Animated deformations with radial basis functions

Abstract

We present a novel approach to creating deformations of polygonal models using Radial Basis Functions (RBFs) to produce localized real-time deformations. Radial Basis Functions assume surface smoothness as a minimal constraint and animations produce smooth displacements of affected vertices in a model. Animations are produced by controlling an arbitrary sparse set of control points defined on or near the surface of the model. The ability to directly manipulate a facial surface with a small number of point motions facilitates an intuitive method for creating facial expressions for virtual environment applications such as an immersive teleconferencing system or entertainment. Smooth deformations of the human face or other models are possible and illustrated with examples of a variety of expressions and mouth shapes.