135-4",
title = "Landau-Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions",
publisher = "Pleiades Publishing",
keywords = "multisoliton solution; ferromagnetism; finite-gap integration; theta function",
pages = "143-193",
language = "English"
}
@article{dgd-b07-2014-02-integrability,
author = "Boll, Raphael and Petrera, Matteo and Suris, Yuri B.",
title = "What is integrability of discrete variational systems?",
volume = "470",
number = "2162",
year = "2014",
month = "February",
doi = "10.1098/rspa.2013.0550",
abstract = "We propose a notion of a pluri-Lagrangian problem, which should be understood as an analogue of multi-dimensional consistency for variational systems. This is a development along the line of research of discrete integrable Lagrangian systems initiated in 2009 by Lobb and Nijhoff, however, having its more remote roots in the theory of pluriharmonic functions, in the Z-invariant models of statistical mechanics and their quasiclassical limit, as well as in the theory of variational symmetries going back to Noether. A d-dimensional pluri-Lagrangian problem can be described as follows: given a d-form on an m-dimensional space (called multi-time, m>d), whose coefficients depend on a sought-after function x of m independent variables (called field), find those fields x which deliver critical points to the action functionals for any d-dimensional manifold Σ in the multi-time. We derive the main building blocks of the multi-time Euler–Lagrange equations for a discrete pluri-Lagrangian problem with d=2, the so-called corner equations, and discuss the notion of consistency of the system of corner equations. We analyse the system of corner equations for a special class of three-point two-forms, corresponding to integrable quad-equations of the ABS list. This allows us to close a conceptual gap of the work by Lobb and Nijhoff by showing that the corresponding two-forms are closed not only on solutions of (non-variational) quad-equations, but also on general solutions of the corresponding corner equations. We also find an example of a pluri-Lagrangian system not coming from a multi-dimensionally consistent system of quad-equations.",
url = "http://rspa.royalsocietypublishing.org/content/470/2162/20130550.abstract",
journal = "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science",
arxiv = "1307.0523"
}
@article{dgd-a08-2014-affine,
author = "Käferböck, Florian",
title = "Affine arc length polylines and curvature continuous uniform B-splines",
journal = "Computer-Aided Geom. Design",
volume = "31",
year = "2014",
preprint = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2014/affarclen/affine-arc-length-2014-kaeferboeck.pdf"
}
@unpublished{dgd-b09-2014-01,
author = "Francesco, Marco Di and Fornasier, Massimo and Hütter, Jan-Christian and Matthes, Daniel",
title = "Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension",
note = "accepted at SIAM-MA",
year = "2014",
month = "January",
arxiv = "1401.2338"
}
@article{dgd-b03-2014-constructive,
author = "Wechslberger, G. and Bornemann, F.",
doi = "10.1007/s00365-013-9199-x",
fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions",
issn = "0176-4276",
journal = "Constr. Approx.",
reviewer = "Nader El-Khatib",
number = "1",
pages = "151--171",
title = "Automatic deformation of Riemann-Hilbert problems with applications to the Painlevé II transcendents",
volume = "39",
year = "2014"
}
@article{dgd-a08-2014-cell,
author = "Pottmann, Helmut and Jiang, Caigui and Höbinger, Mathias and Wang, Jun and Bompas, Philippe and Wallner, Johannes",
title = "Cell packing structures",
journal = "Computer-Aided Design",
year = "2014",
preprint = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2014/cps/cps.pdf",
doi = "10.1016/j.cad.2014.02.009",
note = "to appear. Special issue on Material Ecology"
}
@inproceedings{dgd-a04-2014-complex,
author = "Konstantin Poelke, Zoi Tokoutsi and Polthier, Konrad",
editor = "Gary Greenfield, George Hart and Sarhangi, Reza",
title = "Complex Polynomial Mandalas and their Symmetries",
pages = "433--436",
booktitle = "Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture",
year = "2014",
isbn = "978-1-938664-11-3",
issn = "1099-6702",
publisher = "Tessellations Publishing",
address = "Phoenix, Arizona",
url = "http://archive.bridgesmathart.org/2014/bridges2014-433.html"
}
@article{dgd-b04-2014-09,
author = "Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere",
title = "Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio",
journal = "Regul. Chaotic Dyn.",
fjournal = "Regular and Chaotic Dynamics. International Scientific Journal",
volume = "19",
year = "2014",
number = "6",
pages = "663--680",
issn = "1560-3547",
mrclass = "37J40 (70H08)",
mrnumber = "3284607",
mrreviewer = "Gabriella Pinzari",
doi = "10.1134/S1560354714060057",
arxiv = "1409.4944"
}
@article{dgd-b09-2014-lagrangian-scheme,
author = "Matthes, Daniel and Osberger, Horst",
title = "Convergence of a Variational Lagrangian Scheme for a Nonlinear Drift Diffusion Equation",
journal = "ESAIM: Mathematical Modelling and Numerical Analysis",
volume = "48",
number = "03",
pages = "697-726",
year = "2014",
arxiv = "1301.0747",
note = "Cambridge Univ Press"
}
@article{0951-7715-27-12-2951,
author = "Gaim, Wolfgang and Lasser, Caroline",
title = "Corrections to Wigner type phase space methods",
journal = "Nonlinearity",
volume = "27",
number = "12",
pages = "2951-2974",
url = "http://stacks.iop.org/0951-7715/27/i=12/a=2951",
doi = "10.1088/0951-7715/27/12/2951",
arxiv = "1403.2839",
year = "2014",
abstract = "Over decades, the time evolution of Wigner functions along classical Hamiltonian flows has been used for approximating key signatures of molecular quantum systems. Such approximations are for example the Wigner phase space method, the linearized semiclassical initial value representation, or the statistical quasiclassical method. The mathematical backbone of these approximations is Egorov's theorem. In this paper, we reformulate the well-known second order correction to Egorov's theorem as a system of ordinary differential equations and derive an algorithm with improved asymptotic accuracy for the computation of expectation values. For models with easily evaluated higher order derivatives of the classical Hamiltonian, the new algorithm's corrections are computationally less expensive than the leading order Wigner method. Numerical test calculations for a two-dimensional torsional system confirm the theoretical accuracy and efficiency of the new method."
}
@inproceedings{dgd-a03-2014-06-delaunay,
author = "Padrol, Arnau and Theran, Louis",
editor = "Cheng, Siu-Wing and Devillers, Olivier",
title = "Delaunay triangulations with disconnected realization spaces",
booktitle = "30th Annual Symposium on Computational Geometry, SOCG'14, Kyoto, Japan, June 08 - 11, 2014",
year = "2014",
pages = "163 - 170",
publisher = "ACM",
doi = "10.1145/2582112.2582119",
isbn = "978-1-4503-2594-3"
}
@article{dgd-a02-2014-09,
author = "Bobenko, Alexander I. and Hertrich-Jeromin, Udo and Lukyanenko, Inna",
doi = "10.1007/s00454-014-9622-5",
issn = "0179-5376",
journal = "Discrete and Computational Geometry",
keywords = "Königs dual; Christoffel transformation; Discrete conjugate net; Space form; Constant mean curvature; Mixed area; 53A10; 53C42; 53A15; 53A30; 37K25; 37K35",
language = "English",
number = "4",
pages = "612-629",
publisher = "Springer US",
title = "Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality",
volume = "52",
year = "2014",
arxiv = "1409.2001"
}
@unpublished{dgd-a10-2014-dualizable,
author = "Kutyniok, Gitta and Lim, Wang-Q",
title = "Dualizable Shearlet Frames and Sparse Approximation",
note = "preprint",
year = "2014"
}
@article{dgd-b04-2014-01,
author = "Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere",
title = "Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies",
journal = "Electron. Res. Announc. Math. Sci.",
fjournal = "Electronic Research Announcements in Mathematical Sciences",
volume = "21",
year = "2014",
pages = "41--61",
issn = "1935-9179",
mrclass = "37J40 (34C45 70H08)",
mrnumber = "3260128",
mrreviewer = "Igor O. Parasyuk",
doi = "10.3934/era.2014.21.41",
arxiv = "1306.0728"
}
@article{dgd-b04-2014-separatrices,
author = "Delshams, Amadeu and Gonchenko, Marina and Gutiérrez, Pere",
title = "Exponentially Small Lower Bounds for the Splitting of Separatrices to Whiskered Tori with Frequencies of Constant Type",
journal = "International Journal of Bifurcation and Chaos",
volume = "24",
number = "08",
pages = "1440011",
year = "2014",
doi = "10.1142/S0218127414400112",
arxiv = "1402.1654"
}
@unpublished{dgd-a07-2014-extremal,
author = "Adiprasito, K. and Benedetti, B. and Lutz, F. H.",
title = "Extremal examples of collapsible complexes and random discrete Morse theory",
year = "2014",
note = "preprint",
arxiv = "1404.4239"
}
@article{dgd-a11-2014-foldable,
author = "Joswig, Michael and Ziegler, Günter M.",
title = "Foldable triangulations of lattice polygons",
journal = "Amer. Math. Monthly",
volume = "121",
number = "8",
year = "2014",
pages = "706-710",
