| 基于同心圆与平行直线剖分的多元多项式插值 |
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| 引用本文： | 李道伦,吴刚,洪力奋,董玉德.基于同心圆与平行直线剖分的多元多项式插值[J].计算机辅助设计与图形学学报,2002,14(1):70-74. |
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| 作者姓名： | 李道伦 吴刚 洪力奋 董玉德 |
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| 作者单位： | 中国科学技术大学计算机科学与技术系,合肥,230051 |
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| 基金项目： | 中国博士后研究基金 (12 63 87)，安徽省自然科学基金资助 |
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| 摘 要： | 传统的插值方法一般是基于三角形功四边形剖分的，它们在应用上不易处理类似于呈圆形分布的问题，有一定的局限性，文中给出一种新的基于同心圆与平行直线剖分的插值方法，使用该方法构造的插值函数是保对称的，且是多项式函数，并在理论上给出一种误差估计方法，最后给出数值实例。
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| 关 键 词： | 同心圆 平行直线剖分 多元多项式插值 CAD 计算机辅助设计 |
| 修稿时间： | 2000年12月12 |
Multivariate Polynomial Interpolation Based on the Partition of Concentric Circles and Parallel Lines |
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| Li,Daolun,Wu,Gang,Hong Lifen,Dong Yude.Multivariate Polynomial Interpolation Based on the Partition of Concentric Circles and Parallel Lines[J].Journal of Computer-Aided Design & Computer Graphics,2002,14(1):70-74. |
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| Authors: | Li Daolun Wu Gang Hong Lifen Dong Yude |
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| Abstract: | Many traditional methods of interpolation are based on triangular or quadrilateral partition. Such interpolation has drawback in dealing with certain problems such as circularly distributed data. This paper presents a new method to construct multivariate polynomial interpolation based on the partition of concentric circles and parallel lines, and the interpolation is symmetrical and polynomial. Error analysis of the interpolation is given and examples are presented to illustrate the efficiency of interpolation. |
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| Keywords: | interpolation partition of concentric circles and parallel lines multivariate function |
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