Optimization of parameters for curve interpolation by cubic splines

Optimization of parameters for curve interpolation by cubic splines

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Article ID: iaor20115345
Volume: 235
Issue: 14
Start Page Number: 4187
End Page Number: 4198
Publication Date: May 2011
Journal: Journal of Computational and Applied Mathematics
Authors: , ,
Keywords: splines
Abstract:

In this paper, we present an interpolation method for curves from a data set by means of the optimization of the parameters of a quadratic functional in a space of parametric cubic spline functions. The existence and the uniqueness of this problem are shown. Moreover, a convergence result of the method is established in order to justify the method presented. The aforementioned functional involves some real non‐negative parameters; the optimal parametric curve is obtained by the suitable optimization of these parameters. Finally, we analyze some numerical and graphical examples in order to show the efficiency of our method.

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