doi = "10.4169/amermathmont.121.08.706",
arxiv = "1207.6865"
}
@article{dgd-a08-2014-form,
author = "Tang, Chengcheng and Sun, Xiang and Gomes, Alexandra and Wallner, Johannes and Pottmann, Helmut",
title = "Form-finding with Polyhedral Meshes Made Simple",
journal = "ACM Trans. Graphics",
year = "2014",
volume = "33",
number = "4",
pages = "$\\#$70,1-9",
note = "Proc. SIGGRAPH",
preprint = "http://www.geometrie.tugraz.at/wallner/formfinding2.pdf",
doi = "10.1145/2601097.2601213"
}
@article{dgd-a08-a09-2014-honeycomb,
author = "Jiang, Caigui and Wang, Jun and Wallner, Johannes and Pottmann, Helmut",
title = "Freeform Honeycomb Structures",
journal = "Comput. Graph. Forum",
volume = "33",
number = "5",
year = "2014",
pages = "185-194",
note = "Proc. Symposium Geometry Processing",
preprint = "http:/www.geometrie.tugraz.at/wallner/hexstructure.pdf",
doi = "10.1111/cgf.12444"
}
@inproceedings{dgd-c09-2014-generalized,
author = "Oswald, M. R. and Stühmer, J. and Cremers, D.",
booktitle = "European Conference on Computer Vision (ECCV)",
numpages = "14",
pages = "32--46",
title = "Generalized Connectivity Constraints for Spatio-temporal {3D} Reconstruction",
doi = "10.1007/978-3-319-10593-2\_3",
year = "2014"
}
@unpublished{dgd-B09-2014-convex-energies,
author = "Zinsl, Jonathan",
title = "Geodesically Convex Energies and Confinement of Solutions for a Multi-Component System of Nonlocal Interaction Equations",
note = "Submitted",
arxiv = "1412.3266",
year = "2014"
}
@incollection{dgd-a08-a09-2014-interactive,
author = "Jiang, Caigui and Tang, Chengcheng and Tomičić, Marko and Wallner, Johannes and Pottmann, Helmut",
editor = "Block, P. and Knippers, J. and Wang, W.",
title = "Interactive modeling of architectural freeform structures - combining geometry with fabrication and statics",
booktitle = "Advances in Architectural Geometry",
year = "2014",
publisher = "Springer",
preprint = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2014/interactive/interactive.pdf"
}
@inproceedings{dgd-a03-2014-06-polytopes,
author = "Gonska, Bernd and Padrol, Arnau",
title = "Many neighborly inscribed polytopes and Delaunay triangulations",
booktitle = "26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)",
journal = "DMTCS Proceedings",
year = "2014",
pages = "161-168",
url = "http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAT0115"
}
@article{dgd-b08-2014-Metastability,
author = "R. Alicandro, L. De Luca, A. Garroni and Ponsiglione, M.",
title = "Metastability and dynamics of discrete topological singularities in two dimensions: a Gamma-convergence approach",
journal = "Archive for Rational Mechanics and Analysis, 214(1):269--330",
year = "2014"
}
@article{dgd-b11-2014-microstructures,
author = "Zwicknagl, Barbara",
title = "Microstructures in low-hysteresis shape memory alloys: scaling regimes and optimal needle shapes",
journal = "Arch. Ration. Mech. Anal.",
fjournal = "Archive for Rational Mechanics and Analysis",
volume = "213",
year = "2014",
number = "2",
pages = "355-421",
issn = "0003-9527",
doi = "10.1007/s00205-014-0736-y"
}
@article{dgd-b04-2014-10,
author = "Delshams, Amadeu and Gonchenko, Marina and Gonchenko, Sergey V.",
title = "On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies",
journal = "Regul. Chaotic Dyn.",
fjournal = "Regular and Chaotic Dynamics. International Scientific Journal",
volume = "19",
year = "2014",
number = "6",
pages = "702--717",
issn = "1560-3547",
mrclass = "37C05 (37C29 37E30 37G25)",
mrnumber = "3284610",
mrreviewer = "M. L. Blank",
doi = "10.1134/S1560354714060082",
arxiv = "1410.5704"
}
@article{dgd-a08-2014-cmc2,
author = "Müller, Christian",
title = "On Discrete Constant Mean Curvature Surfaces",
journal = "Discrete Comput. Geom.",
volume = "51",
year = "2014",
number = "3",
pages = "516--538",
doi = "10.1007/s00454-014-9577-6",
preprint = "http://www.geometrie.tuwien.ac.at/cmueller/cmc.pdf"
}
@article{dgd-a09-2014-offsets,
author = "Karpenkov, Oleg and Wallner, Johannes",
title = "On offsets and curvatures for discrete and semidiscrete surfaces",
year = "2014",
journal = "Beitr. Algebra Geom.",
volume = "55",
pages = "207-228",
preprint = "http://www.geometrie.tugraz.at/wallner/sdcurv.pdf",
doi = "10.1007/s13366-013-0146-6",
mrnumber = "MR3167790"
}
@article{dgd-b02-2014-01,
author = "Huhnen-Venedey, Emanuel and Schief, Wolfgang K.",
title = "On Weingarten Transformations of Hyperbolic Nets",
year = "2014",
doi = "10.1093/imrn/rnt354",
abstract = "Weingarten transformations of smooth surfaces, which, by definition, preserve asymptotic lines have been studied extensively in classical differential geometry, and they also play an important role in connection with the modern geometric theory of integrable systems. Their natural discrete analogs have been investigated in great detail in the area of (integrable) discrete differential geometry and can be traced back at least to the early 1950s. Here, we propose a canonical analog of (discrete) Weingarten transformations for hyperbolic nets, that is, C1-surfaces which constitute hybrids of smooth and discrete surfaces “parameterized” in terms of asymptotic coordinates. We prove the existence of Weingarten pairs and analyze their geometric and algebraic properties.",
url = "http://imrn.oxfordjournals.org/content/early/2014/01/24/imrn.rnt354.abstract",
journal = "International Mathematics Research Notices",
arxiv = "1305.4783"
}
@article{dgd-c03-2014,
author = "Grohs, Philipp and Kutyniok, Gitta",
title = "Parabolic molecules",
journal = "Found. Comput. Math.",
fjournal = "Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics",
volume = "14",
year = "2014",
number = "2",
pages = "299--337",
issn = "1615-3375",
mrclass = "42C15",
mrnumber = "3179586",
doi = "10.1007/s10208-013-9170-z"
}
@Article{dgd-a07-2013-03,
author = "Benedetti, B. and Lutz, F. H.",
title = "Random discrete Morse theory and a new library of triangulations",
journal = "Experimental Mathematics",
year = "2014",
volume = "23",
number = "1",
pages = "66-94",
arxiv = "1303.6422"
}
@inproceedings{dgd-a04-2014-regular,
author = "Razafindrazaka, Faniry and Polthier, Konrad",
editor = "Gary Greenfield, George Hart and Sarhangi, Reza",
title = "Regular Surfaces and Regular Maps",
pages = "225--234",
booktitle = "Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture",
year = "2014",
isbn = "978-1-938664-11-3",
issn = "1099-6702",
publisher = "Tessellations Publishing",
address = "Phoenix, Arizona",
url = "http://archive.bridgesmathart.org/2014/bridges2014-225.html"
}
@article{dgd-a12-2014-ropelength,
author = "Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M.",
title = "Ropelength Criticality",
journal = "Geom. Topol.",
volume = "18",
pages = "1973--2043",
year = "2014",
arxiv = "1102.3234"
}
@ARTICLE{dgd-a12-2014-skin,
author = "Evans, Myfanwy E. and Roth, Roland",
title = "Shaping the skin: the interplay of mesoscale geometry and corneocyte swelling",
url = "http://link.aps.org/doi/10.1103/PhysRevLett.112.038102",
number = "3",
volume = "112",
year = "2014",
journal = "Phys. Rev. Lett.",
fjournal = "Physical Review Letters",
pages = "038102:1--5"
}
@unpublished{dgd-a10-2014-01,
author = "Kutyniok, Gitta and Lim, Wang-Q and Reisenhofer, Rafael",
title = "ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets",
note = "Preprint",
year = "2014",
month = "January",
arxiv = "1402.5670"
}
@article{dgd-c02-2014-sigma-delta,
author = "Krahmer, F. and Saab, R. and Yilmaz, Ö.",
title = "Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing",
journal = "Inform. Inference",
year = "2014",
number = "1",
pages = "40-58",
volume = "3",
owner = "f.krahmer",
timestamp = "2013.04.23",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/KSY13"
}
@article{dgd-c01-2014-smoke,
author = "S. Weissmann, U. Pinkall and Schröder, P.",
title = "Smoke rings from smoke",
journal = "ACM Transactions on Graphics, 33",
year = "2014"
}
@article{dgd-a08-2014-rational,
author = "Shi, Ling and Wang, Jun and Pottmann, Helmut",
title = "Smooth surfaces from rational bilinear patches",
journal = "Comput. Aided Geom. Design",
fjournal = "Computer Aided Geometric Design",
volume = "31",
year = "2014",
number = "1",
pages = "1--12",
preprint = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2014/hypnets/hypnets.pdf",
doi = "10.1016/j.cagd.2013.11.001"
}
@Article{dgd-c02-2014-suprema,
author = "Krahmer, F. and Mendelson, S. and Rauhut, H.",
title = "Suprema of Chaos Processes and the Restricted Isometry Property",
journal = "Comm. Pure Appl. Math.",
year = "2014",
number = "11",
pages = "1877-1904",
volume = "67",
owner = "f.krahmer",
timestamp = "2012.07.01",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/KMR12.pdf"
}
@incollection{dgd-pr-2014,
author = "Ziegler, Günter M. and Loos, Andreas",
title = {Teaching and Learning "What is Mathematics"},
booktitle = "Proc. International Congress of Mathematicians, Seoul 2014",
volume = "IV",
pages = "1201-1215",
year = "2014",
publisher = "Kyung Moon Books",
address = "Seoul, Korea"
}
@inproceedings{dgd-c04-2014-morse,
author = "Bauer, Ulrich and Edelsbrunner, Herbert",
address = "New York, NY, USA",
