NUMERICAL RESOLUTION OF THE NON-LINEAR NON-ISOTROPIC DIFFUSION EQUATION IN DIMENSION 2 WITH NOISE EFFECT: APPLICATION TO IMAGE PROCESSING.

The application of the numerical resolution of partial differential equations to images constitutes one of the types of tools used in image processing. From the work thus carried out, it emerges, following the analysis of the objective statistical criteria obtained, that the proposed model, in particular that with the effect of colored noise, enables more effective filtering of images compared with the Perona-Malik model and with the Catte et Al model for certain well-defined values of the study parameters.