On Cutting a Torus

  • Authors:
  • Kikuo Fujimura

  • Affiliations:
  • -

  • Venue:
  • SMA '97 Proceedings of the 1997 International Conference on Shape Modeling and Applications (SMA '97)
  • Year:
  • 1997

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, methods are presented for cutting the surface of a polygonal shape that is homeomorphic to the torus. A number of issues are discussed as to how to find loops of a desired characteristic on the surface of a polyhedrally-defined torus and how to cut the torus into two parts by using the loops discovered. A method for finding a homeomorphism for toroidal surfaces is also described, which is important for shape transformation and texture mapping in graphics.