Polynomial approximation of rational Bézier curves with constraints
Polynomial approximation of rational Bézier curves with constraints
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DOI：
10.1007/s11075-011-9507-0
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发表时间：
2012-04
影响因子：
2.1
通讯作者：
S. Lewanowicz;Pawel Wozny;P. Keller
中科院分区：
文献类型：
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作者：
S. Lewanowicz;Pawel Wozny;P. Keller
我们提出了一种用多项式贝塞尔曲线来解决有理贝塞尔曲线的约束最小二乘逼近问题的有效方法。所提出的算法使用对偶约束伯恩斯坦基多项式，并利用它们的递归特性。给出了算例，说明了算法的有效性。
We present an efficient method to solve the problem of the constrained least squares approximation of the rational Bézier curve by the polynomial Bézier 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.