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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…

最优化与控制 · 数学 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

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…

数值分析 · 数学 2022-12-16 Andrea Ebner , Markus Haltmeier

Plug-and-play (PnP) is a non-convex framework that integrates modern denoising priors, such as BM3D or deep learning-based denoisers, into ADMM or other proximal algorithms. An advantage of PnP is that one can use pre-trained denoisers when…

计算机视觉与模式识别 · 计算机科学 2019-05-15 Ernest K. Ryu , Jialin Liu , Sicheng Wang , Xiaohan Chen , Zhangyang Wang , Wotao Yin

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…

机器学习 · 统计学 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

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…

最优化与控制 · 数学 2024-11-05 Arghya Sinha , Kunal N Chaudhury

ADMM-FFT is an iterative method with high reconstruction accuracy for laminography but suffers from excessive computation time and large memory consumption. We introduce mLR, which employs memoization to replace the time-consuming Fast…

分布式、并行与集群计算 · 计算机科学 2025-11-05 Bin Ma , Viktor Nikitin , Xi Wang , Tekin Bicer , Dong Li

Plug-and-play (PnP) denoising is a popular iterative framework for solving imaging inverse problems using off-the-shelf image denoisers. Their empirical success has motivated a line of research that seeks to understand the convergence of…

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…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Chirayu D. Athalye , Kunal N. Chaudhury , Bhartendu Kumar

We propose a state-of-the-art method for super-resolution with non-uniform blur. Single-image super-resolution methods seek to restore a high-resolution image from blurred, subsampled, and noisy measurements. Despite their impressive…

计算机视觉与模式识别 · 计算机科学 2024-05-24 Charles Laroche , Andrés Almansa , Matias Tassano

Plug-and-Play (PnP) is a non-convex optimization framework that combines proximal algorithms, for example, the alternating direction method of multipliers (ADMM), with advanced denoising priors. Over the past few years, great empirical…

计算机视觉与模式识别 · 计算机科学 2021-09-21 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Hua Huang , Carola-Bibiane Schönlieb

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…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Ruturaj G. Gavaskar , Kunal N. Chaudhury

Plug-and-play (PnP) methods for solving inverse problems have recently achieved strong performance by leveraging denoising priors based on powerful generative diffusion and flow models. However, existing diffusion- and flow-based PnP…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Hendrik Sommerhoff , Michael Moeller

For magnetic resonance imaging (MRI), recently proposed "plug-and-play" (PnP) image recovery algorithms have shown remarkable performance. These PnP algorithms are similar to traditional iterative algorithms like FISTA, ADMM, or primal-dual…

信息论 · 计算机科学 2020-12-03 Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

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…

图像与视频处理 · 电气工程与系统科学 2020-02-27 Xiaojian Xu , Jiaming Liu , Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Image restoration is typically addressed through non-convex inverse problems, which are often solved using first-order block-wise splitting methods. In this paper, we consider a general type of non-convex optimisation model that captures…

Plug-and-Play Alternating Direction Method of Multipliers (PnP-ADMM) is a widely-used algorithm for solving inverse problems by integrating physical measurement models and convolutional neural network (CNN) priors. PnP-ADMM has been…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Chicago Park , Shirin Shoushtari , Weijie Gan , Ulugbek S. Kamilov

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

信号处理 · 电气工程与系统科学 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

Removing optical and atmospheric blur from galaxy images significantly improves galaxy shape measurements for weak gravitational lensing and galaxy evolution studies. This ill-posed linear inverse problem is usually solved with…

天体物理仪器与方法 · 物理学 2023-03-29 Tianao Li , Emma Alexander

BM3D has been considered the standard for comparison in the image denoising literature for the last decade. Though it has been shown to be surpassed numerous times by alternative algorithms in terms of PSNR, the margins are very thin, and…

图像与视频处理 · 电气工程与系统科学 2022-03-02 Toby Sanders , Sean Larkin

Post-stack seismic inversion is a widely used technique to retrieve high-resolution acoustic impedance models from migrated seismic data. Its modelling operator assumes that a migrated seismic data can be generated from the convolution of a…

地球物理 · 物理学 2024-01-02 Nick Luiken , Juan Romero , Miguel Corrales , Matteo Ravasi