Blending surfaces by smoothing PDE splines

  1. Pasadas Fernández, Miguel
  2. Rodríguez González, Miguel Luis
Libro:
VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques
  1. Palacios Latasa, Manuel Pedro (coord.)
  2. Trujillo, David (coord.)
  3. Torrens Iñigo, Juan José (coord.)
  4. Madaune-Tort, Monique (coord.)
  5. López de Silanes Busto, María Cruz (coord.)
  6. Sanz Sáiz, Gerardo (coord.)

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

ISBN: 84-7733-720-9

Año de publicación: 2003

Páginas: 219-228

Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (8. 2003. Jaca)

Tipo: Aportación congreso

Resumen

This work is concerned with how we can mix conditions of both interpolation and approximation in order to find a blending surface joining two or more surfaces when approximating a given data point set, and modelled from a certain partial differential equation. We establish a variational characterization for the solution of this problem and we establish some convergence result. Finally, we discretize this problem in a finite element space.