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Model-based optimization methods and discriminative learning methods have been the two dominant strategies for solving various inverse problems in low-level vision. Typically, those two kinds of methods have their respective merits and…

Computer Vision and Pattern Recognition · Computer Science 2017-04-12 Kai Zhang , Wangmeng Zuo , Shuhang Gu , Lei Zhang

Recently, impressive denoising results have been achieved by Bayesian approaches which assume Gaussian models for the image patches. This improvement in performance can be attributed to the use of per-patch models. Unfortunately such an…

Computer Vision and Pattern Recognition · Computer Science 2017-12-08 Cecilia Aguerrebere , Andrés Almansa , Julie Delon , Yann Gousseau , Pablo Musé

Because noise can interfere with downstream analysis, image denoising has come to occupy an important place in the image processing toolbox. The most accurate state-of-the-art denoisers typically train on a representative dataset. But…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Jason Lequyer , Wen-Hsin Hsu , Reuben Philip , Anna Christina Erpf , Laurence Pelletier

In recent years, there have been significant advances in the use of deep learning methods in inverse problems such as denoising, compressive sensing, inpainting, and super-resolution. While this line of works has predominantly been driven…

Machine Learning · Statistics 2023-01-31 Jonathan Scarlett , Reinhard Heckel , Miguel R. D. Rodrigues , Paul Hand , Yonina C. Eldar

Deep neural networks have been applied successfully to a wide variety of inverse problems arising in computational imaging. These networks are typically trained using a forward model that describes the measurement process to be inverted,…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Davis Gilton , Gregory Ongie , Rebecca Willett

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

Blind image deblurring (BID) is an ill-posed inverse problem, usually addressed by imposing prior knowledge on the (unknown) image and on the blurring filter. Most of the work on BID has focused on natural images, using image priors based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Marina Ljubenović , Mário A. T. Figueiredo

In this paper we consider inverse problems that are mathematically ill-posed. That is, given some (noisy) data, there is more than one solution that approximately fits the data. In recent years, deep neural techniques that find the most…

Machine Learning · Computer Science 2023-08-28 Moshe Eliasof , Eldad Haber , Eran Treister

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

Image restoration and enhancement is a process of improving the image quality by removing degradations, such as noise, blur, and resolution degradation. Deep learning (DL) has recently been applied to image restoration and enhancement. Due…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Yunfan Lu , Yiqi Lin , Hao Wu , Yunhao Luo , Xu Zheng , Hui Xiong , Lin Wang

Deep Learning in Image Registration (DLIR) methods have been tremendously successful in image registration due to their speed and ability to incorporate weak label supervision at training time. However, existing DLIR methods forego many of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Rohit Jena , Pratik Chaudhari , James C. Gee

Real-world noise removal is crucial in low-level computer vision. Due to the remarkable generation capabilities of diffusion models, recent attention has shifted towards leveraging diffusion priors for image restoration tasks. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Jun Cheng , Shan Tan

Fast convergence and high-quality image recovery are two essential features of algorithms for solving ill-posed imaging inverse problems. Existing methods, such as regularization by denoising (RED), often focus on designing sophisticated…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Marien Renaud , Julien Hermant , Deliang Wei , Yu Sun

The inductive bias of the convolutional neural network (CNN) can be a strong prior for image restoration, which is known as the Deep Image Prior (DIP). Recently, DIP is utilized in unsupervised dynamic MRI reconstruction, which adopts a…

Image and Video Processing · Electrical Eng. & Systems 2024-09-25 Zhongsen Li , Wenxuan Chen , Shuai Wang , Chuyu Liu , Qing Zou , Rui Li

Deep neural networks have proven extremely efficient at solving a wide rangeof inverse problems, but most often the uncertainty on the solution they provideis hard to quantify. In this work, we propose a generic Bayesian framework…

Machine Learning · Statistics 2020-11-18 Zaccharie Ramzi , Benjamin Remy , Francois Lanusse , Jean-Luc Starck , Philippe Ciuciu

Near-field radar imaging systems are used in a wide range of applications such as concealed weapon detection and medical diagnosis. In this paper, we consider the problem of reconstructing the three-dimensional (3D) complex-valued…

Image and Video Processing · Electrical Eng. & Systems 2024-03-15 Okyanus Oral , Figen S. Oktem

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

This paper proposes using a Gaussian mixture model as a prior, for solving two image inverse problems, namely image deblurring and compressive imaging. We capitalize on the fact that variable splitting algorithms, like ADMM, are able to…

Computer Vision and Pattern Recognition · Computer Science 2016-05-24 Afonso M. Teodoro , José M. Bioucas-Dias , Mário A. T. Figueiredo

Image denoising is an essential part of many image processing and computer vision tasks due to inevitable noise corruption during image acquisition. Traditionally, many researchers have investigated image priors for the denoising, within…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Jae Woong Soh , Nam Ik Cho

Inverse problems play a central role for many classical computer vision and image processing tasks. Many inverse problems are ill-posed, and hence require a prior to regularize the solution space. However, many of the existing priors, like…

Computer Vision and Pattern Recognition · Computer Science 2020-02-24 Franziska Schirrmacher , Thomas Köhler , Christian Riess