Discrete Uniformization of Finite Branched Covers over the Riemann Sphere via Hyper-ideal Circle Patterns

Alexander I. Bobenko, Nikolay Dimitrov, Stefan Sechelmann

Description

With the help of hyper-ideal circle pattern theory, a discrete version of the classical uniformization theorems for surfaces represented as finite branched covers over the Riemann sphere as well as compact polyhedral surfaces with non-positive curvature was developed.

References

  • A. I. Bobenko, N. Dimitrov, and S. Sechelmann.
    Discrete uniformization of finite branched covers over the Riemann sphere via hyper-ideal circle patterns.
    preprint, 2015.
    arXiv:1510.04053.

Authors

Prof. Dr. Alexander I. Bobenko   +

Projects: A01, A02, B02, C01, CaP, Z
University: TU Berlin, Institut für Mathematik, MA 881
Address: Straße des 17. Juni 136, 10623 Berlin, GERMANY
Tel: +49 30 31424655
E-Mail: bobenko[at]math.tu-berlin.de
Website: http://page.math.tu-berlin.de/~bobenko/

Dr. Nikolay Dimitrov   +

University: TU Berlin

Dr. Stefan Sechelmann   +

University: TU Berlin
E-Mail: sechel[at]math.tu-berlin.de

See also

$z^a$ Circle Pattern
Jürgen Richter-Gebert, Jan Techter
Cinderella models images
Shape from Metric
Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, Peter Schröder
videos images
Lawson's Surface Uniformization
Alexander I. Bobenko, Stefan Sechelmann, Boris Springborn
images other
Checkerboard Incircular Nets in Space Forms
Alexander I. Bobenko, Carl O. R. Lutz, Jan Techter
3D models videos images