Uniform trigonometric polynomial B-spline curves

被引:24
作者
吕勇刚
汪国昭
杨勋年
机构
基金
中国国家自然科学基金;
关键词
C-curves; uniform B-splines; C-B-splines; trigonometric polynomial B-splines;
D O I
暂无
中图分类号
TP391.7 [机器辅助技术];
学科分类号
081203 ; 0835 ;
摘要
This paper presents a new kind of uniform spline curve, named trigonometric polynomial B-splines, over space Ω = span{sini,cost, tk-3,tk-4, …,t, 1} of which k is an arbitrary integer larger than or equal to 3. We show that trigonometric polynomial B-spline curves have many similar properties to traditional B-splines. Based on the explicit representation of the curve we have also presented the subdivision formulae for this new kind of curve. Since the new spline can include both polynomial curves and trigonometric curves as special cases without rational form, it can be used as an efficient new model for geometric design in the fields of CAD/CAM.
引用
收藏
页码:335 / 343
页数:9
相关论文
共 1 条
[1]  
Helix splines as an example of affine Tchebycheffian splines[J] . Helmut Pottmann,Michael G. Wagner.Advances in Computational Mathematics . 1994 (1)