Approximation of explicit surfaces by fairness bicubic variational splines

  1. Pasadas Fernández, Miguel
  2. Kouibia, A.
Libro:
VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001
  1. Madaune-Tort, Monique (coord.)

Editorial: Prensas de la Universidad de Zaragoza ; Universidad de Zaragoza

ISBN: 84-96214-04-4

Año de publicación: 2003

Páginas: 361-368

Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (7. 2001. Jaca)

Tipo: Aportación congreso

DIALNET GOOGLE SCHOLAR

Resumen

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 explicit surfaces 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 show the validity of our method.

Fuente de los datos: Dialnet