Title :
Discussion on the convexity of cubic triangular Bezier surfaces
Author :
Liu, Rong ; Qiao, Xuejun
Author_Institution :
Base Dept., Beijing Inst. of Clothing Technol., Beijing, China
Abstract :
Cubic Bezier surface is a popular surface used in geometry modeling and computer graphics. In this paper, we investigate the relationship between the triangular Bezier surface and the B-net, and analysis the convexity of cubic triangular Bezier surfaces. Some sufficient and necessary conditions for the convexity are obtained. These conditions are good for controlling the convexity in surface modeling.
Keywords :
computational geometry; computer graphics; surface fitting; B-net; computer graphics; cubic triangular Bezier surfaces; geometry modeling; surface modeling convexity; Computational modeling; Computer graphics; Computers; Equations; Geometry; Mathematical model; Surface treatment; Convexity; Direction derivative; Triangular Bezier surface;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2011 International Conference on
Conference_Location :
Yichang
Print_ISBN :
978-1-4244-8162-0
DOI :
10.1109/ICECENG.2011.6057025
