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: | Kouibia A, Pasadas M, Rodrguez M L |
Keywords: | splines |
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.