Seminar Details
2019-09-17 (14:00) : Discrete Mumford-Shah model: from image restoration to graph analysis
At Euler building (room A.002)
Organized by Mathematical Engineering
Speaker :
Pustelnik, Nelly
Abstract :
The Mumford Shah model is a standard model in image segmentation and many approximations have been proposed in order to approximate it. The major interest of this functional is to be able to perform jointly image restoration and contour detection. In this work, we propose a general formulation of the discrete counterpart of the Mumford Shah functional. We derive a new proximal alternated minimization scheme, allowing to deal with the non-convex objective function, with proven convergence and numerical robustness to the initialization. The good behavior of the proposed strategy is evaluated and compared to state-of-the art approaches in image restoration and extended to graph analysis.