Discrete Quadratic Curvature Energies

Tobias Luginsland, Leibniz Universität Hannover, Seminar
01/2008

A family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space will be presented. It will be shown that these linear models for discrete mean curvature from which bending energies are assembled are very efficient. Under the assumption of isometric surface deformations it is also shown the formulated energies are quadratic in surface positions. The corresponding linear energy gradients and constant energy Hessians constitute an efficient model for computing bending forces and their derivatives, enabling fast time-integration of cloth dynamics with a two- to three-fold net speedup over existing nonlinear methods.

Kontakt: Guido Böttcher