GUETTAF, AmiraSupervisor: CHOUDER, Rafaa2023-07-102023-07-102023-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/40250The use of (PDEs) has a long tradition in mathematical image processing. In particular, a very special place is a transport-diffusion PDE describing the physical phenomenon of osmosis for imaging application. The goal of this work is to study the foundations of osmosis filtering for imaging applications.enImage Processing, Edge Enhancement, Nonlinear Diffusion, Linear Diffusion, Finite Difference, osmosis filter, shadow removalThesis