Trigonometric polynomial B-spline with shape parameter  

作　　者：WANGWentao WANGGuozhao 

机构地区：[1]InstituteofComputerGraphicsandImage,DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,China

出　　处：《Progress in Natural Science:Materials International》2004年第11期1023-1026,共4页自然科学进展·国际材料（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (GrantNo .10 3 71110 )andtheMajorStateBasicResearchDevelopmentProgramofChina (GrantNo .G2 0 0 2CB12 10 1)

摘　　要：The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it has most of the properties of B-spline. The ellipse and circle can be accurately represented by this basis function.The basis function of n order trigonometric polynomial B-spline with shape parameter is constructed by an integral approach. The shape of the constructed curve can be adjusted by changing the shape parameter and it has most of the properties of B-spline. The ellipse and circle can be accurately represented by this basis function.

关 键 词：trigonometric polynomial B-spline with shape parameter basis function CAGD. 

分 类 号：O174[理学—数学]