Image denoising: The deep learning revolution and beyond—a survey paper

M Elad, B Kawar, G Vaksman - SIAM Journal on Imaging Sciences, 2023 - SIAM
Image denoising—removal of additive white Gaussian noise from an image—is one of the
oldest and most studied problems in image processing. Extensive work over several …

Learning weakly convex regularizers for convergent image-reconstruction algorithms

A Goujon, S Neumayer, M Unser - SIAM Journal on Imaging Sciences, 2024 - SIAM
We propose to learn non-convex regularizers with a prescribed upper bound on their weak-
convexity modulus. Such regularizers give rise to variational denoisers that minimize a …

Convergent bregman plug-and-play image restoration for poisson inverse problems

S Hurault, U Kamilov, A Leclaire… - Advances in Neural …, 2023 - proceedings.neurips.cc
Abstract Plug-and-Play (PnP) methods are efficient iterative algorithms for solving ill-posed
image inverse problems. PnP methods are obtained by using deep Gaussian denoisers …

Provably convergent plug-and-play quasi-Newton methods

HY Tan, S Mukherjee, J Tang, CB Schönlieb - SIAM Journal on Imaging …, 2024 - SIAM
Plug-and-Play (PnP) methods are a class of efficient iterative methods that aim to combine
data fidelity terms and deep denoisers using classical optimization algorithms, such as ISTA …

Plug-and-play image reconstruction is a convergent regularization method

A Ebner, M Haltmeier - IEEE Transactions on Image Processing, 2024 - ieeexplore.ieee.org
Non-uniqueness and instability are characteristic features of image reconstruction methods.
As a result, it is necessary to develop regularization methods that can be used to compute …

Weakly convex regularisers for inverse problems: Convergence of critical points and primal-dual optimisation

Z Shumaylov, J Budd, S Mukherjee… - arxiv preprint arxiv …, 2024 - arxiv.org
Variational regularisation is the primary method for solving inverse problems, and recently
there has been considerable work leveraging deeply learned regularisation for enhanced …

Stability of data-dependent ridge-regularization for inverse problems

S Neumayer, F Altekrüger - arxiv preprint arxiv:2406.12289, 2024 - arxiv.org
Theoretical guarantees for the robust solution of inverse problems have important
implications for applications. To achieve both guarantees and high reconstruction quality …

Convergent plug-and-play with proximal denoiser and unconstrained regularization parameter

S Hurault, A Chambolle, A Leclaire… - Journal of Mathematical …, 2024 - Springer
In this work, we present new proofs of convergence for plug-and-play (PnP) algorithms. PnP
methods are efficient iterative algorithms for solving image inverse problems where …

Learning with fixed point condition for convergent PnP PET reconstruction

M Savanier, C Comtat, F Sureau - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
This work explores plug-and-play algorithms for PET reconstruction, combining deep
learning with model-based variational methods. We aim to integrate classical convolutional …

Convergent plug-and-play methods for image inverse problems with explicit and nonconvex deep regularization

S Hurault - 2023 - theses.hal.science
Plug-and-play methods constitute a class of iterative algorithms for imaging inverse
problems where regularization is performed by an off-the-shelf Gaussian denoiser. These …