Title :
On cutting a torus
Author_Institution :
Dept. of Comput. & Inf. Sci., Ohio State Univ., Columbus, OH, USA
Abstract :
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
Keywords :
computational geometry; computer graphics; graphics; loops; polygonal shape surface cutting; polyhedrally-defined toroidal surface; shape transformation; texture mapping; toroidal surface homeomorphism; torus cutting; Graphics; Interpolation; Shape; Surface texture; Topology;
Conference_Titel :
Shape Modeling and Applications, 1997. Proceedings., 1997 International Conference on
Conference_Location :
Aizu-Wakamatsu
Print_ISBN :
0-8186-7867-4
DOI :
10.1109/SMA.1997.634877
