A bivariate rational interpolation with a bi-quadratic denominator

Authors:
Qi Duan;Huanling Zhang;Aikui Liu;Huaigu Li
Affiliations:
School of Mathematics and System Science, Shandong University, Jinan, China;School of Mathematics and System Science, Shandong University, Jinan, China;School of Mathematics and System Science, Shandong University, Jinan, China;Jinan University, Jinan, China
Venue:
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Year:
2006

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Abstract

In this paper a new rational interpolation with a bi-quadratic denominator is developed to create a space surface using only values of the function being interpolated. The interpolation function has a simple and explicit rational mathematical representation. When the knots are equally spaced, the interpolating function can be expressed in matrix form, and this form has a symmetric property. The concept of integral weights coefficients of the interpolation is given, which describes the "weight" of the interpolation points in the local interpolating region.