Abstract—The generation process of medical images is inevitably accompanied by a certain noise which degrades the quality of the image and assigns the final clinical diagnosis. Therefore, the denoising step plays an important role in the treatment of medical images in order to prepare the steps of diagnosis and therapy. In this paper, we propose a nonlinear diffusion model for denoising of large size images. The numerical approach to this problem is based on an algorithm combining the methods of finite element and of domain decomposition. Numerical simulations show that the proposed algorithm is a useful alternative for the treatment of degraded images large size.

Index Terms—Denoising, domain decomposition method, finite difference method, finite element method, nonlinear diffusion.

K. Bellaj, S. Boujena, and O. Gouasnouane are with MACS, Mathematics and Computing Department, Ain Chock Science Faculty Km 8 Route El Jadida P.O. Box 5366Maarif, Casablanca, Morocco (email: bellaj.khalid@gmail.com).
E. El Guarmah is with Royal Air School, Mathematics and Computing Department, DFST, BEFRA P.O. Box 40002, Menara, Marrakech, Morocco.

Cite: K. Bellaj, S. Boujena, E. El Guarmah, O. Gouasnouane, "One Approach for Image Denoising Based on Finite Element Method and Domain Decomposition Technique," International Journal of Applied Physics and Mathematics vol. 7, no. 2, pp. 141-147, 2017.