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Due to the development of deep learning-based denoisers, the plug-and-play strategy has achieved great success in image restoration problems. However, existing plug-and-play image restoration methods are designed for non-blind Gaussian…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Yutong Li , Yuping Duan

Bayesian inference for inverse problems hinges critically on the choice of priors. In the absence of specific prior information, population-level distributions can serve as effective priors for parameters of interest. With the advent of…

Instrumentation and Methods for Astrophysics · Physics 2025-02-11 Gabriel Missael Barco , Alexandre Adam , Connor Stone , Yashar Hezaveh , Laurence Perreault-Levasseur

Image deconvolution is the process of recovering convolutional degraded images, which is always a hard inverse problem because of its mathematically ill-posed property. On the success of the recently proposed deep image prior (DIP), we…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Zhunxuan Wang , Zipei Wang , Qiqi Li , Hakan Bilen

Generative models, such as GANs, learn an explicit low-dimensional representation of a particular class of images, and so they may be used as natural image priors for solving inverse problems such as image restoration and compressive…

Machine Learning · Computer Science 2025-10-28 Mara Daniels , Paul Hand , Reinhard Heckel

In this paper we introduce a natural image prior that directly represents a Gaussian-smoothed version of the natural image distribution. We include our prior in a formulation of image restoration as a Bayes estimator that also allows us to…

Computer Vision and Pattern Recognition · Computer Science 2017-10-05 Siavash Arjomand Bigdeli , Meiguang Jin , Paolo Favaro , Matthias Zwicker

Recent work has shown the effectiveness of the plug-and-play priors (PnP) framework for regularized image reconstruction. However, the performance of PnP depends on the quality of the denoisers used as priors. In this letter, we design a…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Guangxiao Song , Yu Sun , Jiaming Liu , Zhijie Wang , Ulugbek S. Kamilov

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

The "deep image prior" proposed by Ulyanov et al. is an intriguing property of neural nets: a convolutional encoder-decoder network can be used as a prior for natural images. The network architecture implicitly introduces a bias; If we…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Prithvijit Chakrabarty , Subhransu Maji

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Recent work has shown that the structure of deep convolutional neural networks can be used as a structured image prior for solving various inverse image restoration tasks. Instead of using hand-designed architectures, we propose to search…

Computer Vision and Pattern Recognition · Computer Science 2020-08-27 Yun-Chun Chen , Chen Gao , Esther Robb , Jia-Bin Huang

Automatic segmentation of the musculoskeletal system in pediatric magnetic resonance (MR) images is a challenging but crucial task for morphological evaluation in clinical practice. We propose a deep learning-based regularized segmentation…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 Arnaud Boutillon , Bhushan Borotikar , Christelle Pons , Valérie Burdin , Pierre-Henri Conze

Deep neural network approaches to inverse imaging problems have produced impressive results in the last few years. In this paper, we consider the use of generative models in a variational regularisation approach to inverse problems. The…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Margaret Duff , Neill D. F. Campbell , Matthias J. Ehrhardt

Implicit neural representations (INRs) have emerged as a powerful paradigm for medical imaging via physics-informed unsupervised learning. Classical INRs optimize an entire network from scratch for each subject, leading to inefficient…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Qing Wu , Xuanyu Tian , Chenhe Du , Haonan Zhang , Xiao Wang , Le Lu , Yuyao Zhang

We present Neural Shape Deformation Priors, a novel method for shape manipulation that predicts mesh deformations of non-rigid objects from user-provided handle movements. State-of-the-art methods cast this problem as an optimization task,…

Computer Vision and Pattern Recognition · Computer Science 2023-02-02 Jiapeng Tang , Lev Markhasin , Bi Wang , Justus Thies , Matthias Nießner

Multiple low-vision tasks such as denoising, deblurring and super-resolution depart from RGB images and further reduce the degradations, improving the quality. However, modeling the degradations in the sRGB domain is complicated because of…

Image and Video Processing · Electrical Eng. & Systems 2024-09-30 Marcos V. Conde , Florin Vasluianu , Radu Timofte

The Bayesian statistical framework provides a systematic approach to enhance the regularization model by incorporating prior information about the desired solution. For the Bayesian linear inverse problems with Gaussian noise and Gaussian…

Numerical Analysis · Mathematics 2024-05-21 Haibo Li

Image denoising is the process of removing noise from noisy images, which is an image domain transferring task, i.e., from a single or several noise level domains to a photo-realistic domain. In this paper, we propose an effective image…

Image and Video Processing · Electrical Eng. & Systems 2019-06-05 Xianxu Hou , Hongming Luo , Jingxin Liu , Bolei Xu , Ke Sun , Yuanhao Gong , Bozhi Liu , Guoping Qiu

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

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

In various scientific and engineering applications, there is typically an approximate model of the underlying complex system, even though it contains both aleatoric and epistemic uncertainties. In this paper, we present a principled method…

Machine Learning · Computer Science 2023-12-15 Frank Liu , Agniva Chowdhury
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