Author(s): LIU Yanhong, ZHANG Yuhua, CHEN Shuni, ZENG Xiaoming Department of Mathematics, Xiamen University, Xiamen 361005, China
Pages: 55-58
Year: 2012 Issue:  4
Journal: Computer Aided Drafting,Design and Manufacturing
Keyword:  tensor product;  negative Bernstein-Bézier basis function;  negative Bernstein-Bézier surface;  subdivision;
Abstract: A kind of mixed tensor product negative Bernstein-Bézier basis function is presented in this paper. Some important properties of this kind of basis function are discussed and mixed tensor product negative Bernstein-Bézier 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 negative Bernstein-Bézier surfaces are derived as extensions of the algorithms of Bézier curves and negative Bernstein curves.