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Inverse problems in image processing are typically cast as optimization tasks, consisting of data-fidelity and stabilizing regularization terms. A recent regularization strategy of great interest utilizes the power of denoising engines. Two…

Image and Video Processing · Electrical Eng. & Systems 2020-10-30 Regev Cohen , Michael Elad , Peyman Milanfar

Regularization by denoising (RED) is a widely-used framework for solving inverse problems by leveraging image denoisers as image priors. Recent work has reported the state-of-the-art performance of RED in a number of imaging applications…

Image and Video Processing · Electrical Eng. & Systems 2022-02-11 Yuyang Hu , Jiaming Liu , Xiaojian Xu , Ulugbek S. Kamilov

Models play an important role in inverse problems, serving as the prior for representing the original signal to be recovered. REgularization by Denoising (RED) is a recently introduced general framework for constructing such priors using…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 Tao Hong , Yaniv Romano , Michael Elad

Regularization by Denoising (RED) is a well-known method for solving image restoration problems by using learned image denoisers as priors. Since the regularization parameter in the traditional RED does not have any physical interpretation,…

Optimization and Control · Mathematics 2024-01-15 Pasquale Cascarano , Alessandro Benfenati , Ulugbek S. Kamilov , Xiaojian Xu

The vast majority of image recovery tasks are ill-posed problems. As such, methods that are based on optimization use cost functions that consist of both fidelity and prior (regularization) terms. A recent line of works imposes the prior by…

Image and Video Processing · Electrical Eng. & Systems 2021-01-28 Einav Yogev-Ofer , Tom Tirer , Raja Giryes

Regularization by Denoising (RED), as recently proposed by Romano, Elad, and Milanfar, is powerful image-recovery framework that aims to minimize an explicit regularization objective constructed from a plug-in image-denoising function.…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Edward T. Reehorst , Philip Schniter

Regularization by denoising (RED) is a recently developed framework for solving inverse problems by integrating advanced denoisers as image priors. Recent work has shown its state-of-the-art performance when combined with pre-trained deep…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 Yu Sun , Jiaming Liu , Yiran Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

Regularization by denoising (RED) is a powerful framework for solving imaging inverse problems. Most RED algorithms are iterative batch procedures, which limits their applicability to very large datasets. In this paper, we address this…

Image and Video Processing · Electrical Eng. & Systems 2019-09-06 Zihui Wu , Yu Sun , Jiaming Liu , Ulugbek S. Kamilov

Dynamic imaging addresses the recovery of a time-varying 2D or 3D object at each time instant using its undersampled measurements. In particular, in the case of dynamic tomography, only a single projection at a single view angle may be…

Image and Video Processing · Electrical Eng. & Systems 2024-05-09 Berk Iskender , Marc L. Klasky , Yoram Bresler

Regularization by denoising (RED) is a broadly applicable framework for solving inverse problems by using priors specified as denoisers. While RED has been shown to provide state-of-the-art performance in a number of applications, existing…

Image and Video Processing · Electrical Eng. & Systems 2020-11-30 Mingyang Xie , Yu Sun , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

Inverse problems in imaging are extensively studied, with a variety of strategies, tools, and theory that have been accumulated over the years. Recently, this field has been immensely influenced by the emergence of deep-learning techniques.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Gary Mataev , Michael Elad , Peyman Milanfar

Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

Machine Learning · Computer Science 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

Recently the field of inverse problems has seen a growing usage of mathematically only partially understood learned and non-learned priors. Based on first principles, we develop a projectional approach to inverse problems that addresses the…

Machine Learning · Computer Science 2019-08-07 Sören Dittmer , Peter Maass

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

We consider the problem of estimating a vector from its noisy measurements using a prior specified only through a denoising function. Recent work on plug-and-play priors (PnP) and regularization-by-denoising (RED) has shown the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-23 Yu Sun , Jiaming Liu , Ulugbek S. Kamilov

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

Image and Video Processing · Electrical Eng. & Systems 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

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

In this paper, we propose an interpretable denoising method for graph signals using regularization by denoising (RED). RED is a technique developed for image restoration that uses an efficient (and sometimes black-box) denoiser in the…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Hayate Kojima , Hiroshi Higashi , Yuichi Tanaka

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers
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