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Discretize Bending Energies.pdf

wardetzky2007dqb.pdf
Preview of discretize bending energies
🔗 Source: cims.nyu.edu
📊 Size: 1.22 MB
👤 Author: Max Wardetzky
⬇️ Downloads: 128

Summary

Discrete Quadratic Curvature Energies are presented for triangulated surfaces in 3-space, derived from an axiomatic treatment of discrete Laplace operators. The models are shown to be quadratic in surface positions under isometric deformations, with linear energy gradients and constant energy Hessians, enabling efficient computation of bending forces and fast time-integration of cloth dynamics and Willmore smoothing of large meshes. The approach is based on discrete isometric bending models (IBMs) that satisfy properties of invariance under rigid motions and uniform scaling, and are exact for isometric deformations. The discrete IBMs are derived from discrete Laplace-Beltrami operators and mass matrices, and are shown to fulfill energy axioms (E1)–(E4) if the discrete Laplacians satisfy properties (L1)–(L4) and the mass matrices satisfy properties (M1)–(M3).

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Description

Discrete Quadratic Curvature Energies are presented for triangulated surfaces in 3-space, derived from an axiomatic treatment of discrete Laplace operators.

Technical Information

  • File Format: PDF
  • File Size: 1.22 MB
  • Pages: 29
  • Language: EN
  • Author: Max Wardetzky
  • Total Downloads: 128
  • Last Updated: 5 days ago

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