The product calculation of linear polynomial and B-spline curve
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 kth B-spline bases and (k+ l)-th B-spline bases, we present an approach for calculating the product of parameter t and Bspline 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 function and a B-spline curve. At the end, we give the examples with k=3, namely the product of linear polynomial function and cubic B-spline curve, which also show that the product calculation method in this paper easily implements.
Product calculation Conversion matrix Degree elevation B-spline bases
Xiangjiu Che Shiying Zong Na Che Zhanheng Gao
College of Computer Science &Technology Jilin University, Changchun 130012, China Department of Animation, College of Fine Art Changchun University, Changchun 130024, China School of College of Computer Science &Technology Jilin University, Changchun 130012, China Department of Anim
国际会议
温州
英文
991-994
2009-11-26（万方平台首次上网日期，不代表论文的发表时间）