Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640016 | Journal of Computational and Applied Mathematics | 2011 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A. Kouibia, M. Pasadas, M.L. Rodríguez,