Triangular domain extension of algebraic trigonometricB′ezier-like basis

作     者：WEI Yong-wei SHEN Wan-qiang WANG Guo-zhao 

作者机构：Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Applied Mathematics Shanghai Maritime University Shanghai 201306 China 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2011年第26卷第2期

页      面：151-160页

核心收录：

学科分类：07[理学] 081401[工学-岩土工程] 08[工学] 070102[理学-计算数学] 0814[工学-土木工程] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China( 60933008 60970079) 

主　　题：CAGD free form modeling blended space basis function triangular domain Bernstein basis. 

摘      要：In computer aided geometric design （CAGD）, B′ezier-like bases receive more andmore considerations as new modeling tools in recent years. But those existing B′ezier-like basesare all defined over the rectangular domain. In this paper, we extend the algebraic trigono-metric B′ezier-like basis of order 4 to the triangular domain. The new basis functions definedover the triangular domain are proved to fulfill non-negativity, partition of unity, symmetry,boundary representation, linear independence and so on. We also prove some properties of thecorresponding B′ezier-like surfaces. Finally, some applications of the proposed basis are shown.