The Algorithm for Automatic Cutting of Three-Dimensional Polyhedrons of h-Genus.

  • Authors:
  • Elena Kartasheva

  • Affiliations:
  • -

  • Venue:
  • SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
  • Year:
  • 1999

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Abstract

The algorithm for automatic reducing of the topology of a h-genus three-dimensional polyhedron to the topology of a ball is proposed. The polyhedron is assumed to be represented by a three-dimensional cell complex. The special technique for separation of two-dimensional subcomplexes producing the cutting surfaces is described. This technique is based on calculation of Betti groups of the polyhedron.