Deformable models

Demetri Terzopoulos, Kurt Fleischer
1988 The Visual Computer  
We develop physically-based models of deformable curves, surfaces, and solids for use in computer graphics. Our deformable models are governed by the mechanical laws of continuous bodies whose shapes can change over time. These laws, expressed in the form of dynamic differential equations, unify the description of shape and motion. By solving the equations numerically we are able to create realistic animations involving the interaction of deformable models with various applied forces, ambient
more » ... dia, and impenetrable obstacles in a simulated physical world. We develop deformable models capable of perfectly elastic behavior and more general inelastic behavior, including viscoelasticity, plasticity, and fracture.
doi:10.1007/bf01908877 fatcat:2zuqjlmb6jfpnijg3njqq7sudi