On the use of shape primitives for reversible surface skeletonization

Abstract

We use a mathematical morphology approach to compute the surface and curve skeletons of a 3D object. We focus on the behaviour of the surface skeleton, in particular the reversibility for the case when the skeleton is, and is not anchored to the set of centres of maximal balls. We elaborate on the difficulties to obtain a reversible surface skeleton that does not depend on the orientation of the original object with respect to the grid, and that has no jagged borders. © Springer-Verlag Berlin Heidelberg 2003.