We propose the use of nonlocal operators to define new types of flows and functionals for
image processing and elsewhere. A main advantage over classical PDE-based algorithms …

Neighborhood filters are nonlocal image and movie filters which reduce the noise by
averaging similar pixels. The first object of the paper is to present a unified theory of these …

We introduce a nonlocal discrete regularization framework on weighted graphs of the
arbitrary topologies for image and manifold processing. The approach considers the …

A nonlocal quadratic functional of weighted differences is examined. The weights are based
on image features and represent the affinity between different pixels in the image. By …

In this paper, we consider a variational restoration model consisting of the I-divergence as
data fitting term and the total variation semi-norm or nonlocal means as regularizer for …

This article proposes a new framework to regularize linear inverse problems using the total
variation on non-local graphs. This non-local graph allows to adapt the penalization to the …

This paper contributes two novel techniques in the context of image restoration by nonlocal
filtering. First, we introduce an efficient implementation of the nonlocal means filter based on …

Improving the modeling of natural images is important to go beyond the state-of-the-art for
many image processing tasks such as compression, denoising, inverse problems, and …

We examine the underlying structure of popular algorithms for variational methods used in
image processing. We focus here on operator splittings and Bregman methods based on a …

We propose here a class of restoration algorithms for color images, based upon the
Mumford-Shah (MS) model and nonlocal image information. The Ambrosio-Tortorelli and …