Modification of the edge stopping function in anistropic diffusion process

Abstract

National audienceIn this paper we use an anisotropic diffusion process formulated in a level set framework using robust statistics. We show that smoothing, while preserving edges, helps the image segmentation of glenohumeral joint of shoulder for MRI data. The equation is based on an automatic edge stopping function that controls image smoothing. The link between robust statistics and anisotropic diffusion is used from the relationships between the edge stopping function, the influence function and the robust error norm of the estimator. We perform a comparison between three edge stopping functions, and then we propose to replace the Leclerc function already used in our diffusion equation by the Tukey's biweight function. Then we use the entropy criterion to evaluate our results and approve our choic