SIGGRAPH 2010 By Focus
A Simple Geometric Model for Elastic Deformations
Many algorithms in geometry processing, ranging from editing to animation and shape interpolation, as varied as they appear, can be captured with a central idea: distance of the deformation gradient from pure rotations. This paper unifies a number of algorithms and offers improvements in performance and simplification in implementation.
Unified Simulation of Elastic Rods, Shells, and Solids
This higher-order integration rule measures stretching, shearing, bending, and twisting along any axis. The theory and accompanying implementation do not distinguish between forms of different dimension (solids, shells, rods). A single code accurately models a diverse range of elastoplastic behaviors, including buckling, writhing, cutting, and merging.
An Efficient Multigrid Method for Simulation of High-Resolution Elastic Solids
This multigrid solver for simulation of high-resolution elastic deformable solids accommodates models of elaborate geometry, achieves favorable convergence rates even for near-incompressible materials, and facilitates scalability on shared-memory multiprocessors. Linear and co-rotational linear elasticity are supported in the proposed framework.
A Simple Approach to Nonlinear Tensile Stiffness for Accurate Cloth Simulation
This cloth-simulation model allows accurate modeling of arbitrary nonlinear strain-stress curves, for accurate reproduction of the anisotropic nonlinear tensile viscoelasticity of cloth materials. The model is packaged in a simple implementation that combines the accuracy of finite elements with an explicit particle-system-like formulation to enable simple, efficient, and versatile implementations.