| 参数保形插值中决定切矢的方法 |
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| 引用本文： | 李悦,张彩明.参数保形插值中决定切矢的方法[J].高校应用数学学报(A辑),1998(Z1). |
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| 作者姓名： | 李悦 张彩明 |
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| 作者单位： | 山东大学计算机科学系(李悦)，济南市山东大学计算机系(张彩明) |
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| 摘 要： | 由分段三次参数多项式曲线拼合成的Ｃ１插值曲线的形状与数据点处的切矢有很大关系．基于对保形插值曲线特点的分析，本文提出了估计数据点处切矢的一种方法：采用使构造的插值曲线的长度尽可能短的思想估计数据点处的切矢，并且通过四组有代表性的数据对本方法和已有的三种方法进行了比较．
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| 关 键 词： | 保形插值，切矢，分段三次多项式 |
A METHOD FOR DETERMINING TANGENT VECTORS IN SHAPE PRESERVING PARAMETRIC INTERPOLATION |
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| Li Yue\ Zhang Caiming.A METHOD FOR DETERMINING TANGENT VECTORS IN SHAPE PRESERVING PARAMETRIC INTERPOLATION[J].Applied Mathematics A Journal of Chinese Universities,1998(Z1). |
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| Authors: | Li Yue\ Zhang Caiming |
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| Abstract: | The shape of C 1 interpolant formed by piecewise cubic polynomial curves is relevant to the tangent vectors at data points.Based on the analysis to the properties of the shape preserving interpolant for the given data points,a method for evaluating the tangent vectors in constructing shape preserving interpolant is discussed.This method evaluate the tangent vectors by the way that the constructed interpolation curve is as short as possible.Several examples are given which compare the new method with other methods. |
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| Keywords: | Shape Preserving Interpolant Tangent Vector Piecewise Cubic Polynomial |
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