Approximation of the Willmore energy by a discrete geometry model
Analysis of PDEs
2021-06-14 v2 Differential Geometry
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 -convergence. Variants of this discrete energy have been discussed before in the computer graphics literature.
Keywords
Cite
@article{arxiv.2007.10742,
title = {Approximation of the Willmore energy by a discrete geometry model},
author = {Peter Gladbach and Heiner Olbermann},
journal= {arXiv preprint arXiv:2007.10742},
year = {2021}
}
Comments
29 pages, 9 figures. v2: Minor revisions, references added