Positivity and Monotonicity Preserving Biquartic Rational Interpolation Spline Surface

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...

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Bibliographic Details
Main Authors: Xinru Liu, Yuanpeng Zhu, Shengjun Liu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/987076