The algorithm for automatic cutting of three-dimensional polyhedrons of h-genus
Elena Kartasheva · 1999
An algorithm for automatically reducing the topology of an h-genus 3D polyhedron to the topology of a sphere is proposed. The polyhedron is assumed to be represented by a 3D cell complex. A special technique for separating the 2D sub-complexes producing the cutting surfaces is described. This technique is based on the calculation of the Betti groups of the polyhedron.