DocumentCode
1972896
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
fYear
2011
fDate
16-18 Sept. 2011
Firstpage
5235
Lastpage
5237
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Electrical and Control Engineering (ICECE), 2011 International Conference on
Conference_Location
Yichang
Print_ISBN
978-1-4244-8162-0
Type
conf
DOI
10.1109/ICECENG.2011.6057025
Filename
6057025
Link To Document