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An error estimate in image processing

Philippe Destuynder 1 Mohamed Jaoua 2, 3 Hela Sellami 4 
1 CNAM - Conservatoire National des Arts et Métiers [CNAM]
2 JAD - Laboratoire Jean Alexandre Dieudonné
3 UFE - Université française d'Egypte
4 LR-LAMSIN-ENIT - 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 : Finite element method interpolation image processing functional space BV
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Philippe Destuynder, Mohamed Jaoua, Hela Sellami. An error estimate in image processing. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2012, Volume 15, 2012, pp.61-81. ⟨10.46298/arima.1958⟩. ⟨hal-01299494⟩

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