Blending surfaces by smoothing PDE splines

• Autores: Miguel Pasadas Fernández , Miguel Luis Rodríguez González
• Localización: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques / coord. por Manuel Pedro Palacios Latasa , David Trujillo, Juan José Torrens Iñigo , Monique Madaune-Tort , María Cruz López de Silanes Busto , Gerardo Sanz Sáiz , 2003, ISBN 84-7733-720-9, págs. 219-228
• Idioma: inglés
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• 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.