A bivariate rational interpolation with a bi-quadratic denominator

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 in...

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Veröffentlicht in:Journal of computational and applied mathematics 2006-10, Vol.195 (1), p.24-33
Hauptverfasser: Duan, Qi, Zhang, Huanling, Liu, Aikui, Li, Huaigu
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2005.07.015