Optimizing cubature for efficient integration of subspace deformations

@article{An2008OptimizingCF,
  title={Optimizing cubature for efficient integration of subspace deformations},
  author={Steven S. An and Theodore Kim and Doug L. James},
  journal={ACM transactions on graphics},
  year={2008},
  volume={27 5},
  pages={165}
}
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… CONTINUE READING
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Introduction to Numerical Analysis

  • F. B. HILDEBRAND
  • McGraw-Hill, New York.
  • 1956
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