Optimizing Cubature for Efficient Integration of Subspace Deformations
Identifieur interne : 000F06 ( Pmc/Corpus ); précédent : 000F05; suivant : 000F07Optimizing Cubature for Efficient Integration of Subspace Deformations
Auteurs : Steven S. An ; Theodore Kim ; Doug L. JamesSource :
- ACM transactions on graphics [ 0730-0301 ] ; 2009.
Abstract
We propose an efficient scheme for evaluating nonlinear subspace forces (and Jacobians) associated with subspace deformations. The core problem we address is efficient integration of the subspace force density over the 3D spatial domain. Similar to Gaussian quadrature schemes that efficiently integrate functions that lie in particular polynomial subspaces, we propose cubature schemes (multi-dimensional quadrature) optimized for efficient integration of force densities associated with particular subspace deformations, particular materials, and particular geometric domains. We support generic subspace deformation kinematics, and nonlinear hyperelastic materials. For an
I.6.8 [Simulation and Modeling]: Types of Simulation—Animation, I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Physically based modeling G.1.4 [Mathematics of Computing]: Numerical Analysis—Quadrature and Numerical Differentiation
Url:
DOI: 10.1145/1409060.1409118
PubMed: 19956777
PubMed Central: 2731311
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