Optimization of parameters for curve interpolation by cubic splines

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Kouibia, A.¹  Pasadas, M.¹  Rodriguez, M. L.¹ 

[1] Univ Granada, Fac Ciencias, Dep Matemat Aplicada, E-18071 Granada, Spain

关键词: Optimization;    Variational method;    Interpolation;    Cubic splines;    Curves;   

DOI  :  10.1016/j.cam.2011.03.013

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free