Non-uniform B-spline curves with multiple shape parameters  

作　　者：Juan CAO Guo-zhao WANG 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China [2]Department of Mathematics, Zhejiang University, Hangzhou 310027, China

出　　处：《Journal of Zhejiang University-Science C(Computers and Electronics)》2011年第10期800-808,共9页浙江大学学报C辑（计算机与电子（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 60970079,60933008,61100105,and 61100107);the Natural Science Foundation of Fujian Province of China (No.2011J05007);the National Defense Basic Scientific Research Program of China (No. B1420110155)

摘　　要：We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence.These curves not only have the many valued properties of the usual non-uniform B-spline curves,but also are shape adjustable under fixed control polygons.Our method is based on the degree elevation of B-spline curves,where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline.We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms,which are indispensable from the user's perspective.We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot sequence. These curves not only have the many valued properties of the usual non-uniform B-spline curves, but also are shape adjustable under fixed control polygons. Our method is based on the degree elevation of B-spline curves, where maximum degrees of freedom are added to a curve parameterized in terms of a non-uniform B-spline. We also discuss the geometric effect of the adjustment of shape parameters and propose practical shape modification algorithms, which are indispensable from the user＇s perspective.

关 键 词：Non-uniform B-spline Shape parameter Degree elevation 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TP391.41[自动化与计算机技术—计算机科学与技术]