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The Nuclear Magnetic Resonance Imaging or the MRI is one of the different noninvasive imaging techniques that have emerged in the recent decades. Thanks to its findings in different types of diagnosis, the M.R. I. technique has become one of the most interesting and widely used methods in clinical diagnosis. This paper suggests a method of correction, denoising, and segmentation of the MRIimages. That is to say, this issue can be solved by a coupled system of linear and nonlinear diffusion-reaction equations. In fact, these equations are suggested and tested for the denoising of magnetic resonance images, in order to be applied for the segmentation of medical images M.R. I.