Optimization of the parameters of surfaces by interpolating variational bicubic splines

A. Kouibia and M. Pasadas

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 102, issue C, 76-89

Abstract: In this paper we present an interpolation method from a surface or a data set by the optimization of a quadratic functional in a bicubic splines functional space. The existence and the uniqueness of the solution of this problem are shown and as well a convergence result of the method is established. The mentioned functional involves some real non negative parameters; the optimal surface is obtained by a suitable optimization of these parameters. Finally, we analyze some numerical and graphic examples in order to prove the efficiency of the presented method.

Keywords: Optimization; Variational method; Interpolation; Bicubic; Splines (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:102:y:2014:i:c:p:76-89

DOI: 10.1016/j.matcom.2013.09.003

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