Convex non-convex image segmentation

none4siFirst Online: 06 September 2017A convex non-convex variational model is proposed for multiphase image segmentation. We consider a specially designed non-convex regularization term which adapts spatially to the image structures for a better control of the segmentation boundary and an easy handling of the intensity inhomogeneities. The nonlinear optimization problem is efficiently solved by an alternating directions methods of multipliers procedure. We provide a convergence analysis and perform numerical experiments on several images, showing the effectiveness of this procedure.mixedRaymond Chan; Alessandro Lanza; Serena Morigi; Fiorella SgallariRaymond Chan; Alessandro Lanza; Serena Morigi; Fiorella Sgallar