Philippe Destuynder (1) (2), Mohamed Jaoua (3) (4), Hela Sellami (5)
(1) Conservatoire National des Arts et Métiers [CNAM]
(2) Conservatoire National des Arts et Métiers [Cnam]
(3) Laboratoire Jean Alexandre Dieudonné
(4) Université française d'Egypte
(5) Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
Abstract
A new interpolation error estimate for a finite element method for image processing is proved in this paper. The suggested scheme is based on the Raviart-Thomas one, extended to a non linear formulation. The numerical trials run confirm the accuracy of the restoration algorithm.
Keywords
[INFO]Computer Science [cs]
[MATH]Mathematics [math]
Finite element method
interpolation
image processing
functional space BV
Mathematics Subject Classification 2020
94A08 - Image processing (compression, reconstruction, etc.) in information and communication theory
