Approximation of the Willmore energy by a discrete geometry model

Gladbach, Peter;Olbermann, Heiner
(2023) Advances in Calculus of Variations — Vol. 16, n° 2, p. 403-424 (2023)

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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 Γ-convergence. Variants of this discrete energy have been discussed before in the computer graphics literature.
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Gladbach, P., & Olbermann, H. (2023). Approximation of the Willmore energy by a discrete geometry model. Advances in Calculus of Variations, 16(2), 403-424. https://hdl.handle.net/2078.5/236502 (Original work published 2023)