Determining the Geometry of Boundaries of Objects from Medial Data

For 2D objects in R2 or 3D objects in R3 with (smooth) boundaries B, the Blum medial axis M [BN], or an appropriate variant, is a fundamental objct for describing shape. There has ben a significant body of work devoted to methods for computing it, including a grassfire method (Kimia et al [KTZ]), the Hamilton-Jacobi skeleton (Siddiqi at al [SB]), and Voronoi methods (Szekely et al [SN]) among others