Voronoi diagrams of polygons: A framework for shape representation

This paper describes an efficient shape representation framework for planar shapes using Voronoi skeletons. A new algorithm for the construction of the Voronoi diagram of a polygon with holes is first described. The main features of this algorithm are its robustness in handling the standard degenerate cases (colinearity of more than two points; co-circularity of more than three points), and its ease of implementation. This algorithm is then used to derive accurate and robust skeletons for planar shapes. The shape representation scheme using Voronoi skeletons possesses the important properties of connectivity as well as Euclidean metrics. The resultant representation is stable with respect to being invariant to perturbations along the boundary of the shape