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Discrete Quadratic Bending Energies

“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.”

Discrete Quadratic Bending Energies

Admittedly a bit of a stretch as a physics paper, but a primary application of the energies they describe is in accelerating the calculation of bending forces for cloth simulation. (And we’re in a bit of a dry spell as far as new physics papers…)

Posted by christopherbatty on March 29th, 2007 Posted in Cloth
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