Constructing triangular patch by basic approximation operator plus additional interpolation operator  

作　　者：ZHANGCaiming JIXiuhua YANGXingqiang 

机构地区：[1]SchoolofComputerScienceandTechnology,ShandongUniversity,Jinan250061,China//DepartmentofComputerScienceandTechnology,ShandongEconomicUniversity,Jinan250014,China [2]DepartmentofComputerScienceandTechnology,ShandongEconomicUniversity,Jinan250014,China [3]SchoolofComputerScienceandTechnology,ShandongUniversity,Jinan250061,China

出　　处：《Science in China(Series F)》2005年第2期263-272,共10页中国科学（F辑英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.601 73052);Shandong Province Natural Science Foundation(Grant No.Z2001G01);Doctoral Program of High Education of China(Grant No.20020422030).

摘　　要：A new method for constructing triangular patches is presented. The triangular patch that interpolates the given boundary curves and cross-boundary slopes is constructed by a basic approximation operator plus an additional interpolation operator. The basic approximation operator is constructed by a polynomial surface of degree five which approximates the given interpolation conditions. The additional interpolation operator is formed by the side-vertex method. The basic and the additional operators have different roles in constructing the triangular patch: the first one makes the triangular patch approximate the given interpolation conditions with a polynomial approximation precision of degree five, while the second one makes it satisfy the given interpolation conditions. The triangular patch reproduces polynomial surfaces of degree five. Comparison results of the new method with the other two methods are included.

关 键 词：triangular patch INTERPOLATION polynomial of degree five Boolean sum side-vertex operator. 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TP301.6[自动化与计算机技术—计算机科学与技术]