A novel multi-modality image fusion method based on image decomposition and sparse representation

Z Zhu, H Yin, Y Chai, Y Li, G Qi - Information Sciences, 2018 - Elsevier
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 …

Applications of fractional calculus in computer vision: a survey

S Arora, T Mathur, S Agarwal, K Tiwari, P Gupta - Neurocomputing, 2022 - Elsevier
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 …

Proximal splitting methods in signal processing

PL Combettes, JC Pesquet - Fixed-point algorithms for inverse problems in …, 2011 - Springer
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 …

[图书][B] Linear and nonlinear inverse problems with practical applications

JL Mueller, S Siltanen - 2012 - SIAM
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 …

Signal recovery by proximal forward-backward splitting

PL Combettes, VR Wajs - Multiscale modeling & simulation, 2005 - SIAM
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 …

Image Decomposition and Restoration Using Total Variation Minimization and the H1

S Osher, A Solé, L Vese - Multiscale Modeling & Simulation, 2003 - SIAM
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 …

Research on image inpainting algorithm of improved total variation minimization method

Y Chen, H Zhang, L Liu, J Tao, Q Zhang… - Journal of Ambient …, 2023 - Springer
In order to solve the issue mismatching and structure disconnecting in exemplar-based
image inpainting, an image completion algorithm based on improved total variation …

Variational pansharpening by exploiting cartoon-texture similarities

X Tian, Y Chen, C Yang, J Ma - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
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 …

Resonance-based signal decomposition: A new sparsity-enabled signal analysis method

IW Selesnick - Signal Processing, 2011 - Elsevier
Numerous signals arising from physiological and physical processes, in addition to being
non-stationary, are moreover a mixture of sustained oscillations and non-oscillatory …

Learning invariant representation for unsupervised image restoration

W Du, H Chen, H Yang - … of the ieee/cvf conference on …, 2020 - openaccess.thecvf.com
Recently, cross domain transfer has been applied for unsupervised image restoration tasks.
However, directly applying existing frameworks would lead to domain-shift problems in …