Non-uniform B-spline curves with multiple shape parameters

被引：8
|
作者：
Cao, Juan [1 ]
Wang, Guo-zhao [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE C-COMPUTERS & ELECTRONICS | 2011年 / 12卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Non-uniform B-spline; Shape parameter; Degree elevation; BEZIER CURVES; C-CURVES; SURFACES; EXTENSION; KNOT;
D O I：
10.1631/jzus.C1000381
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：800 / 808
页数：9
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