Nonsmooth nonconvex regularization has remarkable advantages for the restoration of piecewise constant images. Constrained optimization can improve the image restoration using a priori information. In this paper, we study regularized nonsmooth nonconvex minimization with box constraints for image restoration. We present a computable positive constant θ for using nonconvex nonsmooth regularizat...

Abstract. Nonsmooth nonconvex regularization has remarkable advantages for the restoration of piecewise constant images. Constrained optimization can improve the image restoration using a priori information. In this paper, we study regularized nonsmooth nonconvex minimization with box constraints for image restoration. We present a computable positive constant θ for using nonconvex nonsmooth re...

Kuzmin-Osledets formulations of compressible Euler equations for the barotropic case are considered. Exact results and physical interpretations are given. Symmetry restoration taking place at the Lagrangian level is pointed out. Permanent Address: University of Central Florida, Orlando, Florida, 32816-1364

This paper summarizes a new Bayesian method for edge-preserving image restoration from noisy measurements. The line-site method of Geman and Geman forces region boundaries to lie along pixel boundaries, which is unnatural, particularly for 3D data. Here, we augment the intensity process with a binary “mixture site” process, which has one parameter for each pixel indicating the presence of a bou...

Partial restoration in nuclear matter of the chiral symmetry of QCD is discussed together with some of its possible signals. Estimates of corrections to the leading, linear dependence of the quark condensate are found to be small, implying a significant reduction of that condensate in matter. The importance of the pion cloud for the scalar quark density of a single nucleon indicates a close con...

Frame-based image restoration by using balanced approach has been developed over the last decade. Many recently developed algorithms for image restoration can be viewed as an acceleration of the proximal forward-backward splitting algorithm. Accelerated proximal gradient algorithms studied by Nesterov, Nemirovski, and others have been demonstrated to be efficient in solving various regularized ...