Regularization properties for minimal geodesics of a potential energy

Abstract

Some new results on our approach [2] of edge integration for shape modeling are presented. It enables to find the global minimum of active contour models' energy between two points. Initialization is made easier and the curve cannot be trapped at a local minimum by spurious edges. We modified the “snake” energy by including the internal regularization term in the external potential term. Our method is based on the interpretation of the snake as a path of minimal length on a surface or minimal cost. We then make use of level sets propagation to find the shortest path which is the global minimum of the energy among all paths joining two endpoints.