booktitle = "Proceedings of the Thirtieth Annual Symposium on Computational Geometry",
citeulike-article-id = "13606519",
citeulike-linkout-0 = "http://portal.acm.org/citation.cfm?id=2582112.2582167",
citeulike-linkout-1 = "http://dx.doi.org/10.1145/2582112.2582167",
doi = "10.1145/2582112.2582167",
isbn = "978-1-4503-2594-3",
location = "Kyoto, Japan",
posted-at = "2015-05-08 13:26:57",
priority = "2",
publisher = "ACM",
series = "SOCG'14",
title = "The Morse Theory of Cech and Delaunay Filtrations",
year = "2014"
}
@article{dgd-c04-2014-self,
author = "Edelsbrunner, Herbert and Jablonski, Grzegorz and Mrozek, Marian",
journal = "Foundations of Computational Mathematics",
citeulike-article-id = "13478981",
citeulike-linkout-0 = "http://dx.doi.org/10.1007/s10208-014-9223-y",
citeulike-linkout-1 = "http://link.springer.com/article/10.1007/s10208-014-9223-y",
doi = "10.1007/s10208-014-9223-y",
keywords = "computational-topology",
pages = "1--32",
posted-at = "2015-01-09 16:31:53",
priority = "2",
publisher = "Springer US",
title = "The Persistent Homology of a Self-Map",
year = "2014"
}
@article{dgd-a03-2014-tv,
author = "Blagojevic, Pavle V. M. and Frick, Florian and Matschke, Benjamin and Ziegler, Günter M.",
title = "Tight and non-tight topological Tverberg type theorems",
journal = "Oberwolfach Reports",
year = "2014",
volume = "11",
number = "3",
pages = "2284-2287"
}
@article{dgd-a03-2014-06-tverberg,
author = "Blagojevic, Pavle V. M. and Frick, Florian and Ziegler, Günter M.",
title = "Tverberg plus constraints",
journal = "Bulletin of the London Mathematical Society",
note = "Extended Abstract: Oberwolfach Reports, 11(1):14-16, 2014",
year = "2014",
volume = "46",
pages = "953-967",
arxiv = "1401.0690",
doi = "10.1112/blms/bdu049",
url = "http://blms.oxfordjournals.org/cgi/content/abstract/bdu049?ijkey=s0zAd5sXaMm0aIt"
}
@unpublished{dgd-a09-2014-variational,
author = "Carl, Wolfgang and Wallner, Johannes",
title = "Variational Laplacians for semidiscrete surfaces",
year = "2014",
note = "submitted",
url = "http://www.geometrie.tugraz.at/carl/gradients.pdf"
}
@article{dgd-a01-2013-12,
author = "Bobenko, A.I. and Springborn, B.",
title = "Diskretisierung in Geometrie und Dynamik - Elastische Stäbe und Rauchringe",
journal = "Mitteilungen der DMV",
volume = "21",
number = "1",
pages = "218-224",
year = "2013",
month = "December",
url = "http://www.degruyter.com/view/j/dmvm.2013.21.issue-00004/issue-files/dmvm.2013.21.issue-00004.xml"
}
@article{dgd-a03-2013-12,
author = "Padrol, Arnau",
title = "Many neighborly polytopes and oriented matroids.",
fjournal = "Discrete \\& Computational Geometry",
journal = "Discrete Comput. Geom.",
issn = "0179-5376; 1432-0444/e",
volume = "50",
number = "4",
pages = "865--902",
year = "2013",
month = "December",
publisher = "Springer-Verlag, New York, NY",
language = "English",
doi = "10.1007/s00454-013-9544-7",
arxiv = "1202.2810"
}
@article{dgd-b07-2013-12,
author = "Boll, Raphael",
title = "On Bianchi permutability of Bäcklund transformations for asymmetric quad-equations",
journal = "Journal of Nonlinear Mathematical Physics",
volume = "20",
number = "4",
pages = "577-605",
month = "December",
year = "2013",
doi = "10.1080/14029251.2013.865829",
arxiv = "1211.4374"
}
@article{dgd-a04-2013-efficient,
author = "von Tycowicz, Christoph and Schulz, Christian and Seidel, Hans-Peter and Hildebrandt, Klaus",
title = "An Efficient Construction of Reduced Deformable Objects",
journal = "ACM Trans. Graph.",
issue_date = "November 2013",
volume = "32",
number = "6",
month = "November",
year = "2013",
issn = "0730-0301",
pages = "213:1--213:10",
articleno = "213",
numpages = "10",
doi = "10.1145/2508363.2508392",
acmid = "2508392",
publisher = "ACM",
address = "New York, NY, USA",
keywords = "geometric modeling, modal analysis, modal derivatives, model reduction, real-time simulation, subset selection"
}
@article{dgd-a01-2013-10,
author = "Izmestiev, Ivan and Kusner, Robert B. and Rote, Günter and Springborn, Boris and Sullivan, John M.",
year = "2013",
month = "October",
issn = "0046-5755",
journal = "Geometriae Dedicata",
volume = "166",
number = "1",
doi = "10.1007/s10711-012-9782-5",
title = "There is no triangulation of the torus with vertex degrees 5, 6, ... , 6, 7 and related results: geometric proofs for combinatorial theorems",
publisher = "Springer Netherlands",
keywords = "Torus triangulation; Euclidean cone metric; Holonomy; Meromorphic differential; Residue theorem; Burgers vector; 05C10; 30F10; 57M50",
pages = "15-29",
language = "English",
arxiv = "1207.3605"
}
@article{dgd-a07-2013-08,
author = "Benedetti, Bruno and Lutz, Frank H.",
title = "Knots in Collapsible and Non-Collapsible Balls",
journal = "Electronic Journal of Combinatorics",
volume = "20, No. 3",
year = "2013",
month = "August",
url = "http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i3p31",
note = "Paper P31, 29 pages",
arxiv = "1303.2070"
}
@article{dgd-b04-2013-08,
author = "Santoprete, Manuele and Scheurle, Jürgen and Walcher, Sebastian",
title = "Motion in a Symmetric Potential on the Hyperbolic Plane",
journal = "Canadian J. of Mathematics",
note = "27 pages",
year = "2013",
month = "August",
arxiv = "1305.3788",
doi = "10.4153/CJM-2013-026-2"
}
@unpublished{dgd-a03-2013-08-neighborly,
author = "Gonska, Bernd and Padrol, Arnau",
title = "Neighborly inscribed polytopes and Delaunay triangulations",
year = "2013",
month = "August",
note = "Preprint",
arxiv = "1308.5798"
}
@article{dgd-b06-2013-07,
author = "Keller, Johannes and Lasser, Caroline",
title = "Propagation of Quantum Expectations with Husimi Functions",
journal = "SIAM Journal on Applied Mathematics",
volume = "73",
number = "4",
pages = "1557-1581",
year = "2013",
month = "July",
doi = "10.1137/120889186",
arxiv = "1207.7211"
}
@article{dgd-c01-2013-07-Robust,
author = "K. Crane, U. Pinkall and Schröder, P.",
title = "Robust fairing via conformal curvature flow",
journal = "ACM Trans. Graph, 32(4):61:1--61:10",
year = "2013",
month = "July"
}
@article{dgd-b03-2013-06-painleve,
author = "Wechslberger, Georg and Bornemann, Folkmar",
year = "2013",
month = "June",
issn = "0176-4276",
journal = "Constructive Approximation",
doi = "10.1007/s00365-013-9199-x",
title = "Automatic Deformation of Riemann–Hilbert Problems with Applications to the Painlevé II Transcendents",
publisher = "Springer-Verlag",
keywords = "Riemann–Hilbert problems; Contour deformation; Preconditioning; Discrete optimization; Greedy algorithm; Painlevé II",
pages = "1-21",
language = "English",
arxiv = "1206.2446"
}
@article{dgd-b03-2013-06,
author = "Witte, N.S. and Bornemann, F. and Forrester, P.J.",
title = "Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles",
journal = "Nonlinearity, Volume 26, Number 6, pp. 1799-1822",
year = "2013",
month = "June",
doi = "10.1088/0951-7715/26/6/1799",
arxiv = "1209.2190"
}
@unpublished{dgd-a03-2013-05,
author = "Blagojevic, Pavle V. M. and Lück, Wolfgang and Ziegler, Günter M.",
title = "On highly regular embeddings",
note = {Preprint, 19 pages; Transactions Amer. Math. Soc. to appear, Extended Abstract: in Proc. "Combinatorial Methods in Topology and Algebra'' (CoMeTa), Cortona},
year = "2013",
month = "May",
arxiv = "1305.7483"
}
@article{dgd-a10-2013-03,
author = "Bodmann, Bernhard G. and Kutyniok, Gitta and Zhuang, Xiaosheng",
title = "Gabor Shearlets",
journal = "Appl. Comput. Harmon. Anal.",
year = "2013",
month = "March",
note = "submitted",
url = "http://www.math.tu-berlin.de/fileadmin/i26\_fg-kutyniok/Kutyniok/Papers/GaborShearlets.pdf",
arxiv = "1303.6556"
}
@Article{dgd-a04-2013-regular,
author = "Razafindrazaka, Faniry and Polthier, Konrad",
title = "Regular Map Smoothing",
year = "2013",
month = "March",
journal = "IMAGEN-A",
volume = "3",
number = "5",
publisher = "Publishing House of the University of Seville.",
issn = "1885-4508",
language = "en",
url = "http://munkres.us.es/Volume3/Volumen3/N\_5\_files/5.4.pdf"
}
@unpublished{dgd-a07-2013-03-hirsch,
author = "Adiprasito, Karim Alexander and Benedetti, Bruno",
title = "The Hirsch conjecture holds for normal flag complexes",
year = "2013",
month = "March",
note = "preprint, revised April 2013",
arxiv = "1303.3598"
}
@article{dgd-a04-2013-casteljau,
author = "Nava-Yazdani, E. and Polthier, K.",
title = "De Casteljauʼs algorithm on manifolds",
journal = "Computer Aided Geometric Design",
volume = "30",
number = "7",
pages = "722 - 732",
year = "2013",
issn = "0167-8396",
doi = "10.1016/j.cagd.2013.06.002",
url = "http://www.sciencedirect.com/science/article/pii/S0167839613000551",
abstract = "Abstract This paper proposes a generalization of the ordinary de Casteljau algorithm to manifold-valued data including an important special case which uses the exponential map of a symmetric space or Riemannian manifold. We investigate some basic properties of the corresponding Bézier curves and present applications to curve design on polyhedra and implicit surfaces as well as motion of rigid body and positive definite matrices. Moreover, we apply our approach to construct canal and developable surfaces."
