| 基于牛顿插值的多项式参数曲线隐式化 |
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| 引用本文： | 赵若晨,于建平,孙永利. 基于牛顿插值的多项式参数曲线隐式化[J]. 北京化工大学学报(自然科学版), 2011, 38(4): 140-143 |
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| 作者姓名： | 赵若晨 于建平 孙永利 |
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| 作者单位： | 北京化工大学 理学院,北京,100029;北京科技大学 数理学院,北京,100083 |
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| 基金项目： | 中央高校基本科研业务费 |
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| 摘 要： | 利用Bezout矩阵与牛顿插值多项式的基本理论，给出了多项式参数曲线隐式化的一种方法。与基于拉格朗日插值多项式的参数曲线隐式化相比，该方法节省了时间和空间，从而极大地提高了隐式化的运算速度。通过隐式化的例子，验证了本文算法的准确性和有效性。
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| 关 键 词： | 多项式参数曲线 Bezout矩阵 牛顿插值 |
| 收稿时间： | 2011-02-25 |
Implicitization of polynomial parametric curves by means of Newton interpolation |
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| ZHAO RuoChen,YU JianPing,SUN YongLi. Implicitization of polynomial parametric curves by means of Newton interpolation[J]. Journal of Beijing University of Chemical Technology, 2011, 38(4): 140-143 |
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| Authors: | ZHAO RuoChen YU JianPing SUN YongLi |
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| Affiliation: | 1. School of Science, Beijing University of Chemical Technology, Beijing 100029; 2. School of Applied Science, Beijing University of Science and Technology, Beijing 100083, China |
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| Abstract: | A method of implicitization of polynomial parametric curves,which is based on a Bezout matrix and Newton interpolation,is given in this paper.Compared to the implicitization of polynomial parametric curves via Lagrange interpolation,the new method saves both time and space and therefore greatly improves the operation speed.Finally,some examples are given which prove the effectiveness and accuracy of this method. |
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| Keywords: | polynomial parametric curves Bezout matrix Newton interpolation |
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