This paper presents a rational function interpolation scheme of polygonal elements based on highly irregular grids. It is named as polygonal rational function interpolation (RFI).

借鉴自然邻点插值法，提出了基于高度不规则网格多边形单元的有理函数插值格式—多边形有理函数插值。

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So the adaptive rational function interpolation method can process a large number of sampling data for obtaining a rational interpolation without suffering singularity problems.

因此，本文提出的自适应有理函数插值方法可以对大量采样数据进行插值运算而不会遇到奇异性问题。

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This paper discusses the theory and several algorithms of rational function interpolation.

本课题对有理函数插值方法的理论及其算法进行了研究。

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