C05
Computational and structural aspects of point set surfaces
Implementation of Manifold Structures in Point Clouds
Point set surfaces have a more than 15 year long history in geometry processing and computer graphics as they naturally arise in 3D-data acquisition processes. A guiding principle of these algorithms is the direct processing of raw scanning data without prior meshing. However, a thorough investigation of a differential geometric representation of point set surfaces and their properties is not available. Inspired by the notion of manifolds, we develop new concepts for meshless charts and atlases and use these to establish sound formulations of discrete differential operators on point set surfaces. On this solid basis of meshless differential operators, we develop novel algorithms for important geometry processing tasks, such as feature recognition, filtering operations, and surface parameterization.
- Group: C. Computation
- Principal Investigator: Prof. Dr. Konrad Polthier
- Investigators: Henriette-Sophie Lipschütz, Martin Skrodzki, Eric Zimmermann
- University: FU Berlin
- Term: since 2016