}
@article{dgd-a01-2013-medial-graph,
author = "Bobenko, Alexander I. and Günther, Felix",
title = "Discrete complex analysis – the medial graph approach",
journal = "Actes des rencontres du CIRM 3 no. 1: Courbure discrète: théorie et applications",
year = "2013",
pages = "159-169",
url = "http://acirm.cedram.org/acirm-bin/fitem?id=ACIRM\_2013\_\_3\_1\_159\_0",
doi = "10.5802/acirm.65"
}
@article{dgd-a08-a09-2013-congruences,
author = "Wang, J. and Jiang, C. and Bompas, P. and Wallner, J. and Pottmann, H.",
title = "Discrete Line Congruences for Shading and Lighting",
journal = "Computer Graphics Forum",
note = "Proc. Symposium Geometry Processing",
editors = "Yaron Lipman and Hao Zhang",
volume = "32",
number = "5",
pages = "53-62",
year = "2013",
preprint = "http://www.dmg.tuwien.ac.at/pottmann/2013/lineconsgp/lineconsgp.pdf",
doi = "10.1111/cgf.12172"
}
@article{dgd-a05-2013-globally,
author = "Knöppel, Felix and Crane, Keenan and Pinkall, Ulrich and Schröder, Peter",
title = "Globally optimal direction fields",
journal = "ACM Trans. Graph.",
volume = "32",
number = "4",
year = "2013",
publisher = "ACM",
address = "New York, NY, USA",
url = "http://www.cs.columbia.edu/\textasciitilde keenan/Projects/GloballyOptimalDirectionFields/paper.pdf"
}
@article{dgd-a03-2013-inscribable,
author = "Gonska, Bernd and Ziegler, Günter M.",
journal = "Adv. Geom.",
pages = "723-740",
title = "Inscribable stacked polytopes",
volume = "13",
year = "2013",
arxiv = "1111.5322"
}
@unpublished{dgd-a07-2013-metric,
author = "Adiprasito, K. and Benedetti, B.",
title = "Metric geometry, convexity and collapsibility",
year = "2013",
arxiv = "1107.5789",
note = "preprint"
}
@article{dgd-b07-2014-08,
author = "Boll, R. and Petrera, M. and Suris, Yu. B.",
title = "Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems",
journal = "J. Phys. A: Math. Theor.",
year = "2013",
volume = "46",
number = "27",
pages = "275024, 26 pp.",
doi = "10.1088/1751-8113/46/27/275204",
arxiv = "1408.2405"
}
@ARTICLE{dgd-a12-2013-entangle1,
author = "Evans, Myfanwy E. and Robins, Vanessa and Hyde, Stephen",
doi = "10.1107/S0108767313001670",
title = "Periodic entanglement I: nets from hyperbolic reticulations",
url = "http://journals.iucr.org/a/issues/2013/03/00/eo5019/index.html",
volume = "A69",
year = "2013",
journal = "Acta Cryst.",
pages = "241--261"
}
@ARTICLE{dgd-a12-2013-entangle2,
author = "Evans, Myfanwy E. and Robins, Vanessa and Hyde, Stephen",
doi = "10.1107/S0108767313001682",
title = "Periodic entanglement II: weavings from hyperbolic line patterns",
url = "http://journals.iucr.org/a/issues/2013/03/00/eo5020/index.html",
volume = "A69",
year = "2013",
journal = "Acta Cryst.",
pages = "262--275"
}
@incollection{dgd-a08-2013-quasiisothermic,
editor = "Hesselgren, Lars and Sharma, Shrikant and Wallner, Johannes and Baldassini, Niccolo and Bompas, Philippe and Raynaud, Jacques",
author = "Sechelmann, Stefan and Rörig, Thilo and Bobenko, Alexander I.",
year = "2013",
isbn = "978-3-7091-1250-2",
booktitle = "Advances in Architectural Geometry 2012",
doi = "10.1007/978-3-7091-1251-9\_20",
title = "Quasiisothermic Mesh Layout",
publisher = "Springer Vienna",
pages = "243-258",
language = "English"
}
@article{dgd-a05-2013-robust,
author = "Crane, Keenan and Pinkall, Ulrich and Schröder, Peter",
title = "Robust Fairing via Conformal Curvature Flow",
journal = "ACM Trans. Graph.",
volume = "32",
issue = "4",
year = "2013",
publisher = "ACM",
address = "New York, NY, USA",
url = "http://www.cs.columbia.edu/\textasciitilde keenan/Projects/ConformalWillmoreFlow/paper.pdf"
}
@article{dgd-a08-2013-smooth,
author = "Käferböck, Florian and Pottmann, Helmut",
title = "Smooth surfaces from bilinear patches: discrete affine minimal surfaces",
journal = "Computer-Aided Geom. Design",
volume = "30",
pages = "476-489",
year = "2013",
preprint = "http://www.geometrie.tuwien.ac.at/geom/fg4/sn/2013/affminimal/affine-minimal-2012-kaeferboeck-pottmann.pdf"
}
@Article{dgd-c02-2013-sparsity,
author = "Krahmer, F. and Kutyniok, G. and Lemvig, J.",
title = "Sparsity and spectral properties of dual frames",
journal = "Linear Algebra and its Applications",
year = "2013",
number = "4",
pages = "982 - 998",
volume = "439",
issn = "0024-3795",
keywords = "Dual frames",
owner = "f.krahmer",
timestamp = "2013.06.03",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/KKL12.pdf"
}
@inproceedings{dgd-a04-2013-6ring,
author = "Razafindrazaka, Faniry and Polthier, Konrad",
editor = "Hart, George W. and Sarhangi, Reza",
title = "The 6-ring",
pages = "279--286",
booktitle = "Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture",
year = "2013",
isbn = "978-1-938664-06-9",
issn = "1099-6702",
publisher = "Tessellations Publishing",
address = "Phoenix, Arizona",
url = "http://archive.bridgesmathart.org/2013/bridges2013-279.html"
}
@incollection{dgd-a08-2012-topology,
editor = "Hesselgren, Lars and Sharma, Shrikant and Wallner, Johannes and Baldassini, Niccolo and Bompas, Philippe and Raynaud, Jacques",
author = "Lafuente Hernández, Elisa and Sechelmann, Stefan and Rörig, Thilo and Gengnagel, Christoph",
year = "2013",
isbn = "978-3-7091-1250-2",
booktitle = "Advances in Architectural Geometry 2012",
doi = "10.1007/978-3-7091-1251-9\_11",
title = "Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method",
publisher = "Springer Vienna",
pages = "147-160",
language = "English"
}
@article{dgd-b07-2012-12,
author = "Suris, Yu. B.",
title = "Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms",
journal = "J. Geometric Mechanics",
year = "2013",
volume = "5",
number = "3",
pages = "365--379",
doi = "10.3934/jgm.2013.5.365",
arxiv = "1212.3314"
}
@article{dgd-b02-2012-09,
author = "Bobenko, Alexander I. and Günther, Felix",
year = "2012",
month = "September",
issn = "0377-9017",
journal = "Letters in Mathematical Physics",
volume = "102",
number = "2",
doi = "10.1007/s11005-012-0583-4",
title = "On Discrete Integrable Equations with Convex Variational Principles",
publisher = "Springer Netherlands",
keywords = "37J35; 52C26; 70S05; discrete integrable systems; integrable quad-equations; Lagrangian formalism; variational principle; Dirichlet boundary value problem; circle patterns",
pages = "181-202",
language = "English",
arxiv = "1111.6273"
}
@unpublished{dgd-b04-2012-09,
author = "Colombo, Leonardo and Jiménez, Fernando and de Diego, David Martín",
title = "Variational integrators for underactuated mechanical control systems with symmetries",
note = "submitted",
year = "2012",
month = "September",
arxiv = "1209.6315"
}
@article{dgd-b07-2012-08-kovalevskaya,
author = "Petrera, M. and Suris, Y. B.",
title = "S. Kovalevskaya system, its generalization and discretization",
journal = "Frontiers of Mathematics in China, 2013, 8, No. 5, p. 1047-1065",
year = "2012",
month = "August",
doi = "10.1007/s11464-013-0305-y",
arxiv = "1208.3726"
}
@article{dgd-b07-2012-08-spherical,
author = "Petrera, M. and Suris, Y. B.",
title = "Spherical geometry and integrable systems",
journal = "Geometriae Dedicata",
year = "2012",
month = "August",
doi = "10.1007/s10711-013-9843-4",
arxiv = "1208.3625"
}
@article{dgd-a04-2012-07,
author = "Pan, Hao and Choi, Yi-King and Liu, Yang and Hu, Wenchao and Du, Qiang and Polthier, Konrad and Zhang, Caiming and Wang, Wenping",
title = "Robust Modeling of Constant Mean Curvature Surfaces",
journal = "ACM Trans. Graph.",
issue_date = "July 2012",
volume = "31",
number = "4",
month = "July",
year = "2012",
issn = "0730-0301",
pages = "85:1--85:11",
articleno = "85",
numpages = "11",
doi = "10.1145/2185520.2185581",
acmid = "2185581",
publisher = "ACM",
address = "New York, NY, USA",
keywords = "centroidal Voronoi tessellation, constant mean curvature, mesh quality, surface modeling"
}
@article{dgd-c03-2012-construction,
author = "Kittipoom, Pisamai and Kutyniok, Gitta and Lim, Wang-Q",
title = "Construction of compactly supported shearlet frames.",
fjournal = "Constructive Approximation",
journal = "Constr. Approx.",
issn = "0176-4276; 1432-0940/e",
volume = "35",
number = "1",
pages = "21--72",
year = "2012",
publisher = "Springer US, New York, NY",
language = "English",
doi = "10.1007/s00365-011-9142-y",
msc2010 = "42C40 42C15 65T60 65T99 94A08",
zbl = "1239.42031",
arxiv = "1003.5481"
}
@article{dgd-a04-2012-domain,
author = "Poelke, K. and Polthier, K.",
title = "Domain Coloring of Complex Functions: An Implementation-Oriented Introduction",
journal = "IEEE Computer Graphics and Applications",
volume = "32",
number = "5",
