Approximation of Surfaces by Fairness Bicubic Splines |
| |
Authors: | A. Kouibia M. Pasadas |
| |
Affiliation: | (1) Department of Applied Mathematics, Faculty of Sciences, University of Granada, Granada, Spain |
| |
Abstract: | In this paper we present an approximation method of surfaces by a new type of splines, which we call fairness bicubic splines, from a given Lagrangian data set. An approximating problem of surface is obtained by minimizing a quadratic functional in a parametric space of bicubic splines. The existence and uniqueness of this problem are shown as long as a convergence result of the method is established. We analyze some numerical and graphical examples in order to prove the validity of our method. |
| |
Keywords: | smoothing variational surface fairness spline bicubic spline |
本文献已被 SpringerLink 等数据库收录! |
|