Polynomial approximation of rational Bezier curves with constraints

被引：16
|
作者：
Lewanowicz, Stanislaw [1 ]
Wozny, Pawel [1 ]
Keller, Pawel [1 ]
机构：
[1] Univ Wroclaw, Inst Comp Sci, PL-50383 Wroclaw, Poland
来源：
NUMERICAL ALGORITHMS | 2012年 / 59卷 / 04期
关键词：
Rational Bezier curve; Polynomial approximation; Constrained dual Bernstein basis; MULTI-DEGREE REDUCTION; QUADRATURE;
D O I：
10.1007/s11075-011-9507-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an efficient method to solve the problem of the constrained least squares approximation of the rational Bezier curve by the polynomial Bezier curve. The presented algorithm uses the dual constrained Bernstein basis polynomials, and exploits their recursive properties. Examples are given, showing the effectiveness of the algorithm.
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页码：607 / 622
页数：16
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