Calculus of Variations and Geometric Measure Theory

P. Gladbach - H. Olbermann

Approximation of the Willmore energy by a discrete geometry model

created by olbermann on 21 Jul 2024

[BibTeX]

preprint

Inserted: 21 jul 2024

Year: 2020

ArXiv: 2007.10742 PDF

Abstract:

We prove that a certain discrete energy for triangulated surfaces, defined in the spirit of discrete differential geometry, converges to the Willmore energy in the sense of $\Gamma$-convergence. Variants of this discrete energy have been discussed before in the computer graphics literature.