Sparse Meshless Models of Complex Deformable Solids
Résumé
A new method to simulate deformable objects with heterogeneous material properties and complex geometries using an arbitrary num- ber of control frames is presented. Given a volumetric map of the material properties of an object and a number of control nodes, a distribution of the nodes is computed automatically, as well as the associated shape functions. Reference frames are attached to the nodes, and deformations are applied to the object using lin- ear blend skinning. A continuum mechanics formulation is de- rived from the displacements and the material properties. We in- troduce novel material-aware shape functions in place of the tradi- tional radial basis functions used in meshless frameworks. These allow coarse deformation functions to very efficiently resolve non- uniform stiffnesses. Complex models can thus be simulated at high frame rates using a small number of control nodes.
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