Multi-modality image fusion is an effective technique to fuse the complementary information
from multi-modality images into an integrated image. The additional information can not only …

Fractional calculus is an abstract idea exploring interpretations of differentiation having non-
integer order. For a very long time, it was considered as a topic of mere theoretical interest …

The proximity operator of a convex function is a natural extension of the notion of a
projection operator onto a convex set. This tool, which plays a central role in the analysis …

Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

We show that various inverse problems in signal recovery can be formulated as the generic
problem of minimizing the sum of two convex functions with certain regularity properties …

In this paper, we propose a new model for image restoration and image decomposition into
cartoon and texture, based on the total variation minimization of Rudin, Osher, and Fatemi …

In order to solve the issue mismatching and structure disconnecting in exemplar-based
image inpainting, an image completion algorithm based on improved total variation …

Pansharpening aims to fuse a multispectral (MS) image with low spatial resolution and a
panchromatic (PAN) image with a high-spatial resolution to produce an image with both high …

Numerous signals arising from physiological and physical processes, in addition to being
non-stationary, are moreover a mixture of sustained oscillations and non-oscillatory …

Recently, cross domain transfer has been applied for unsupervised image restoration tasks.
However, directly applying existing frameworks would lead to domain-shift problems in …