Bounds on the Moving Control Points of Hybrid Curves
Bounds on the Moving Control Points of Hybrid Curves
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DOI：
10.1006/gmip.1996.0411
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
Guozhao Wang;Jianmin Zheng
中科院分区：
文献类型：
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作者：
Guozhao Wang;Jianmin Zheng
混合曲线为用多项式贝塞尔曲线逼近有理贝塞尔曲线提供了一种有吸引力的方法。本文给出了几种估计混合曲线运动控制点逼近误差界的方法。当给定有理Bezier曲线满足混合曲线的移动控制点的收敛条件时，通过这些方法可以选择具有一定程度的混合曲线，使移动控制点与特殊点之间的距离小于给定的误差界λ。用特殊点代替运动控制点，可以得到近似有理贝塞尔曲线的多项式贝塞尔曲线。
Abstract Hybrid curves provide an attractive method for approximating rational Bezier curves by polynomial Bezier curves. In this paper, several methods are provided to estimate the error bounds for the approximation to the moving control point of the hybrid curves. When the given rational Bezier curves satisfies the convergent conditions for moving control point of the hybrid curve, by these methods we can choose a hybrid curve with a certain degree such that the distance between the moving control point and a special point is less than a given error bound ϵ. So the polynomial Bezier curves to approximate the rational Bezier curve can be obtained by replacing the moving control point with the special point.