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Approximation of the Willmore energy by a discrete geometry model (2007.10742v2)
Published 21 Jul 2020 in math.AP and math.DG
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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