Title of article :
Discrete quadratic curvature energies Original Research Article
Author/Authors :
Max Wardetzky ، نويسنده , , Mikl?s Bergou، نويسنده , , David Harmon، نويسنده , , Denis Zorin، نويسنده , , Eitan Grinspun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Pages :
20
From page :
499
To page :
518
Abstract :
We present a family of discrete isometric bending models (IBMs) for triangulated surfaces in 3-space. These models are derived from an axiomatic treatment of discrete Laplace operators, using these operators to obtain linear models for discrete mean curvature from which bending energies are assembled. Under the assumption of isometric surface deformations we show that these energies are quadratic in surface positions. The corresponding linear energy gradients and constant energy Hessians constitute an efficient model for computing bending forces and their derivatives, enabling fast time-integration of cloth dynamics with a two- to three-fold net speedup over existing nonlinear methods, and near-interactive rates for Willmore smoothing of large meshes.
Keywords :
Cloth simulation , Thin plates , Willmore flow , Bending energy , Discrete mean curvature , Discrete Laplace operator , Non-conforming finite elements
Journal title :
Computer Aided Geometric Design
Serial Year :
2007
Journal title :
Computer Aided Geometric Design
Record number :
1139319
Link To Document :
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