issn = "0272-1716",
year = "2012",
pages = "90-97",
doi = "10.1109/MCG.2012.100",
publisher = "IEEE Computer Society",
address = "Los Alamitos, CA, USA"
}
@article{dgd-a04-2012-hexagonal,
author = "Nieser, Matthias and Palacios, Jonathan and Polthier, Konrad and Zhang, Eugene",
title = "Hexagonal Global Parameterization of Arbitrary Surfaces",
journal = "IEEE Transactions on Visualization and Computer Graphics",
volume = "18",
number = "6",
issn = "1077-2626",
year = "2012",
pages = "865-878",
doi = "10.1109/TVCG.2011.118",
publisher = "IEEE Computer Society",
address = "Los Alamitos, CA, USA"
}
@article{dgd-c02-2012-lower,
author = "Krahmer, F. and Ward, R.",
title = "Lower bounds for the error decay incurred by coarse quantization schemes",
journal = "Appl. Comput. Harmonic Anal.",
year = "2012",
number = "1",
pages = "131--138",
volume = "32",
annote = "journal",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/KW12.pdf"
}
@article{dgd-a13-2012-minimizing,
author = "Yeung, Y. Au and Friesecke, G. and Schmidt, B.",
journal = "Calc. Var. PDE",
pages = "81-100",
title = "Minimizing atomic configurations of short range pair potentials in two dimensions: crystallization in the Wulff shape",
volume = "44",
doi = "10.1007/s00526-011-0427-6",
year = "2012"
}
@ARTICLE{dgd-c05-2012-modal,
author = "Hildebrandt, Klaus and Schulz, Christian and von Tycowicz, Christoph and Polthier, Konrad",
title = "Modal shape analysis beyond Laplacian",
journal = "Computer Aided Geometric Design",
year = "2012",
volume = "29",
pages = "204--218",
number = "5",
doi = "10.1016/j.cagd.2012.01.001"
}
@article{dgd-a11-2012-splits,
author = "Joswig, Michael and Rörig, Thilo",
title = "Polytope mit vielen Splits und ihre Sekundärfächer",
journal = "Math. Semesterber.",
fjournal = "Mathematische Semesterberichte",
volume = "59",
year = "2012",
number = "2",
pages = "145--152",
issn = "0720-728X",
mrclass = "52B05 (52B11 52B45)",
mrnumber = "2970478",
mrreviewer = "J. Böhm",
doi = "10.1007/s00591-012-0102-9"
}
@article{dgd-a02-2012-root,
author = "Krahmer, F. and Saab, R. and Ward, R.",
title = "Root-exponential accuracy for coarse quantization of finite frame expansions",
journal = "IEEE Trans. Inform. Theory",
year = "2012",
number = "2",
pages = "1069--1079",
volume = "58",
annote = "journal",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/KSW12.pdf"
}
@incollection{dgd-a08-2012-ruled,
author = "Flöry, Simon and Nagai, Yukie and Isvoranu, Florin and Pottmann, Helmut and Wallner, Johannes",
editor = "Hesselgren, Lars and Sharma, Shrikant and Wallner, Johannes and Baldassini, Niccolo and Bompas, Philippe and Raynaud, Jacques",
title = "Ruled Free Forms",
fulleditor = "Lars Hesselgren and Shrikant Sharma and Johannes Wallner and Niccolo Baldassini and Philippe Bompas and Jacques Raynaud",
booktitle = "Advances in Architectural Geometry 2012",
publisher = "Springer",
year = "2012",
pages = "57-66",
preprint = "http://www.geometrie.tugraz.at/wallner/conoid.pdf",
doi = "10.1007/978-3-7091-1251-9\_4"
}
@article{dgd-b10-2011-06-integrability,
author = "Petrera, M. and Pfadler, A. and Suris, Yu.",
title = "On integrability of Hirota-Kimura type discretizations",
journal = "Regular and Chaotic Dynamics",
volume = "16",
number = "3",
pages = "245-289",
year = "2011",
month = "June",
doi = "10.1134/S1560354711030051"
}
@article{dgd-b10-2011-framework,
author = "Kuehn, C.",
title = "A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics",
journal = "Physica D",
volume = "240",
number = "12",
pages = "1020--1035",
year = "2011",
doi = "10.1016/j.physd.2011.02.012"
}
@article{dgd-c02-2011-redundancy,
author = "Bodmann, B. G. and Casazza, P. G. and Kutyniok, G.",
title = "A Quantitative Notion of Redundancy for Finite Frames",
journal = "Appl. Comput. Harmon. Anal.",
year = "2011",
pages = "348-362",
volume = "30",
owner = "kutyniok",
timestamp = "2015.05.14",
arxiv = "0910.5904"
}
@article{dgd-c02-2011-one-bit,
author = "Deift, P. and Güntürk, C. S. and Krahmer, F.",
title = "An Optimal Family of Exponentially Accurate One-Bit Sigma-Delta Quantization Schemes",
journal = "Comm. Pure Appl. Math.",
year = "2011",
number = "7",
pages = "883--919",
volume = "64",
annote = "Journal",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/DGK11.pdf"
}
@inproceedings{dgd-c02-2011-coarse,
author = "Bodmann, B. G. and Kutyniok, G. and Zhuang, X.",
title = "Coarse Quantization with the Fast Digital Shearlet Transform",
booktitle = "Wavelets and Sparsity XIV (San Diego, CA, 2011), SPIE Proc.",
year = "2011",
pages = "8138OZ-1 - 8138OZ-10",
publisher = "SPIE, Bellingham, WA",
volume = "8138",
owner = "kutyniok",
timestamp = "2015.05.14",
doi = "10.1117/12.892720"
}
@article{dgd-c03-2011-compactly,
author = "Kutyniok, Gitta and Lim, Wang-Q",
title = "Compactly supported shearlets are optimally sparse.",
fjournal = "Journal of Approximation Theory",
journal = "J. Approx. Theory",
issn = "0021-9045",
volume = "163",
number = "11",
pages = "1564--1589",
year = "2011",
publisher = "Elsevier (Academic Press), San Diego, CA",
language = "English",
doi = "10.1016/j.jat.2011.06.005",
msc2010 = "42C40 41A46",
zbl = "1226.42031",
arxiv = "1002.2661"
}
@ARTICLE{dgd-a12-2011-corneo,
author = "Evans, Myfanwy E. and Hyde, Stephen T.",
doi = "10.1098/rsif.2010.0722",
title = "From three-dimensional weavings to swollen corneocytes",
url = "http://rsif.royalsocietypublishing.org/content/8/62/1274.short",
volume = "8",
year = "2011",
journal = "J.\textasciitilde R. Soc. Interface",
pages = "1274--1280"
}
@article{dgd-c05-2011-generalized,
author = "Hildebrandt, Klaus and Polthier, Konrad",
title = "Generalized shape operators on polyhedral surfaces",
journal = "Computer Aided Geometric Design",
volume = "28",
number = "5",
pages = "321 - 343",
year = "2011",
issn = "0167-8396",
doi = "10.1016/j.cagd.2011.05.001",
url = "http://www.sciencedirect.com/science/article/pii/S0167839611000628"
}
@article{dgd-c05-2011-approx,
author = "Hildebrandt, Klaus and Polthier, Konrad",
title = "On approximation of the Laplace-Beltrami operator and the Willmore energy of surfaces",
journal = "Computer Graphics Forum",
year = "2011",
volume = "30",
pages = "1513--1520",
number = "5",
doi = "10.1111/j.1467-8659.2011.02025.x",
issn = "1467-8659",
publisher = "Blackwell Publishing Ltd"
}
@article{dgd-c02-2011-optimally,
author = "Casazza, P. and Heinecke, A. and Krahmer, F. and Kutyniok, G.",
title = "Optimally sparse frames",
journal = "IEEE Trans. Inform. Theory",
year = "2011",
number = "11",
pages = "7279--7287",
volume = "57",
annote = "journal",
url = "http://num.math.uni-goettingen.de/\textasciitilde f.krahmer/CHKK11.pdf"
}
@article{dgd-c02-2011-sparse,
author = "Boufounos, P. and Kutyniok, G. and Rauhut, H.",
title = "Sparse Recovery from Combined Fusion Frame Measurements",
journal = "IEEE Trans. Inform. Theory",
year = "2011",
pages = "3864-3876",
volume = "57",
owner = "kutyniok",
timestamp = "2015.05.14",
arxiv = "0912.4988"
}
@article{dgd-a05-2011-spin,
author = "Crane, K. and Pinkall, U. and Schröder, P.",
journal = "ACM Transactions on Graphics",
title = "Spin transformations of discrete surfaces",
volume = "30",
year = "2011",
url = "http://www.cs.columbia.edu/\textasciitilde keenan/Projects/SpinTransformations/paper.pdf"
}
@article{dgd-b11-2011-variational,
author = "Alicandro, Roberto and Cicalese, Marco and Ponsiglione, Marcello",
journal = "Indiana Univ. Math. J.",
number = "1",
pages = "171-208",
title = "Variational equivalence between Ginzburg-Landau, $XY$ spin systems and screw dislocation energies",
volume = "60",
url = "https://www.jstor.org/stable/24903417?seq=1\#metadata\_info\_tab\_contents",
year = "2011"
}
@article{dgd-a05-2010-elastic,
author = "Chao, I. and Pinkall, U. and Sanan, P. and Schröder, P.",
journal = "ACM Transactions on Graphics",
title = "A simple geometric model for elastic deformations",
volume = "29",
year = "2010",
url = "http://www.eecs.berkeley.edu/\textasciitilde sequin/CS285/PAPERS/Chao\_Elastic-Model.pdf"
}
@article{dgd-c07-2010-filament,
author = "Weißmann, S. and Pinkall, U.",
title = "Filament-based smoke with vortex shedding and variational reconnection",
journal = "ACM Transactions on Graphics",
volume = "29",
year = "2010"
}
@article{dgd-b10-2010-homoclinic,
author = "Guckenheimer, J. and Kuehn, C.",
title = "Homoclinic orbits of the FitzHugh-Nagumo equation: Bifurcations in the full system",
journal = "SIAM J. Appl. Dyn. Syst.",
volume = "9",
issue = "1",
pages = "138--153",
year = "2010"
}
@article{dgd-c06-2010-scripting,
