| 同心圆与直线剖分下的多元多项式插值 |
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| 引用本文： | 李道伦,董玉德,洪力奋,吴刚.同心圆与直线剖分下的多元多项式插值[J].计算机辅助设计与图形学学报,2003,15(5):523-526,531. |
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| 作者姓名： | 李道伦 董玉德 洪力奋 吴刚 |
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| 作者单位： | 1. 中国科技大学计算机科学与技术系,合肥,230051
2. 中兴通讯CDMA所OMC室,南京,210012 |
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| 基金项目： | 安徽省自然科学基金 (0 10 42 2 0 9)，安徽省教委基金 (2 0 0 1AH2K42A)资助 |
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| 摘 要： | 传统的插值方法一般是基于三角形或四边形剖分的，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．给出一种新的基于同心圆与直线剖分的插值方法，由于该剖分的节点分布是对称的，加之所构造的基函数是对称的，因而插值函数具有保对称性，且是多项式函数．数值实例表明，该插值方法对此类问题有很好的效果，并给出了相应的误差分析．另外，若剖分线退化为射线，该方法可适用更一般情形．
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| 关 键 词： | 同心圆 直线剖分 多元多项式 插值 基函数 CAD |
Multivariate Polynomial Interpolation Based on the Partition of Concentric Circles and Lines |
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| Li Daolun,Dong Yude,Hong Lifen,Wu Gang.Multivariate Polynomial Interpolation Based on the Partition of Concentric Circles and Lines[J].Journal of Computer-Aided Design & Computer Graphics,2003,15(5):523-526,531. |
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| Authors: | Li Daolun Dong Yude Hong Lifen Wu Gang |
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| Affiliation: | Li Daolun 1) Dong Yude 1) Hong Lifen 1) Wu Gang 2) 1) |
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| Abstract: | Many traditional interpolation methods are based on the triangular and quadrilateral partition These approaches have drawback when they are applied to deal with problems of circular distribution This paper presents a new method to construct the multivariate polynomial interpolation based on the partition of concentric circles and lines The data points are distributed circularly, and the basis functions are symmetrical, thus the interpolation function preserves symmetry and it is polynomial Examples are given to illustrate the efficiency of interpolation, and the error analysis is also included |
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| Keywords: | interpolation partition of concentric circles and lines polynomial |
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