Discrete quadratic curvature energies

DOI10.1016/j.cagd.2007.07.006zbMath1171.65358OpenAlexW2101165370WikidataQ125567522 ScholiaQ125567522MaRDI QIDQ733447

David Harmon, Denis Zorin, Eitan Grinspun, Max Wardetzky, Miklós Bergou

Publication date: 16 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.07.006

zbMATH Keywords

thin platesnon-conforming finite elementsdiscrete Laplace operatorWillmore flowbending energycloth simulationdiscrete mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (17)

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Uses Software

• PARDISO
• PETSc
• Surface Evolver

Cites Work

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• The Surface Evolver
• Minimizing the Squared Mean Curvature Integral for Surfaces in Space Forms
• Restricted delaunay triangulations and normal cycle
• A Global Invariant of Conformal Mappings in Space
• Discrete Riemann surfaces and the Ising model.
• Geometric fairing of irregular meshes for free-form surface design

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