author = "Richter-Gebert, J. and Kortenkamp, U.",
title = "The power of scripting: DGS meets programming",
journal = "Acta didactica Napocensia",
volume = "3",
number = "2",
year = "2010",
pages = "67-78"
}
@article{dgd-a11-2010-totally,
author = "Herrmann, Sven and Joswig, Michael",
title = "Totally splittable polytopes",
journal = "Discrete Comput. Geom.",
fjournal = "Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science",
volume = "44",
year = "2010",
number = "1",
pages = "149--166",
issn = "0179-5376",
coden = "DCGEER",
mrclass = "52B11",
mrnumber = "2639822 (2011h:52014)",
mrreviewer = "Ashish Kumar Upadhyay",
doi = "10.1007/s00454-009-9217-8",
arxiv = "0901.0231"
}
@ARTICLE{dgd-c05-2010-uniform,
author = "Bauer, Ulrich and Polthier, Konrad and Wardetzky, Max",
title = "Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines",
journal = "Discrete and Computational Geometry",
publisher = "Springer Verlag",
volume = "43",
number = "4",
year = "2010",
pages = "798--823",
url = "http://www.springerlink.com/content/84210067816n0m78/",
arxiv = "0901.2822"
}
@article{dgd-a12-2009-distortion,
author = "Denne, Elizabeth and Sullivan, John M.",
title = "The Distortion of a Knotted Curve",
journal = "Proc. Amer. Math. Soc.",
volume = "137",
pages = "1139--1148",
year = "2009",
arxiv = "math/0409438"
}
@article{dgd-a11-2008-delaunay,
author = "Springborn, Boris",
title = "A variational principle for weighted Delaunay triangulations and hyperideal polyhedra",
journal = "J. Differential Geom.",
fjournal = "Journal of Differential Geometry",
volume = "78",
year = "2008",
number = "2",
pages = "333--367",
issn = "0022-040X",
coden = "JDGEAS",
mrclass = "52B10 (52B55 52B70 52C15 57M50 57Q15)",
mrnumber = "2394026 (2009a:52010)",
mrreviewer = "Johann Linhart",
url = "http://projecteuclid.org/euclid.jdg/1203000270",
arxiv = "math/0603097"
}
@article{dgd-a05-2008-conformal,
author = "Springborn, B. and Schröder, P. and Pinkall, U.",
journal = "ACM Transactions on Graphics",
title = "Conformal equivalence of triangle meshes",
volume = "27",
year = "2008",
url = "http://www.multires.caltech.edu/pubs/ConfEquiv.pdf",
doi = "10.1145/1360612.1360676"
}
@article{dgd-a11-2007-laplace,
author = "Bobenko, Alexander I. and Springborn, Boris A.",
title = "A discrete Laplace-Beltrami operator for simplicial surfaces",
journal = "Discrete Comput. Geom.",
fjournal = "Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science",
volume = "38",
year = "2007",
number = "4",
pages = "740-756",
issn = "0179-5376",
coden = "DCGEER",
mrclass = "53A05 (49Q05 53A10 65N06 65N22)",
mrnumber = "2365833 (2008k:53008)",
mrreviewer = "Wolfgang Kühnel",
doi = "10.1007/s00454-007-9006-1",
arxiv = "math/0503219"
}
@article{dgd-a11-2007-algorithm,
author = "Fisher, Michael and Springborn, Boris and Schröder, Peter and Bobenko, Alexander I.",
title = "An algorithm for the construction of intrinsic Delaunay triangulations with applications to digital geometry processing",
journal = "Computing",
fjournal = "Computing. Archives for Scientific Computing",
volume = "81",
year = "2007",
number = "2-3",
pages = "199--213",
issn = "0010-485X",
coden = "CMPTA2",
mrclass = "68U05 (52B55 65D18 94A08)",
mrnumber = "2354196",
doi = "10.1007/s00607-007-0249-8"
}
@article{dgd-c05-2007-quadcover,
author = "Kälberer, Felix and Nieser, Matthias and Polthier, Konrad",
title = "QuadCover - Surface Parameterization using Branched Coverings",
journal = "Comput. Graph. Forum",
volume = "26",
number = "3",
year = "2007",
pages = "375--384"
}
@article{dgd-c04-2007-persistence,
author = "Cohen-Steiner, David and Edelsbrunner, Herbert and Harer, John",
citeulike-article-id = "3197375",
citeulike-linkout-0 = "http://portal.acm.org/citation.cfm?id=1229140",
citeulike-linkout-1 = "http://dx.doi.org/10.1007/s00454-006-1276-5",
citeulike-linkout-2 = "http://www.springerlink.com/content/f51r061k4x3x6u54",
day = "6",
doi = "10.1007/s00454-006-1276-5",
journal = "Discrete and Computational Geometry",
keywords = "computational-topology",
month = "January",
number = "1",
pages = "103--120",
posted-at = "2008-09-05 14:49:52",
priority = "2",
title = "Stability of Persistence Diagrams",
volume = "37",
year = "2007"
}
@article{dgd-a11-2006-morse,
author = "Joswig, Michael and Pfetsch, Marc E.",
title = "Computing optimal Morse matchings",
journal = "SIAM J. Discrete Math.",
fjournal = "SIAM Journal on Discrete Mathematics",
volume = "20",
year = "2006",
number = "1",
pages = "11--25 (electronic)",
issn = "0895-4801",
mrclass = "90C27 (52Bxx 57Qxx 68Q17)",
mrnumber = "MR2257241",
doi = "10.1137/S0895480104445885",
arxiv = "math/0408331"
}
@article{dgd-a12-2006-gehring,
author = "Cantarella, Jason and Fu, Joseph H. G. and Kusner, Robert B. and Sullivan, John M. and Wrinkle, Nancy C.",
title = "Criticality for the Gehring Link Problem",
journal = "Geom. Topol.",
volume = "10",
pages = "2055--2115",
year = "2006",
arxiv = "math/0402212"
}
@article{dgd-a02-combinatorics,
author = "Bobenko, A. and Hoffmann, T. and Springborn, B.",
journal = "Ann. of Math.",
number = "1",
pages = "231--264",
title = "Minimal surfaces from circle patterns: Geometry from combinatorics",
volume = "164",
year = "2006",
arxiv = "0305184"
}
@article{dgd-c05-2006-metric,
author = "Hildebrandt, Klaus and Polthier, Konrad and Wardetzky, Max",
title = "On the convergence of metric and geometric properties of polyhedral surfaces",
journal = "Geometriae Dedicata",
volume = "123",
number = "1",
pages = "89--112",
year = "2006",
publisher = "Springer"
}
@article{dgd-a12-2006-quadrisec,
author = "Denne, Elizabeth and Diao, Yuanan and Sullivan, John M.",
title = "Quadrisecants give new lower bounds for the ropelength of a knot",
journal = "Geom. Topol.",
volume = "10",
pages = "1--26",
year = "2006",
arxiv = "math/0408026"
}
@article{dgd-b12-2005-survey,
author = "Krauskopf, B. and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J. and Vladimirsky, A. and Dellnitz, M. and Junge, O.",
title = "A survey of methods for computing (un)stable manifolds of vector fields",
journal = "Internat. J. Bifur. Chaos Appl. Sci. Engrg.",
fjournal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",
volume = "15",
year = "2005",
number = "3",
pages = "763--791",
issn = "0218-1274",
doi = "10.1142/S0218127405012533"
}
@article{dgd-c05-2005-anisotropic,
author = "Lange, Carsten and Polthier, Konrad",
title = "Anisotropic smoothing of point sets",
journal = "Computer Aided Geometric Design",
volume = "22",
number = "7",
pages = "680--692",
year = "2005",
publisher = "Elsevier"
}
@article{dgd-c03-2005-multi,
author = "Labate, D. and Lim, W-Q. and Kutyniok, G. and Weiss, G.",
editor = "San Diego, Ca",
chapter = "Wavelets XI",
citeulike-article-id = "4187199",
citeulike-linkout-0 = "http://en.wikipedia.org/wiki/Bandelet\\_(computer\\_science)",
journal = "SPIE Proc. 5914, SPIE, Bellingham",
keywords = "tesis\\_mrc",
pages = "254--262",
posted-at = "2009-03-17 17:59:31",
priority = "2",
title = "Sparse multidimensional representation using shearlets",
url = "http://en.wikipedia.org/wiki/Bandelet\_(computer\_science)",
year = "2005"
}
@article{dgd-b12-2004-rigorous,
author = "Day, S. and Junge, O. and Mischaikow, K.",
title = "A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems",
journal = "SIAM J. Appl. Dyn. Syst.",
fjournal = "SIAM Journal on Applied Dynamical Systems",
volume = "3",
year = "2004",
number = "2",
pages = "117--160",
doi = "10.1137/030600210"
}
@inproceedings{dgd-c06-2004-proving,
author = "Kortenkamp, U. and Richter-Gebert, J.",
booktitle = "Proceedings of the Mathematical User Interfaces Workshop",
title = "Using automatic theorem proving to improve the usability of geometry software",
year = "2004"
}
@incollection{dgd-c04-2003-reconstruction,
author = "Edelsbrunner, Herbert",
editor = "Aronov, Boris and Basu, Saugata and Pach, János and Sharir, Micha",
booktitle = "Discrete and Computational Geometry",
citeulike-article-id = "12723585",
citeulike-linkout-0 = "http://dx.doi.org/10.1007/978-3-642-55566-4\\_17",
citeulike-linkout-1 = "http://link.springer.com/chapter/10.1007/978-3-642-55566-4\\_17",
doi = "10.1007/978-3-642-55566-4\_17",
keywords = "computational-geometry, computational-topology",
pages = "379--404",
posted-at = "2013-10-16 16:30:02",
priority = "2",
publisher = "Springer Berlin Heidelberg",
series = "Algorithms and Combinatorics",
title = "Surface Reconstruction by Wrapping Finite Sets in Space",
volume = "25",
year = "2003"
}
@article{dgd-c04-2002-topo,
