A Physics-based Model for Active Contours: a Computational Algebraic Topology Approach

We present a new method for the deformation of curve based upon a decomposition of the elasticity problem into basic physical laws. We encode the basic laws using computational algebraic topology. Each basic law uses exact global values and makes approximations only when they are needed. The deformations computed with our approach have a physical interpretation. Furthermore, our algorithm performs with either 2D or 3D problems. We finally present results validating our approach.