Constructing parametric triangular patches with boundary conditions

作     者：Frank Cheng 

作者机构：Department of Computer Science University of Kentucky Lexington KY 40506 USA 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2008年第18卷第3期

页      面：315-322页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070102[理学-计算数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：2006CB303102 60533060,60633030 

主　　题：Triangular patch Parametric interpolation Determination of interpolation conditions 

摘      要：The problem of constructing a parametric triangular patch to smoothly connect three surface patches is studied. Usually, these surface patches are defined on different parameter spaces. Therefore, it is necessary to define interpolation conditions, with values from the given surface patches, on the boundary of the triangular patch that can ensure smooth transition between different parameter spaces. In this paper we present a new method to define boundary conditions. Boundary conditions defined by the new method have the same param- eter space if the three given surface patches can be converted into the same form through affine transformation. Consequently, any of the classic methods for constructing functional triangular patches can be used directly to construct a parametric triangular patch to connect given surface patches with G1 continuity. The resulting parametric triangular patch preserves precision of the applied classic method.