Mixed tensor product negative Bernstein-Bézier surfaces  

作　　者：LIU Yanhong ZHANG Yuhua CHEN Shuni ZENG Xiaoming 

机构地区：[1]Department of Mathematics, Xiamen University

出　　处：《Computer Aided Drafting,Design and Manufacturing》2012年第4期55-58,共4页计算机辅助绘图设计与制造（英文版）

摘　　要：A kind of mixed tensor product negative Bemstein-B6zier basis function is presented in this paper. Some important prop- erties of this kind of basis function are discussed and mixed tensor product negative Bemstein-B6zier is defined based on it. The ba- sic properties of the such surface are discussed. Via de Casteljan algorithm, the evaluation algorithm and subdivision algorithm for mixed tensor product negative Bernstein-B6zier surfaces are derived as extensions of the algorithms of B6zier curves and negative Bernstein curves.A kind of mixed tensor product negative Bemstein-B6zier basis function is presented in this paper. Some important prop- erties of this kind of basis function are discussed and mixed tensor product negative Bemstein-B6zier is defined based on it. The ba- sic properties of the such surface are discussed. Via de Casteljan algorithm, the evaluation algorithm and subdivision algorithm for mixed tensor product negative Bernstein-B6zier surfaces are derived as extensions of the algorithms of B6zier curves and negative Bernstein curves.

关 键 词：tensor product negative Bemstein-B6zier basis function negative Bemstein-B6zier surface SUBDIVISION 

分 类 号：O183.2[理学—数学]