A recurrence relation for rational B-splines

被引：0
作者：
Casciola, G
机构：
[1] Department of Mathematics, University of Bologna
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1997年 / 14卷 / 02期
关键词：
rational B-splines; recurrence relation;
D O I：
10.1016/S0167-8396(96)00023-4
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this note a recurrence relation for rational B-splines is presented. Using this formula, it is possible to write a rational spline in terms of normalized rational B-splines of lower order, with certain rational coefficients; these coincide with that generated by the well-known ''rational version of the de Boor algorithm'' based on knot-insertion (Farin, 1988 and 1989). A modified relation is presented that puts forward a different recurrence scheme.
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收藏
页码：103 / 110
页数：8
相关论文
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