Medical imaging is crucial in modern clinics to provide guidance to the diagnosis and
treatment of diseases. Medical image reconstruction is one of the most fundamental and …

This paper comprehensively reviews the recent development of image deblurring, including
non-blind/blind, spatially invariant/variant deblurring techniques. Indeed, these techniques …

This handbook covers the peridynamic modeling of failure and damage. Peridynamics is a
reformulation of continuum mechanics based on integration of interactions rather than …

Partial differential equations (PDEs) are used with huge success to model phenomena
across all scientific and engineering disciplines. However, across an equally wide swath …

A recently developed nonlocal vector calculus is exploited to provide a variational analysis
for a general class of nonlocal diffusion problems described by a linear integral equation on …

This paper deals with the integral version of the Dirichlet homogeneous fractional Laplace
equation. For this problem weighted and fractional Sobolev a priori estimates are provided …

Bregman methods introduced in S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin,
Multiscale Model. Simul., 4 (2005), pp. 460–489 to image processing are demonstrated to …

Since the scan line corrector (SLC) of the Landsat Enhanced Thematic Mapper Plus (ETM+)
sensor failed permanently in 2003, about 22% of the pixels in an SLC-off image are not …

The search for efficient image denoising methods is still a valid challenge at the crossing of
functional analysis and statistics. In spite of the sophistication of the recently proposed …

We review the evolution of the nonparametric regression modeling in imaging from the local
Nadaraya-Watson kernel estimate to the nonlocal means and further to transform-domain …