A family of the block matching 3-D (BM3D) algorithms for various imaging problems has
been recently proposed within the framework of nonlocal patchwise image modeling,. In this …

The block matching 3D (BM3D) is an efficient image model, which has found few
applications other than its niche area of denoising. We will develop a magnetic resonance …

Speckle reduction is a longstanding topic in synthetic aperture radar (SAR) imaging. Since
most current and planned SAR imaging satellites operate in polarimetric, interferometric, or …

Regularization approaches have demonstrated their effectiveness for solving ill-posed
problems. However, in the context of variational restoration methods, a challenging question …

Abstract Properties of compositions and convex combinations of averaged nonexpansive
operators are investigated and applied to the design of new fixed point algorithms in Hilbert …

We consider the minimization of a smooth convex function regularized by the composite
prior models. This problem is generally difficult to solve even if each subproblem regularized …

In this paper, we propose a fast and efficient way to restore blurred and noisy images with a
high-order total variation minimization technique. The proposed method is based on an …

There is a recurrent idea being promoted in the recent literature on iterative solvers for
imaging problems, the idea being the use of an actual denoising step in each iteration. We …

In recent years, proximal splitting algorithms have been applied to various monocomponent
signal and image recovery problems. In this paper, we address the case of multicomponent …

Spectral computed tomography (CT) reconstructs the same scanned object from projections
of multiple narrow energy windows, and it can be used for material identification and …