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Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

Optimization and Control · Mathematics 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

Regularization-based image restoration has remained an active research topic in computer vision and image processing. It often leverages a guidance signal captured in different fields as an additional cue. In this work, we present a general…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Youngjung Kim , Hyungjoo Jung , Dongbo Min , Kwanghoon Sohn

In this work we propose a novel postprocessing technique for compression-artifact reduction. Our approach is based on posing this task as an inverse problem, with a regularization that leverages on existing state-of-the-art image denoising…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Yehuda Dar , Alfred M. Bruckstein , Michael Elad , Raja Giryes

We introduce a new algorithm for regularized reconstruction of multispectral (MS) images from noisy linear measurements. Unlike traditional approaches, the proposed algorithm regularizes the recovery problem by using a prior specified…

Image and Video Processing · Electrical Eng. & Systems 2019-09-23 Jiaming Liu , Yu Sun , Ulugbek S. Kamilov

Sparse signal recovery based on nonconvex and nonsmooth optimization problems has significant applications and demonstrates superior performance in signal processing and machine learning. This work deals with a scale-invariant…

Optimization and Control · Mathematics 2025-09-29 Lang Yu , Nanjing Huang

The goal of this paper is to develop a novel numerical method for efficient multiplicative noise removal. The nonlocal self-similarity of natural images implies that the matrices formed by their nonlocal similar patches are low-rank. By…

Optimization and Control · Mathematics 2020-02-19 Xiaoxia Liu , Jian Lu , Lixin Shen , Chen Xu , Yuesheng Xu

This paper proposes a new technique based on nonlinear Adaptive Median filter (AMF) for image restoration. Image denoising is a common procedure in digital image processing aiming at the removal of noise, which may corrupt an image during…

Computer Vision and Pattern Recognition · Computer Science 2010-04-28 T. K. Thivakaran , RM. Chandrasekaran

Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective regularization strategies, achieving state-of-the-art…

Numerical Analysis · Mathematics 2026-04-23 Harshit Bajpai , Ankik Kumar Giri , Tim Jahn , Abhinav Jha

In this paper, we develop a dual alternating direction method of multipliers (ADMM) for an image decomposition model. In this model, an image is divided into two meaningful components, i.e., a cartoon part and a texture part. The…

Image and Video Processing · Electrical Eng. & Systems 2024-12-20 Qingsong Wang , Chengjing Wang , Peipei Tang , Dunbiao Niu

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

We propose an adaptive approach for non local means (NLM) image filtering termed as non local adaptive clipped means (NLACM), which reduces the effect of outliers and improves the denoising quality as compared to traditional NLM. Common…

Computer Vision and Pattern Recognition · Computer Science 2014-12-10 Raka Kundu , Amlan Chakrabarti , Prasanna Lenka

In multiband fusion, an image with a high spatial and low spectral resolution is combined with an image with a low spatial but high spectral resolution to produce a single multiband image having high spatial and spectral resolutions. This…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Unni V. S. , Pravin Nair , Kunal N. Chaudhury

Motivated by image recovery in magnetic resonance imaging (MRI), we propose a new approach to solving linear inverse problems based on iteratively calling a deep neural-network, sometimes referred to as plug-and-play recovery. Our approach…

Information Theory · Computer Science 2020-10-23 Subrata Sarkar , Rizwan Ahmad , Philip Schniter

Plug-and-play (PnP) methods that employ application-specific denoisers have been proposed to solve inverse problems, including MRI reconstruction. However, training application-specific denoisers is not feasible for many applications due to…

Image and Video Processing · Electrical Eng. & Systems 2021-10-19 Sizhuo Liu , Philip Schniter , Rizwan Ahmad

Image restoration schemes based on the pre-trained deep models have received great attention due to their unique flexibility for solving various inverse problems. In particular, the Plug-and-Play (PnP) framework is a popular and powerful…

Image and Video Processing · Electrical Eng. & Systems 2022-07-26 Chong Wang , Rongkai Zhang , Saiprasad Ravishankar , Bihan Wen

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Moreover,…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 Marien Renaud , Arthur Leclaire , Nicolas Papadakis

Plug-and-Play Priors (PnP) is a popular framework for solving imaging inverse problems by integrating learned priors in the form of denoisers trained to remove Gaussian noise from images. In standard PnP methods, the denoiser is applied…

Image and Video Processing · Electrical Eng. & Systems 2025-09-22 Edward P. Chandler , Shirin Shoushtari , Brendt Wohlberg , Ulugbek S. Kamilov

In this paper, we develop a class of block-coordinate Plug-and-Play (PnP) methods to address imaging inverse problems. The block-coordinate strategy is designed to reduce the high memory consumption arising in PnP methods that rely on…

Optimization and Control · Mathematics 2026-03-03 Federica Porta , Simone Rebegoldi , Andrea Sebastiani

In this work we propose a new paradigm for designing fast plug-and-play (PnP) algorithms using dimensionality reduction techniques. Unlike existing approaches which utilize stochastic gradient iterations for acceleration, we propose novel…

Image and Video Processing · Electrical Eng. & Systems 2022-03-15 Junqi Tang

Deterministic approaches using iterative optimisation have been historically successful in diffeomorphic image registration (DiffIR). Although these approaches are highly accurate, they typically carry a significant computational burden.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Alexander Thorley , Xi Jia , Hyung Jin Chang , Boyang Liu , Karina Bunting , Victoria Stoll , Antonio de Marvao , Declan P. O'Regan , Georgios Gkoutos , Dipak Kotecha , Jinming Duan