Approximation of the Willmore energy by a discrete geometry model

2020/07/21 by Gladbach, Peter, Olbermann, Heiner
#49Q10 #53A70 #74K20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.10742

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 Γ-convergence. Variants of this discrete energy have been discussed before in the computer graphics literature.

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