The product calculation of linear polynomial and B-spline curve

被引：0
|
作者：
Che, Xiangjiu [1 ]
Zong, Shiying [2 ,3 ]
Che, Na [1 ,2 ]
Gao, Zhanheng [1 ]
机构：
[1] Jilin Univ, Coll Comp Sci &Technol, Changchun 130012, Peoples R China
[2] Changchun Univ, Coll Fine Arts, Dept Anim, Changchun 130024, Peoples R China
[3] Northeast Normal Univ, Sch Media, Changchun, Peoples R China
来源：
2009 IEEE 10TH INTERNATIONAL CONFERENCE ON COMPUTER-AIDED INDUSTRIAL DESIGN & CONCEPTUAL DESIGN, VOLS 1-3: E-BUSINESS, CREATIVE DESIGN, MANUFACTURING - CAID&CD'2009 | 2009年
基金：
中国国家自然科学基金;
关键词：
Product calculation; Conversion matrix; Degree elevation; B-spline bases; SURFACES;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we mainly discuss how to calculate the product of linear polynomial function and B-spline curve with arbitrary degree k and generally structured knot. This product calculation involves two questions, the one is how to calculate the product of parameter t and B-spline curve; the other is degree elevation of B-spline curve. Firstly, by making use of the conversion matrix between k-th B-spline bases and (k+1)-th B-spline bases, we present an approach for calculating the product of parameter t and B-spline curve. Meanwhile, we put forward a simple method for the degree elevation of B-spline curve. Further, we obtain the formula for calculating the product of linear polynomial Junction and a B-spline curve. At the end, we give the examples with k=3, namely the product of linear polynomial Junction and cubic B-spline curve, which also show that the product calculation method in this paper easily implements.
引用
收藏
页码：991 / +
页数：2
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