RAFAA Chouder

Amira Guettaf

Osmosis Filtering for Shadow Removal in Images

Ferradi Ali

Finite Difference Schemes For Image Edge Enhancement Models

Sehissah Rawiya

Finite Differences of Fractional Partial Differential Equations

Abstract

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RAFAA Chouder , ,(2023-03-12), Modèles Mathématiques pour le Traitement d'Images,الاسبوع الجامعي للرياضيات,University of M'sila

Many models which use non-linear PDEs have been extensively used for different tasks in image processing. Among numerous PDE-based approaches, the mean curvature flow filtering has tremendous and impressive results, for which feature directions in the image are important. In this paper, we investigate a class of PDEs for image processing which generalize the mean curvature flow and the Beltrami flow. Numerical approximation by semi-implicit finite difference schemes is used. Numerical experiments display the differences between mean curvature flow, Beltrami flow and the general model studied here, where the focus is on the enhanced edge preservation and the behavior with respect to noise.

Citation

RAFAA Chouder , ,(2022-10-26), EDGES ENHANCEMENT VIA GENERALIZED MEAN CURVATURE FLOW,Rencontre d'Analyse Mathématique et ses Applications,University of M'sila

In this paper, we would like to seek the new exact solutions to nonlinear diffusion equation that occurs in image processing. This equation is called degenerate parabolic equation. The solutions which we se ek are called ‘travelling profiles solutions’. For that, we have used the ‘travelling profiles method’ in order to find, explicitly, new exact solutions to this equation under some conditions. An interesting particular case has been discus sed, this case coincides with particular solutions called ‘intermediate asymptotic solutions’ used to study the contour enhancement in image processing.

Citation

RAFAA Chouder , Benhamidouche NourEddine , , (2019-10-01), New exact solutions to nonlinear diffusion equation that occurs in image processing, International Journal of Computing Science and Mathematics, Vol:10, Issue:4, pages:364-374, Inderscience Publishers (IEL)

La théorie des équations de diffusion non linéaires est utiliser pour analyser le processus d’amélioration de contour en traitement de l'image, le but de la pressente recherche et de chercher de nouvelles solutions exacte d’équations de diffusion non linéaires qui apparaître dans le traitement de l'image appelée équation parabolique dégénérée. pour ça , nous avons utiliser les solutions auto-similaires générales et la méthode de profiles mobiles pour trouvée explicitement de nouvelles solutions exactes de cette équations sous quelques conditions. ces solutions explicites sont liées avec les phénomènes d'améliorations de contour. un cas particulier intéressant a été discuté , ce cas coïncide avec les solutions particulières appelées "solutions asymptotiques intermédiaires" utilisées pour étudier l'amélioration de contour

Citation

RAFAAChouder , ,(2018-02-11); Auto-simularité et contour d'image,University of M"sila,

We propose in this work to find explicit exact solutions called travelling profile solutions to a nonlinear diffusion equation that occurs in image processing. Some of these explicit solutions are related with the phenomenon of contour enhancement in image processing. We present a generalization of the results obtained by Barenblatt to study the contour enhancement in image processing for exponent range of parameter enhancement.

Citation

RAFAA Chouder , Benhamidouche NourEddine , , (2018-02-01), Travelling Profile Solutions For Nonlinear Degenerate Parabolic Equation And Contour Enhancement In Image Processing, Applied Mathematics E-Notes, Vol:18, Issue:1, pages:1-12, Applied Mathematics E-Notes

Abstract

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RAFAA Chouder , ,(2017-12-07), Les contours d'image par EDPs de diffusion,Journées doctorales du laboratoire de mathématiques pures et appliquées- JD 2017,University of M'sila

Abstract

Citation

RAFAA Chouder , ,(2016-12-01), New exact solutions to nonlinear diffusion equations that occur in image processing,Journées doctorales du laboratoire de mathématiques pures et appliquées- JD 2016,University of M'sila

Abstract

Citation

RAFAA Chouder , ,(2014-05-11), Self-similar asymptotics for nonlinear degenerate parabolic equations,CONGRÈS DES MATHÉMATICIENS ALGÉRIENS CMA’2014,Tlemcen, Algeria