Title :
Detecting Ambiguities in 3D Polygons with Self-Intersecting Projections
Author_Institution :
Sch. of Instrum. Sci., Hefei Univ. of Technol., Hefei, China
Abstract :
If a given 3D polygon has a self-intersecting projection which can bound several in equivalent disk-like surfaces in space, we say the polygon is ambiguous. In this paper, we propose a decomposition scheme for 3D polygons using Gauss diagrams from knot theory, and use it to detect ambiguities of 3D polygons.
Keywords :
computational geometry; 3D polygon; Gauss diagram; ambiguity detection; decomposition scheme; knot theory; polygon self-intersecting projection; Design automation; Image segmentation; Joining processes; Shape; Surface treatment; Three dimensional displays; Windings; 3D polygon; Ambiguity; Decompostion; Gauss diagram;
Conference_Titel :
Computer-Aided Design and Computer Graphics (CAD/Graphics), 2011 12th International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-1-4577-1079-7
DOI :
10.1109/CAD/Graphics.2011.31
