Approximation of the Willmore energy by a discrete geometry model
Approximation of the Willmore energy by a discrete geometry model
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DOI：
10.1515/acv-2020-0094
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发表时间：
2020-07
影响因子：
1.7
通讯作者：
Peter Gladbach;H. Olbermann
中科院分区：
文献类型：
--
作者：
Peter Gladbach;H. Olbermann
本文证明了按离散微分几何的精神定义的三角剖分曲面的某个离散能量在Γ-收敛意义下收敛于Willmore能量。在计算机图形学文献中已经讨论过这种离散能量的变体。
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.