Cutting 3D freeform objects with genus-n into single boundary surfaces using topological graphs
Proceedings of the seventh ACM symposium on Solid modeling and applications
Centroidal Voronoi diagrams for isotropic surface remeshing
Graphical Models - Special issue on SMI 2003
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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.