author = "Edelsbrunner, Herbert and Letscher, David and Zomorodian, Afra",
citeulike-article-id = "693232",
citeulike-linkout-0 = "http://dx.doi.org/10.1007/s00454-002-2885-2",
citeulike-linkout-1 = "http://www.springerlink.com/content/j10w0wjj2k9q1fpk",
day = "1",
doi = "10.1007/s00454-002-2885-2",
issn = "01795376",
journal = "Discrete \& Computational Geometry",
keywords = "computational-topology",
month = "November",
number = "4",
pages = "511--533",
posted-at = "2008-11-04 11:51:36",
priority = "2",
publisher = "Springer New York",
title = "Topological Persistence and Simplification",
volume = "28",
year = "2002"
}
@inproceedings{dgd-c06-2002-complexity,
author = "Richter-Gebert, J. and Kortenkamp, U.",
editor = "Rojas, M. and Cucker, F.",
address = "Singapore",
booktitle = "Foundations of Computational Mathematics: Proceedings of the Smalefest 2000, Hong Kong, July 13-17, 2000",
pages = "355-404",
publisher = "World Scientific",
title = "Complexity issues in dynamic geometry",
year = "2002"
}
@incollection{dgd-II-2002-eg,
author = "Joswig, Michael and Polthier, Konrad",
editor = "Borwein, J. and Morales, M. and Polthier, K. and Rodrigues, J.F.",
booktitle = "Multimedia Tools for Communicating Mathematics",
date-added = "2015-09-11 13:02:56 +0000",
date-modified = "2015-09-11 13:03:14 +0000",
pages = "165-190",
publisher = "Springer",
title = "EG-Models - a New Journal for Digital Geometry Models",
year = "2002"
}
@article{dgd-a12-2002-minimum,
author = "Cantarella, Jason and Kusner, Robert B. and Sullivan, John M.",
title = "On the minimum ropelength of knots and links",
journal = "Invent. Math.",
volume = "150",
pages = "257--286",
year = "2002",
arxiv = "math/0103224"
}
@incollection{dgd-b12-2002-set,
author = "Dellnitz, Michael and Junge, Oliver",
title = "Set oriented numerical methods for dynamical systems",
booktitle = "Handbook of dynamical systems, Vol. 2",
pages = "221--264",
publisher = "North-Holland, Amsterdam",
year = "2002",
doi = "10.1016/S1874-575X(02)80026-1"
}
@incollection{dgd-c06-2001-grundlagen,
author = "Kortenkamp, U. and Richter-Gebert, J.",
editor = "Elschenbroich, H.-J. and Gawlick, Th. and Henn, H.-W.",
address = "Hildesheim",
booktitle = "Zeichnung - Figur - Zugfigur: Mathematische und didaktische Aspekte Dynamischer Geometrie-Software",
journal = "Zeichnung--Figur--Zugfigur",
pages = "123--145",
publisher = "Franzbecker",
title = "Grundlagen Dynamischer Geometrie",
year = "2001"
}
@article{dgd-a05-2001-quatern,
author = "Ferus, D. and Leschke, K. and Pedit, F. and Pinkall, U.",
journal = "Inventiones Mathematicae",
number = "3",
pages = "507--593",
title = "Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori",
volume = "146",
year = "2001",
arxiv = "math/0012238"
}
@incollection{dgd-b12-2001-algorithms,
author = "Dellnitz, Michael and Froyland, Gary and Junge, Oliver",
title = "The algorithms behind GAIO-set oriented numerical methods for dynamical systems",
booktitle = "Ergodic theory, analysis, and efficient simulation of dynamical systems",
pages = "145--174, 805--807",
publisher = "Springer, Berlin",
year = "2001",
doi = "10.1007/978-3-642-56589-2"
}
@incollection{dgd-a11-2000-polymake,
author = "Gawrilow, Ewgenij and Joswig, Michael",
title = "polymake: a framework for analyzing convex polytopes",
booktitle = "Polytopes - combinatorics and computation (Oberwolfach, 1997)",
series = "DMV Sem.",
volume = "29",
pages = "43--73",
publisher = "Birkhäuser",
address = "Basel",
year = "2000",
mrclass = "52B55 (68U05)",
mrnumber = "MR1785292 (2001f:52033)",
doi = "10.1007/978-3-0348-8438-9\_2"
}
@incollection{dgd-a05-1999-physics,
author = "Bobenko, A. and Pinkall, U.",
booktitle = "Discrete integrable geometry and physics",
pages = "3-58",
publisher = "Oxford Univ. Press",
series = "Oxford Lecture Ser. Math. Appl.",
title = "Discretization of surfaces and integrable systems",
volume = "16",
year = "1999",
url = "http://page.math.tu-berlin.de/\textasciitilde bobenko/papers/1999\_Bob\_Pin.pdf"
}
@article{dgd-b12-1999-approximation,
author = "Dellnitz, Michael and Junge, Oliver",
title = "On the approximation of complicated dynamical behavior",
journal = "SIAM J. Numer. Anal.",
fjournal = "SIAM Journal on Numerical Analysis",
volume = "36",
year = "1999",
number = "2",
pages = "491--515",
issn = "0036-1429",
doi = "10.1137/S0036142996313002"
}
@article{dgd-a05-1998-bonnet,
author = "Kamberov, G. and Pedit, F. and Pinkall, U.",
doi = "10.1215/S0012-7094-98-09219-5",
fjournal = "Duke Mathematical Journal",
journal = "Duke Math. J.",
month = "April",
number = "3",
pages = "637--644",
publisher = "Duke University Press",
title = "Bonnet pairs and isothermic surfaces",
volume = "92",
year = "1998",
arxiv = "dg-ga/9610006"
}
@article{dgd-b12-1997-exploring,
author = "Dellnitz, Michael and Hohmann, Andreas and Junge, Oliver and Rumpf, Martin",
title = "Exploring invariant sets and invariant measures",
journal = "Chaos",
fjournal = "Chaos. An Interdisciplinary Journal of Nonlinear Science",
volume = "7",
year = "1997",
number = "2",
pages = "221--228",
issn = "1054-1500",
mrclass = "58F11 (65L06)",
mrnumber = "1477552",
doi = "10.1063/1.166223"
}
@article{dgd-c04-1995-union,
author = "Edelsbrunner, H.",
booktitle = "Discrete \& Computational Geometry",
citeulike-article-id = "1724351",
citeulike-linkout-0 = "http://dx.doi.org/10.1007/bf02574053",
citeulike-linkout-1 = "http://link.springer.com/article/10.1007/BF02574053",
day = "23",
doi = "10.1007/bf02574053",
journal = "Discrete and Computational Geometry",
keywords = "computational-geometry",
month = "December",
number = "1",
pages = "415--440",
posted-at = "2013-10-03 22:30:11",
priority = "2",
publisher = "Springer-Verlag",
title = "The union of balls and its dual shape",
volume = "13",
year = "1995"
}
@article{dgd-a05-1993-minimal,
author = "Pinkall, U. and Polthier, K.",
journal = "Experimental Mathematics",
number = "1",
pages = "15--36",
title = "Computing discrete minimal surfaces and their conjugates",
volume = "2",
year = "1993",
url = "http://www.cs.jhu.edu/\textasciitilde misha/Fall09/Pinkall93.pdf"
}
@book{dgd-b10-2019-pde,
author = "Kuehn, Christian",
title = "PDE Dynamics",
series = "Mathematical Modeling and Computation",
volume = "23",
publisher = "Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA",
year = "2019",
pages = "xiii+245",
isbn = "978-1-61197-565-9; 978-1-61197-566-6",
url = "https://my.siam.org/Store/Product/viewproduct/?ProductId=30604306"
}
@book{zbMATH06823434,
author = "Volland, Dominic",
title = "A Discrete Hilbert Transform with Circle Packings",
isbn = "978-3-658-20456-3/pbk; 978-3-658-20457-0/ebook",
pages = "xi + 102",
year = "2017",
booktitle = "BestMasters Series",
publisher = "Springer Spektrum, Weisbaden",
doi = "10.1007/978-3-658-20457-0"
}
@book{dgd-b07-2015-mp3,
author = "Petrera, Matteo",
title = "Mathematical Physics III - Integrable Systems of Classical Mechanics. Lecture Notes",
publisher = "Logos Verlag Berlin GmbH",
year = "2015",
isbn = "978-3-8325-3950-4",
url = "http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3950\&lng=deu\&id="
}
@book{dgd-b10-multiple,
author = "Kuehn, Christian",
title = "Multiple time scale dynamics",
series = "Applied Mathematical Sciences",
volume = "191",
publisher = "Springer, Cham",
year = "2015",
pages = "xiv+814",
isbn = "978-3-319-12315-8; 978-3-319-12316-5",
doi = "10.1007/978-3-319-12316-5"
}
@book{dgd-b07-2014-mp2,
author = "Petrera, Matteo",
title = "Mathematical Physics II: Classical Statistical Mechanics. Lecture Notes",
publisher = "Logos Verlag Berlin GmbH",
year = "2014",
isbn = "978-3-8325-3719-7",
url = "http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3719\&lng=deu\&id="
}
@proceedings{dgd-a04-proceedings,
author = "Wakayama, Masato and Anderssen, Robert S. and Cheng, Jin and Fukumoto, Yasuhide and McKibbin, Robert and Polthier, Konrad and Takagi, Tsuyoshi and Toh, Kim-Chuan (Editors)",
editor = "Wakayama, Masato and Anderssen, Robert S. and Cheng, Jin and Fukumoto, Yasuhide and McKibbin, Robert and Polthier, Konrad and Takagi, Tsuyoshi and Toh, Kim-Chuan",
title = "The Impact of Applications on Mathematics. Proceedings of the Forum of Mathematics for Industry 2013",
publisher = "Springer",
address = "Japan",
year = "2014",
isbn = "978-4-431-54906-2",
keywords = "Agriculture Processing Modelling, Cryptography Research, IMI, Mathematical Modelling, Medical Modelling, MfI, Scientific Computation"
}
@book{dgd-pr-2014-book,
author = "Ziegler, Günter M. and Loos, Andreas",
title = "ZEIT-Akademie Mathematik",
