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2015 Positivity Preserving Interpolation Using Rational Bicubic Spline
Samsul Ariffin Abdul Karim, Kong Voon Pang, Azizan Saaban
J. Appl. Math. 2015: 1-15 (2015). DOI: 10.1155/2015/572768


This paper discusses the positivity preserving interpolation for positive surfaces data by extending the C1 rational cubic spline interpolant of Karim and Kong to the bivariate cases. The partially blended rational bicubic spline has 12 parameters in the descriptions where 8 of them are free parameters. The sufficient conditions for the positivity are derived on every four boundary curves network on the rectangular patch. Numerical comparison with existing schemes also has been done in detail. Based on Root Mean Square Error (RMSE), our partially blended rational bicubic spline is on a par with the established methods.


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Samsul Ariffin Abdul Karim. Kong Voon Pang. Azizan Saaban. "Positivity Preserving Interpolation Using Rational Bicubic Spline." J. Appl. Math. 2015 1 - 15, 2015.


Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 07132071
MathSciNet: MR3332129
Digital Object Identifier: 10.1155/2015/572768

Rights: Copyright © 2015 Hindawi


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