Triangular domain extension of linear Bernstein-like trigonometric polynomial basis

作     者：Wan-qiang SHEN Guo-zhao WANG 

作者机构：Department of Mathematics Zhejiang University Hangzhou 310027 China 

出 版 物：《Journal of Zhejiang University-Science C(Computers and Electronics)》 (浙江大学学报C辑（计算机与电子（英文版）)

年 卷 期：2010年第11卷第5期

页      面：356-364页

核心收录：

学科分类：07[理学] 081203[工学-计算机应用技术] 08[工学] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (Nos.60773179,60933008,and 60970079) the National Basic Research Program (973) of China (No.2004CB318000) the China Hungary Joint Project (No.CHN21/2006) 

主　　题：Computer aided geometric design(CAGD) Free form modeling Trigonometric polynomial Basis function Bernstein basis Triangular domain 

摘      要：In computer aided geometric design(CAGD),the Bernstein-Bézier system for polynomial space including the triangular domain is an important tool for modeling free form *** Bernstein-like bases for other spaces(trigonometric polynomial,hyperbolic polynomial,or blended space) has also been ***,none of them was extended to the triangular *** this paper,we extend the linear trigonometric polynomial basis to the triangular domain and obtain a new Bernstein-like basis,which is linearly independent and satisfies positivity,partition of unity,symmetry,and boundary *** prove some properties of the corresponding surfaces,including differentiation,subdivision,convex hull,and so *** applications are shown.