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2014 Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface
Xinru Liu, Yuanpeng Zhu, Shengjun Liu
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/987076

Abstract

A biquartic rational interpolation spline surface over rectangular domain is constructed in this paper, which includes the classical bicubic Coons surface as a special case. Sufficient conditions for generating shape preserving interpolation splines for positive or monotonic surface data are deduced. The given numeric experiments show our method can deal with surface construction from positive or monotonic data effectively.

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Xinru Liu. Yuanpeng Zhu. Shengjun Liu. "Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/987076

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07132039
MathSciNet: MR3208644
Digital Object Identifier: 10.1155/2014/987076

Rights: Copyright © 2014 Hindawi

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