Veranstaltung

Vortrag
Geometric variational principles on simplicial surfaces. Discrete Laplace-Beltrami operator and discrete Willmore flow.
Prof. Dr. Alexander Bobenko (TU)
5.12.2005, 15:30 Uhr – 16:30 Uhr

A discrete Willmore energy is introduced for simplicial surfaces. This energy is invariant with respect to Moebius transformations. The associated geometric flow and discrete Willmore surfaces are studied. We define also a discrete Laplace-Beltrami operator for simplicial surfaces. It depends only on the intrinsic geometry of the surface and its weights are positive. Our Laplace operator is similar to the one defined by Pinkall and Polthier (the so called cotan formula'') except that it is based on the intrinsic Delaunay triangulations of the simplicial surfaces.