DocumentCode
2451216
Title
Mixed tensor product Be´zier-Poisson surfaces
Author
Long, Xiang ; Ye, Zhangxiang ; Zeng, Xiao-Ming
Author_Institution
Dept. of Math., Xiamen Univ., Xiamen, China
fYear
2010
fDate
24-27 Aug. 2010
Firstpage
1722
Lastpage
1726
Abstract
A kind of mixed tensor product Bernstein-Poisson basis function is presented in this paper. Some important properties of this kind of basis function are discussed and mixed tensor product Bézier-Poisson surface is defined based on it. The basic properties of the such surface are discussed. Via de Casteljau algorithm, the evaluation algorithm and subdivision algorithm for mixed tensor product Bézier-Poisson surfaces are derived as extensions of the algorithms of Bézier curves and Poisson curves.
Keywords
computational geometry; tensors; Bézier curves; Poisson curves; de Casteljau algorithm; evaluation algorithm; mixed tensor product Bézier-Poisson surfaces; mixed tensor product Bernstein-Poisson basis function; subdivision algorithm; Algorithm design and analysis; Analytical models; Approximation algorithms; Computational modeling; Computers; Surface treatment; Tensile stress; Bézier-Poisson surface; Bernstein-Poisson basis function; Tensor product; de Casteljau algorithm; subdivision;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Science and Education (ICCSE), 2010 5th International Conference on
Conference_Location
Hefei
Print_ISBN
978-1-4244-6002-1
Type
conf
DOI
10.1109/ICCSE.2010.5593569
Filename
5593569
Link To Document