Sparse meshless models of complex deformable solids

François Faure, Benjamin Gilles, Guillaume Bousquet, Dinesh K. Pai
2011 ACM Transactions on Graphics  
a) T-Bone Steak (b) Stiffness (c) Discretization (d) Compliance distance (e) Deformation Figure 1: A taste of the method. The T-bone steak (a) has a rigid bone and softer muscle and fat, as seen in the volumetric stiffness map (b). Our method can simulate it using only three moving frames and ten integration points (c), running at 500 Hz with implicit integration on an ordinary PC. The frame placement is automatically generated using a novel compliance-scaled distance (d). Observe that when one
more » ... side of the meat is pulled (e), the bone remains rigid and the two meaty parts are correctly decoupled. Abstract A new method to simulate deformable objects with heterogeneous material properties and complex geometries is presented. Given a volumetric map of the material properties and an arbitrary number of control nodes, a distribution of the nodes is computed automatically, as well as the associated shape functions. Reference frames attached to the nodes are used to apply skeleton subspace deformation across the volume of the objects. A continuum mechanics formulation is derived from the displacements and the material properties. We introduce novel material-aware shape functions in place of the traditional radial basis functions used in meshless frameworks. In contrast with previous approaches, these allow coarse deformation functions to efficiently resolve non-uniform stiffnesses. Complex models can thus be simulated at high frame rates using a small number of control nodes.
doi:10.1145/2010324.1964968 fatcat:z56v4pcpbjfv5ifbav3ykivsna