Non-uniform B-spline curves with multiple shape parameters

被引：19

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

页码：800 / 808

页数：9

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