Real-Time Deformations of Function-Based Surfaces using Perturbation Functions

This paper presents an adaptive method for animating dynamic deformable objects using geometric operations. Transformations of geometric objects are described for offsetting and morphing. Free forms constructed on the basis of perturbation functions have the advantage of spline-representation of surfaces, thus achieving a high degree of smoothness and is an advantage of an arbitrary form for a small number of such perturbation functions. The user interacts in real-time with the dynamic object through the control of a tool, attached to a mouse device driven with forces derived from the method.