DocumentCode
2146213
Title
On cutting a torus
Author
FujiMura, Kikuo
Author_Institution
Dept. of Comput. & Inf. Sci., Ohio State Univ., Columbus, OH, USA
fYear
1997
fDate
3-6 Mar 1997
Firstpage
10
Lastpage
14
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Shape Modeling and Applications, 1997. Proceedings., 1997 International Conference on
Conference_Location
Aizu-Wakamatsu
Print_ISBN
0-8186-7867-4
Type
conf
DOI
10.1109/SMA.1997.634877
Filename
634877
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