In this paper we describe a novel concept for classification of complex parametric geometry based on the concept of the Divider Set. The Divider Set is an alternative concept to maximal disks, Voronoi sets and cut loci. The Di-vider Set is based on a formal definition relating to topol-ogy and differential geometry. In this paper firstly we discuss the… (More)
The Divider set, as an innovative alternative concept to maximal disks, Voronoi sets and cut loci, is presented with a formal definition based on topology and differential geometry. The relevant mathematical theory by previous authors and a comparison with other medial axis definitions is presented. Appropriate applications are proposed and examined.