Using the implicit surface paradigm for smooth animation of triangle meshes

We consider the problem of real-time animation of a cartoon character which is represented by a skeleton implicit surface. If the character's motions permit a constant topology for the skin, it is possible to reduce the problem of computing an approximation of the implicit surface to solve only one scalar equation per surface point for a fixed number of surface points; these surface points define the shape of a triangle mesh with constant topology. We present the algorithm, and demonstrate its working in a real-time model of walking cartoon legs.