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Non-uniqueness and instability are characteristic features of image reconstruction processes. As a result, it is necessary to develop regularization methods that can be used to compute reliable approximate solutions. A regularization method…

Numerical Analysis · Mathematics 2022-12-16 Andrea Ebner , Markus Haltmeier

In the Plug-and-Play (PnP) method, a denoiser is used as a regularizer within classical proximal algorithms for image reconstruction. It is known that a broad class of linear denoisers can be expressed as the proximal operator of a convex…

Optimization and Control · Mathematics 2024-11-05 Arghya Sinha , Kunal N Chaudhury

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

Optimization and Control · Mathematics 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

Plug-and-play (PnP) method is a recent paradigm for image regularization, where the proximal operator (associated with some given regularizer) in an iterative algorithm is replaced with a powerful denoiser. Algorithmically, this involves…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Ruturaj G. Gavaskar , Kunal N. Chaudhury

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 regularization is performed by plugging a pre-trained denoiser in…

Optimization and Control · Mathematics 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

The use of denoisers for image reconstruction has shown significant potential, especially for the Plug-and-Play (PnP) framework. In PnP, a powerful denoiser is used as an implicit regularizer in proximal algorithms such as ISTA and ADMM.…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Arghya Sinha , Bhartendu Kumar , Chirayu D. Athalye , Kunal N. Chaudhury

In plug-and-play (PnP) regularization, the knowledge of the forward model is combined with a powerful denoiser to obtain state-of-the-art image reconstructions. This is typically done by taking a proximal algorithm such as FISTA or ADMM,…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Ruturaj G. Gavaskar , Chirayu D. Athalye , Kunal N. Chaudhury

A standard model for image reconstruction involves the minimization of a data-fidelity term along with a regularizer, where the optimization is performed using proximal algorithms such as ISTA and ADMM. In plug-and-play (PnP)…

Optimization and Control · Mathematics 2021-04-22 Pravin Nair , Ruturaj G. Gavaskar , Kunal N. Chaudhury

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

Machine Learning · Statistics 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Plug-and-Play (PnP) methods solve ill-posed inverse problems through iterative proximal algorithms by replacing a proximal operator by a denoising operation. When applied with deep neural network denoisers, these methods have shown…

Optimization and Control · Mathematics 2022-06-22 Samuel Hurault , Arthur Leclaire , Nicolas Papadakis

The plug-and-play (PnP) method uses a deep denoiser within a proximal algorithm for model-based image reconstruction (IR). Unlike end-to-end IR, PnP allows the same pretrained denoiser to be used across different imaging tasks, without the…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Arghya Sinha , Trishit Mukherjee , Kunal N. Chaudhury

Inverse problems appear in many applications, such as image deblurring and inpainting. The common approach to address them is to design a specific algorithm for each problem. The Plug-and-Play (P&P) framework, which has been recently…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Tom Tirer , Raja Giryes

In plug-and-play (PnP) regularization, the proximal operator in algorithms such as ISTA and ADMM is replaced by a powerful denoiser. This formal substitution works surprisingly well in practice. In fact, PnP has been shown to give…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Chirayu D. Athalye , Kunal N. Chaudhury , Bhartendu Kumar

Plug-and-Play Priors (PnP) and Regularisation by Denoising (RED) have established that image denoisers can effectively replace traditional regularisers in linear inverse problem solvers for tasks like super-resolution, demosaicing, and…

Image and Video Processing · Electrical Eng. & Systems 2025-12-05 Clément Bled , François Pitié

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Plug-and-play priors (PnP) is an image reconstruction framework that uses an image denoiser as an imaging prior. Unlike traditional regularized inversion, PnP does not require the prior to be expressible in the form of a regularization…

Image and Video Processing · Electrical Eng. & Systems 2020-02-27 Xiaojian Xu , Jiaming Liu , Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

The recently proposed plug-and-play (PnP) framework allows leveraging recent developments in image denoising to tackle other, more involved, imaging inverse problems. In a PnP method, a black-box denoiser is plugged into an iterative…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

In most state-of-the-art image restoration methods, the sum of a data-fidelity and a regularization term is optimized using an iterative algorithm such as ADMM (alternating direction method of multipliers). In recent years, the possibility…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Ruturaj G. Gavaskar , Kunal N. Chaudhury

In this paper, we introduce Plug-and-Play (PnP) Flow Matching, an algorithm for solving imaging inverse problems. PnP methods leverage the strength of pre-trained denoisers, often deep neural networks, by integrating them in optimization…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Ségolène Martin , Anne Gagneux , Paul Hagemann , Gabriele Steidl
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