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Fast Complementary Dynamics

dgp.toronto.edu · 453 words · saved by 1 readers

We propose a reduced-space elasto-dynamic 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, material-aware and rig-sensitive 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 local-global solver for linear co-rotational elasticity and propose a clustering method to aggregate per-tetrahedra non-linear energetic quantities. The result is a compact simulation that is fully decoupled from the complexity of the mesh. We add secondary motion to rig animations in real-time by using a subspace for the physics simulation. We propose a linear blend s

Fast Complementary Dynamics via Skinning Eigenmodes Otman Benchekroun1, Jiayi Eris Zhang2, Siddhartha Chaudhuri3, Eitan Grinspun1, Yi Zhou3, Alec Jacobson 1, 3 1University of Toronto , 2Stanford University, 3Adobe Research SIGGRAPH North America 2023 Abstract We propose a reduced-space elasto-dynamic 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…

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