Approximation of the Willmore energy by a discrete geometry model

Peter Gladbach; Heiner Olbermann

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arXiv · 2007.10742

Approximation of the Willmore energy by a discrete geometry model

Peter Gladbach·Heiner Olbermann

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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.

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Peter Gladbach, Heiner Olbermann. 2020-07-21. Approximation of the Willmore energy by a discrete geometry model. https://arxiv.org/abs/2007.10742

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