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Magnetic Resonance Imaging (MRI) is a widely used medical imaging technique, but its long acquisition time can be a limiting factor in clinical settings. To address this issue, researchers have been exploring ways to reduce the acquisition…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Pu Yang , Bin Dong

Uncertainty quantification is crucial to inverse problems, as it could provide decision-makers with valuable information about the inversion results. For example, seismic inversion is a notoriously ill-posed inverse problem due to the…

Machine Learning · Statistics 2023-01-02 Muhammad Izzatullah , Tariq Alkhalifah , Juan Romero , Miguel Corrales , Nick Luiken , Matteo Ravasi

The spatial resolution of images of living samples obtained by fluorescence microscopes is physically limited due to the diffraction of visible light, which makes the study of entities of size less than the diffraction barrier (around 200…

Image and Video Processing · Electrical Eng. & Systems 2023-03-21 Vasiliki Stergiopoulou , Subhadip Mukherjee , Luca Calatroni , Laure Blanc-Féraud

This paper studies plug-and-play (PnP) Langevin sampling strategies for Bayesian inference in low-photon Poisson imaging problems, a challenging class of problems with significant applications in astronomy, medicine, and biology. PnP…

Computation · Statistics 2026-01-12 Teresa Klatzer , Savvas Melidonis , Marcelo Pereyra , Konstantinos C. Zygalakis

Deep learning methods have been successfully used in various computer vision tasks. Inspired by that success, deep learning has been explored in magnetic resonance imaging (MRI) reconstruction. In particular, integrating deep learning and…

Image and Video Processing · Electrical Eng. & Systems 2023-10-06 Peizhou Huang , Chaoyi Zhang , Xiaoliang Zhang , Xiaojuan Li , Liang Dong , Leslie Ying

The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against…

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Enrico Magli

Magnetic resonance imaging (MRI) is central to the diagnosis of multiple sclerosis, where the identification of biomarkers such as the central vein sign benefits from high-resolution images. However, most clinical brain MRI scans are…

Optimization and Control · Mathematics 2026-03-05 Matteo Cannas , Alice Mariottini , Luca Massacesi , Federica Porta , Simone Rebegoldi , Andrea Sebastiani

Radio map estimation (RME), also known as spectrum cartography, aims to reconstruct the strength of radio interference across different domains (e.g., space and frequency) from sparsely sampled measurements. To tackle this typical inverse…

Signal Processing · Electrical Eng. & Systems 2025-06-27 Le Xu , Lei Cheng , Junting Chen , Wenqiang Pu , Xiao Fu

Compressed sensing (CS) has been playing a key role in accelerating the magnetic resonance imaging (MRI) acquisition process. With the resurgence of artificial intelligence, deep neural networks and CS algorithms are being integrated to…

Image and Video Processing · Electrical Eng. & Systems 2021-12-24 Yutong Chen , Carola-Bibiane Schönlieb , Pietro Liò , Tim Leiner , Pier Luigi Dragotti , Ge Wang , Daniel Rueckert , David Firmin , Guang Yang

We present deformable unsupervised medical image registration using a randomly-initialized deep convolutional neural network (CNN) as regularization prior. Conventional registration methods predict a transformation by minimizing…

Image and Video Processing · Electrical Eng. & Systems 2019-08-05 Max-Heinrich Laves , Sontje Ihler , Tobias Ortmaier

Magnetic Resonance Imaging (MRI) is a noninvasive imaging technique that provides excellent soft-tissue contrast without using ionizing radiation. MRI's clinical application may be limited by long data acquisition time; therefore, MR image…

Image and Video Processing · Electrical Eng. & Systems 2020-12-11 Shen Zhao , Lee C. Potter , Rizwan Ahmad

Compressed sensing (CS) methods in magnetic resonance imaging (MRI) offer rapid acquisition and improved image quality but require iterative reconstruction schemes with regularization to enforce sparsity. Regardless of the difficulty in…

Computer Vision and Pattern Recognition · Computer Science 2018-09-19 Raji Susan Mathew , Joseph Suresh Paul

In this paper we consider a linear system represented by a coupling graph between subsystems and propose a distributed control scheme capable to guarantee asymptotic stability and satisfaction of constraints on system inputs and states.…

Systems and Control · Computer Science 2013-12-23 Stefano Riverso , Marcello Farina , Giancarlo Ferrari-Trecate

Plug-and-play Image Restoration (IR) has been widely recognized as a flexible and interpretable method for solving various inverse problems by utilizing any off-the-shelf denoiser as the implicit image prior. However, most existing methods…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Yuanzhi Zhu , Kai Zhang , Jingyun Liang , Jiezhang Cao , Bihan Wen , Radu Timofte , Luc Van Gool

Compressed sensing MRI seeks to accelerate MRI acquisition processes by sampling fewer k-space measurements and then reconstructing the missing data algorithmically. The success of these approaches often relies on strong priors or learned…

Computer Vision and Pattern Recognition · Computer Science 2025-01-10 Hyungjin Chung , Dohun Lee , Zihui Wu , Byung-Hoon Kim , Katherine L. Bouman , Jong Chul Ye

Plug-and-Play methods for image restoration are iterative algorithms that solve a variational problem to recover a clean image from a degraded observation. These algorithms are known to be flexible to changes of degradation and to perform…

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

We consider the problem of inferring high-dimensional data $\mathbf{x}$ in a model that consists of a prior $p(\mathbf{x})$ and an auxiliary differentiable constraint $c(\mathbf{x},\mathbf{y})$ on $x$ given some additional information…

Machine Learning · Computer Science 2023-01-10 Alexandros Graikos , Nikolay Malkin , Nebojsa Jojic , Dimitris Samaras

Convolutional Neural Networks (CNNs) are highly effective for image reconstruction problems. Typically, CNNs are trained on large amounts of training images. Recently, however, un-trained CNNs such as the Deep Image Prior and Deep Decoder…

Image and Video Processing · Electrical Eng. & Systems 2021-04-29 Mohammad Zalbagi Darestani , Reinhard Heckel