Fast Complementary Dynamics via Skinning Eigenmodes
Abstract
We propose a reducedspace elastodynamic solver that is well suited for augmenting rigged character animations with secondary motion. At the core of our method is a novel deformation subspace based on Linear Blend Skinning that overcomes many of the shortcomings prior subspace methods face. Our skinning subspace is parameterized entirely by a set of scalar weights, which we can obtain through a small, materialaware and rigsensitive generalized eigenvalue problem. The resulting subspace can easily capture rotational motion and guarantees that the resulting simulation is rotation equivariant. We further propose a simple localglobal solver for linear corotational elasticity and propose a clustering method to aggregate pertetrahedra nonlinear energetic quantities. The result is a compact simulation that is fully decoupled from the complexity of the mesh.
 Publication:

arXiv eprints
 Pub Date:
 March 2023
 DOI:
 10.48550/arXiv.2303.11886
 arXiv:
 arXiv:2303.11886
 Bibcode:
 2023arXiv230311886B
 Keywords:

 Computer Science  Graphics;
 I.3.2;
 I.3.5;
 I.3.6;
 I.3.7;
 I.3.8
 EPrint:
 20 pages, 24 figures