publisher = "Zeitverlag Gerd Bucerius",
address = "Hamburg",
year = "2014",
note = "4 DVDs mit Begleitheft (95 Seiten)"
}
@book{dgd-a04-immagini,
author = "Glaeser, Georg and Polthier, Konrad",
title = "Immagini Della Matematica",
publisher = "Springer",
address = "Italia",
year = "2013",
isbn = "978-88-6030-619-7"
}
@book{dgd-b07-2013-mp1,
author = "Petrera, Matteo",
title = "Mathematical Physics I: Dynamical Systems and Classical Mechanics. Lecture Notes",
publisher = "Logos Verlag Berlin GmbH",
year = "2013",
isbn = "978-3-8325-3569-8",
url = "http://www.logos-verlag.de/cgi-bin/engbuchmid?isbn=3569\&lng=deu\&id="
}
@Book{dgd-a11-2013-polyhedral,
author = "Joswig, Michael and Theobald, Thorsten",
title = "Polyhedral and algebraic methods in computational geometry",
series = "Universitext",
note = "Revised and updated translation of the 2008 German original",
publisher = "Springer",
address = "London",
year = "2013",
pages = "x+250",
isbn = "978-1-4471-4816-6; 978-1-4471-4817-3",
mrclass = "51-01 (13P10 52-01 52B55)",
mrnumber = "2905853",
doi = "10.1007/978-1-4471-4817-3"
}
@book{dgd-a04-2013-surprenantes,
author = "Glaeser, Georg and Polthier, Konrad",
title = "Surprenantes images de mathématiques",
publisher = "Belin",
note = "Janie Molard(Übersetzerin)",
year = "2013",
isbn = "978-27-0115-695-8"
}
@book{dgd-c06-2012-cindy,
author = "Richter-Gebert, J. and Kortenkamp, U.",
publisher = "Springer",
title = "The Cinderella.2 Manual: Working with The Interactive Geometry Software",
year = "2012",
url = "https://www.springer.com/de/book/9783540349242"
}
@book{dgd-a04-2012-wiskunde,
author = "Glaeser, Georg and Polthier, Konrad",
title = "Wiskunde in beeld",
publisher = "Uitgevrij Veen Magazines BV",
year = "2012",
adress = "Nederlands",
isbn = "978-90-8571-250-3"
}
@book{dgd-c06-2011-perspect,
author = "Richter-Gebert, J.",
publisher = "Springer",
title = "Perspectives on Projective Geometry: A Guided Tour Through Real and Complex Geometry",
year = "2011"
}
@book{dgd-a04-bilder-der-mathematik,
author = "Glaeser, Georg and Polthier, Konrad",
title = "Bilder der Mathematik",
publisher = "Springer Spektrum",
edition = "2",
note = "Nachdruck 2014",
year = "2010",
isbn = "978-3-662-43416-1"
}
@phdthesis{dgd-A02-2018-09-CMC,
author = "König, Benno",
title = "A Geometric Construction for the Associated Family of S–Isothermic CMC Surfaces",
year = "2018",
month = "September",
url = "http://mediatum.ub.tum.de?id=1368384",
note = "Dissertation",
school = "Technische Universität München"
}
@phdthesis{dgd-z02-2018-non-standard,
author = "Strobel, Michael",
title = "Non-standard Analysis in Projective Geometry",
year = "2018",
school = "Technische Universität München",
url = "http://mediatum.ub.tum.de/1444961"
}
@phdthesis{dgd-z02-2017-07-fundamental,
author = "Schaar, Katharina",
title = "Fundamental Properties of Phirotopes",
note = "Dissertation",
year = "2017",
month = "July",
url = "http://mediatum.ub.tum.de/603815?show\_id=1341483",
school = "Technische Universität München"
}
@PhdThesis{dgd-a03-2016-Brinkmann-diss,
author = "Brinkmann, Philip",
title = "f-Vector Spaces of Polytopes, Spheres, and Eulerian Lattices",
school = "FU Berlin",
year = "2016",
month = "June",
note = "vii+132 pages",
urn = "urn:nbn:de:kobv:188-fudissthesis000000103149-2",
url = "http://www.diss.fu-berlin.de/diss/receive/FUDISS\_thesis\_000000103149"
}
@PhdThesis{dgd-a01-2016-sechelman-diss,
author = "Sechelmann, Stefan",
title = "Variational Methods for Discrete Surface Parameterization. Applications and Implementation",
notes = "Doctoral thesis",
school = "TU Berlin",
year = "2016",
month = "June",
url = "http://dx.doi.org/10.14279/depositonce-5415"
}
@phdthesis{dgd-b01-2016-04-phd-kranich,
author = "Kranich, Stefan",
title = "Continuity in Dynamic Geometry: An Algorithmic Approach",
year = "2016",
month = "April",
school = "TU München",
url = "http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:91-diss-20160418-1281075-1-5"
}
@PhdThesis{dgd-a03-2016-Firsching-diss,
author = "Firsching, Moritz",
title = "Optimization Methods in Discrete Geometry",
school = "FU Berlin",
year = "2016",
month = "January",
note = "85 pages",
url = "http://www.diss.fu-berlin.de/diss/receive/FUDISS\_thesis\_000000101268"
}
@phdthesis{dgd-b06-2015-10-automatic,
author = "Keller, J.",
title = "Quantum Dynamics on Potential Energy Surfaces-Simpler States and Simpler Dynamics",
school = "TU München",
year = "2015",
month = "October"
}
@phdthesis{dgd-b09-2015-10,
author = "Osberger, H.",
title = "Fully variational Lagrangian discretizations for second and fourth order evolution equations",
school = "Technische Universität München",
year = "2015",
month = "September",
type = "Dissertation",
url = "https://mediatum.ub.tum.de/1271651"
}
@phdthesis{dgd-b03-2015-07-Automatic,
author = "Wechslberger, G.",
title = "Automatic Contour Deformation of Riemann-Hilbert Problems",
school = "TU Munich",
year = "2015",
month = "July"
}
@phdthesis{dgd-C07-2013-Complex,
author = "Knöppel, F.",
title = "Complex Line Bundles over Simplicial Complexes",
school = "TU Berlin",
year = "2015",
type = "Dissertation"
}
@phdthesis{dgd-a01-2014-phd-guenther,
author = "Günther, Felix",
title = "Discrete Riemann surfaces and integrable systems",
year = "2014",
month = "September",
school = "TU Berlin",
urn = "urn:nbn:de:kobv:83-opus4-56591",
url = "http://opus4.kobv.de/opus4-tuberlin/frontdoor/index/index/docId/5659",
referee = "Alexander I. Bobenko and Dmitry Chelkak",
advisor = "Alexander I. Bobenko"
}
@phdthesis{dgd-a08-2014-phd,
author = "Huhnen-Venedey, Emanuel",
title = "Cyclidic and hyperbolic nets: A piecewise smooth discretization of orthogonal and asymptotic nets in discrete differential geometry",
school = "TU Berlin",
year = "2014",
advisor = "Alexander I. Bobenko"
}
@PhdThesis{dgd-a07-2014-config,
author = "Atariah, Dror",
title = "Parameterizations in the Configuration Space and Approximations of Related Surfaces",
school = "Freie Universität Berlin",
year = "2014",
url = "http://www.diss.fu-berlin.de/diss/receive/FUDISS\_thesis\_000000096803"
}
@phdthesis{dgd-a01-2014-phd-pavl,
author = "Pavljukevich, Tatiana",
title = "Spinor representation of Bryant surfaces with catenoidal and smooth ends",
school = "TU Berlin",
year = "2014",
advisor = "Alexander I. Bobenko"
}
@phdthesis{dgd-b08-2013-phd,
author = "Au Yeung, Yuen",
title = "Crystalline Order, Surface Energy Densities and Wulff Shapes: Emergence from Atomistic Models",
type = "Dissertation",
school = "Technische Universität München",
address = "München",
year = "2013",
url = "http://mediatum.ub.tum.de/node?id=1142127",
referee = "Gero Friesecke and Georg Dolzmann and Irene Fonseca",
advisor = "Gero Friesecke"
}
@mastersthesis{c05-skrodzki2014neighborhood,
author = "Skrodzki, Martin",
title = "Neighborhood Computation of Point Set Surfaces",
school = "Freie University Berlin",
year = "2014"
}
@mastersthesis{dgd-a05-2015-09-Infinitesimal,
author = "Lam, W.Y.",
title = "Infinitesimal conformal deformations of triangulated surfaces",
school = "Technische Universität Berlin",
year = "2013"
}
@inproceedings{dgd-c05-2019-variational,
author = "Skrodzki, Martin and Zimmermann, Eric and Polthier, Konrad",
title = "Variational Shape Approximation of Point Set Surfaces",
booktitle = "IGS 2019 International Geometry Summit - Poster Proceedings",
pages = "54--57",
year = "2019",
url = "https://drive.google.com/file/d/1eq3LDDOtpFH77fXsv37ugk7ORdf5k3e1/view"
}
@misc{dgd-c02-2018-11-One,
author = "Sara Krause-Solberg, Olga Graf, Felix Krahmer",
title = "One-bit sigma-delta modulation on a closed loop",
note = "poster",
year = "2018",
month = "november"
}
@misc{dgd-C04-2018-05-Mayer-Vietoris,
author = "Fluhr, Benedikt",
title = "The Mayer-Vietoris Pyramid Sheaf-theoretically",
note = "Poster Session: Bridging Statistics and Sheaves at IMA, Minneapolis",
year = "2018",
month = "May",
url = "http://bfluhr.com/bucket/poster-ima.pdf"
}
@misc{dgd-a08-2014-09-nurbsposter,
author = "Seidel, Christoph and Rörig, Thilo and Sechelmann, Stefan",
title = "Planar quad layout on NURBS-surfaces from symmetric conjugate curves",
note = "Presented at Advances in Architectural Geometry 2014",
year = "2014",
month = "September"
}
@misc{dgd-c00-2015-cindyjs,
author = "Kortenkamp, Ulrich and Kranich, Stefan and Richter-Gebert, Jürgen and Strobel, M. and von Gagern, Martin and Wurster, J.",
url = "http://www.science-to-touch.com/DGD",
title = "CindyJS: A growing collection of interactive demonstrations",
year = "2015"
}