The main question we address is: what is the minimal information required to generate closed, non-intersecting planar boundaries? For this paper we restrict ‘shape’ to this meaning. More precisely, we examine whether the medial axis together with dynamics can serve as a language to design shapes and to effect shape changes, e.g., for modeling, to generate a morph sequence, etc. We represent the medial axis together with a direction of flow along the axis as the shock graph, and examine the reconstruction of shape along each of the three types of medial axis points...
Peter J. Giblin, Benjamin B. Kimia