The image's restoration is an essential step in medical imaging.Several Filters are developped to remove noise, the most interestingare filters who permits to denoise the image preserving semanticallyimportant structures. One class of recent adaptive denoising methodsis the nonlinear Partial Differential Equations who knows currently asignificant success. This work deals with mathematical study for aproposed nonlinear evolution partial differential equation for imageprocessing. The existence and the uniqueness of the solution areestablished. Using a finite differences method we experiment thevalidity of the proposed model and we illustrate the efficiently ofthe method using some medical images. The Signal to Noise Ration(SNR) number is used to estimate the quality of the restoredimages.
