The structure of uniform B-spline curves with parameters  

作　　者：Juan Cao Guozhao Wang 

机构地区：[1]Institute of Image Processing and Computer Graphic, Department of Mathematics, Zhejiang University, Hangzhou 310027, China

出　　处：《Progress in Natural Science:Materials International》2008年第3期303-308,共6页自然科学进展·国际材料（英文版）

基　　金：This work was supported by National Natural Science Foundation of China （Grant No. 60473130） ;National Program on Key Basic Research project （Grant No. G2004CB318000）.

摘　　要：The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple parameters. Examples show that the proposed basis functions provide more flexibility for curve design.The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple parameters. Examples show that the proposed basis functions provide more flexibility for curve design.

关 键 词：Uniform B-spline Shape parameter Shape-adjustable curve Degree elevation 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] O18[自动化与计算机技术—计算机科学与技术]