A survey on fast simulation of elastic objects

摘要

Elastic simulation plays an important role in computer graphics and has been widely applied to film and game industries. It also has a tight relationship to virtual reality and computational fabrication applications. The balance between accuracy and performance are the most important challenge in the design of an elastic simulation algorithm. This survey will begin with the basic knowledge of elastic simulation, and then investigate two major acceleration techniques for it. From the viewpoint of deformation energy, we introduce typical linearization and reduction ideas for accelerating. We also introduce some recent progress in projective and position-based dynamics, which mainly rely on special numerical methods. Besides, optimal control for elastic objects and typical collision resolving techniques are discussed. Finally, we discuss several possible future works on integrating elastic simulation into virtual reality and 3D printing applications.