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Plug-and-play (PnP) is a non-convex framework that combines ADMM or other proximal algorithms with advanced denoiser priors. Recently, PnP has achieved great empirical success, especially with the integration of deep learning-based…

Image and Video Processing · Electrical Eng. & Systems 2020-11-19 Kaixuan Wei , Angelica Aviles-Rivero , Jingwei Liang , Ying Fu , Carola-Bibiane Schönlieb , Hua Huang

Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularization is typically necessary to ensure accurate and stable…

Machine Learning · Computer Science 2021-04-30 Howard Heaton , Samy Wu Fung , Aviv Gibali , Wotao Yin

To solve inverse problems, plug-and-play (PnP) methods replace the proximal step in a convex optimization algorithm with a call to an application-specific denoiser, often implemented using a deep neural network (DNN). Although such methods…

Image and Video Processing · Electrical Eng. & Systems 2022-09-08 Saurav K. Shastri , Rizwan Ahmad , Christopher A. Metzler , Philip Schniter

The recent emergence of diffusion models has significantly advanced the precision of learnable priors, presenting innovative avenues for addressing inverse problems. Since inverse problems inherently entail maximum a posteriori estimation,…

Machine Learning · Computer Science 2025-01-22 Jiawei Zhang , Jiaxin Zhuang , Cheng Jin , Gen Li , Yuantao Gu

Existing learning-based denoising methods typically train models to generalize the image prior from large-scale datasets, suffering from the variability in noise distributions encountered in real-world scenarios. In this work, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2025-07-31 Yuanfei Huang , Hua Huang

Zero-shot image restoration (IR) methods based on pretrained diffusion models have recently achieved significant success. These methods typically require at least a parametric form of the degradation model. However, in real-world scenarios,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Hamadi Chihaoui , Paolo Favaro

Restoring and inpainting the visual memories that are present, but often impaired, in old photos remains an intriguing but unsolved research topic. Decades-old photos often suffer from severe and commingled degradation such as cracks,…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Runsheng Xu , Zhengzhong Tu , Yuanqi Du , Xiaoyu Dong , Jinlong Li , Zibo Meng , Jiaqi Ma , Alan Bovik , Hongkai Yu

We study a new family of inverse problems for recovering representations of corrupted data. We assume access to a pre-trained representation learning network R(x) that operates on clean images, like CLIP. The problem is to recover the…

Machine Learning · Computer Science 2021-10-28 Sriram Ravula , Georgios Smyrnis , Matt Jordan , Alexandros G. Dimakis

Signal reconstruction is a challenging aspect of computational imaging as it often involves solving ill-posed inverse problems. Recently, deep feed-forward neural networks have led to state-of-the-art results in solving various inverse…

Computer Vision and Pattern Recognition · Computer Science 2018-04-25 Akshat Dave , Anil Kumar Vadathya , Ramana Subramanyam , Rahul Baburajan , Kaushik Mitra

Model-based methods play a key role in the reconstruction of compressed sensing (CS) MRI. Finding an effective prior to describe the statistical distribution of the image family of interest is crucial for model-based methods. Plug-and-play…

Image and Video Processing · Electrical Eng. & Systems 2024-11-27 Tao Hong , Xiaojian Xu , Jason Hu , Jeffrey A. Fessler

Text image super-resolution (Text-SR) requires more than visually plausible detail synthesis: slight errors in stroke topology may alter character identity and break readability. Existing methods improve text fidelity with stronger…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Zihang Xu , Xiaoyang Liu , Zheng Chen , Yulun Zhang , Xiaokang Yang

Image reconstruction is an inverse problem that solves for a computational image based on sampled sensor measurement. Sparsely sampled image reconstruction poses addition challenges due to limited measurements. In this work, we propose an…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Liyue Shen , John Pauly , Lei Xing

Deep image prior (DIP) is a recently proposed technique for solving imaging inverse problems by fitting the reconstructed images to the output of an untrained convolutional neural network. Unlike pretrained feedforward neural networks, the…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Kevin Zhang , Mingyang Xie , Maharshi Gor , Yi-Ting Chen , Yvonne Zhou , Christopher A. Metzler

We consider solving ill-posed imaging inverse problems without access to an image prior or ground-truth examples. An overarching challenge in these inverse problems is that an infinite number of images, including many that are implausible,…

Image and Video Processing · Electrical Eng. & Systems 2023-11-02 Oscar Leong , Angela F. Gao , He Sun , Katherine L. Bouman

Plug-and-play (PnP) methods are widely used for solving imaging inverse problems by incorporating a denoiser into optimization algorithms. Score-based diffusion models (SBDMs) have recently demonstrated strong generative performance through…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Chicago Y. Park , Edward P. Chandler , Yuyang Hu , Michael T. McCann , Cristina Garcia-Cardona , Brendt Wohlberg , Ulugbek S. Kamilov

Image signals typically are defined on a rectangular two-dimensional grid. However, there exist scenarios where this is not fulfilled and where the image information only is available for a non-regular subset of pixel position. For…

Image and Video Processing · Electrical Eng. & Systems 2022-07-15 Jürgen Seiler , André Kaup

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

Image and Video Processing · Electrical Eng. & Systems 2025-06-12 Mahrokh Najaf , Gregory Ongie

We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

Inverse problems have many applications in science and engineering. In Computer vision, several image restoration tasks such as inpainting, deblurring, and super-resolution can be formally modeled as inverse problems. Recently, methods have…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Sai Bharath Chandra Gutha , Ricardo Vinuesa , Hossein Azizpour

Implicit neural representations (INRs) have demonstrated strong capabilities in various medical imaging tasks, such as denoising, registration, and segmentation, by representing images as continuous functions, allowing complex details to be…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Younès Moussaoui , Diana Mateus , Nasrin Taheri , Saïd Moussaoui , Thomas Carlier , Simon Stute
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