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The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Leonid P. Yaroslavsky

Compressive sensing promises to enable bandwidth-efficient on-board compression of astronomical data by lifting the encoding complexity from the source to the receiver. The signal is recovered off-line, exploiting GPUs parallel computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-14 Attilio Fiandrotti , Sophie M. Fosson , Chiara Ravazzi , Enrico Magli

Dynamic MRI reconstruction from undersampled measurements is a challenging inverse problem that requires preserving both spatial reconstruction quality and temporal consistency across the frames of the cine series. While recent…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Yongliang Sun , Siddhant Gautam , Chaoyan Huang , Nicole Seiberlich , Ismail Alkhouri , Saiprasad Ravishankar

Magnetic resonance imaging (MRI) nowadays serves as an important modality for diagnostic and therapeutic guidance in clinics. However, the {\it slow acquisition} process, the dynamic deformation of organs, as well as the need for {\it…

Machine Learning · Computer Science 2016-09-15 Morteza Mardani , Georgios B. Giannakis , Kamil Ugurbil

MR-STAT is an emerging quantitative magnetic resonance imaging technique which aims at obtaining multi-parametric tissue parameter maps from single short scans. It describes the relationship between the spatial-domain tissue parameters and…

In this paper, the problem of developing universal algorithms for compressed sensing of stochastic processes is studied. First, R\'enyi's notion of information dimension (ID) is generalized to analog stationary processes. This provides a…

Information Theory · Computer Science 2016-01-27 Shirin Jalali , H. Vincent Poor

Magnetic resonance imaging (MRI) is widely used in clinical practice, but it has been traditionally limited by its slow data acquisition. Recent advances in compressed sensing (CS) techniques for MRI reduce acquisition time while…

Image and Video Processing · Electrical Eng. & Systems 2019-11-06 Bihan Wen , Saiprasad Ravishankar , Luke Pfister , Yoram Bresler

Magnetic resonance imaging (MRI) is a crucial tool for clinical diagnosis while facing the challenge of long scanning time. To reduce the acquisition time, fast MRI reconstruction aims to restore high-quality images from the undersampled…

Image and Video Processing · Electrical Eng. & Systems 2025-03-14 Yucong Meng , Zhiwei Yang , Minghong Duan , Yonghong Shi , Zhijian Song

Accelerated magnetic resonance imaging resorts to either Fourier-domain subsampling or better reconstruction algorithms to deal with fewer measurements while still generating medical images of high quality. Determining the optimal sampling…

Machine Learning · Computer Science 2023-08-30 Zhishen Huang

Purpose: Design of a preconditioner for fast and efficient parallel imaging and compressed sensing reconstructions. Theory: Parallel imaging and compressed sensing reconstructions become time consuming when the problem size or the number of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Kirsten Koolstra , Jeroen van Gemert , Peter Börnert , Andrew Webb , Rob Remis

This article presents a novel undersampled magnetic resonance imaging (MRI) technique that leverages the concept of Neural Radiance Field (NeRF). With radial undersampling, the corresponding imaging problem can be reformulated into an image…

Image and Video Processing · Electrical Eng. & Systems 2024-03-05 Tae Jun Jang , Chang Min Hyun

Image reconstruction from undersampled k-space data has been playing an important role for fast MRI. Recently, deep learning has demonstrated tremendous success in various fields and also shown potential to significantly speed up MR…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Dong Liang , Jing Cheng , Ziwen Ke , Leslie Ying

Real-time magnetic resonance imaging (MRI) poses unique challenges related to the speed of data acquisition and to the degree of undersampling necessary to achieve this speed. This Master's thesis introduces and evaluates two pre-processing…

Medical Physics · Physics 2019-06-13 H. Christian M. Holme

Magnetic resonance imaging (MRI) offers the flexibility to image a given anatomic volume under a multitude of tissue contrasts. Yet, scan time considerations put stringent limits on the quality and diversity of MRI data. The gold-standard…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Mahmut Yurt , Muzaffer Özbey , Salman Ul Hassan Dar , Berk Tınaz , Kader Karlı Oğuz , Tolga Çukur

Magnetic resonance imaging (MRI) is highly susceptible to patient motion due to its relatively long acquisition times and the fact that data are acquired sequentially in k-space. Even small patient movements introduce phase inconsistencies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Antonio Ortiz-Gonzalez , Erich Kobler , Lukas Schletter , Alexander Effland

MR data are acquired in the frequency domain, known as k-space. Acquiring high-quality and high-resolution MR images can be time-consuming, posing a significant challenge when multiple sequences providing complementary contrast information…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Georgia Kanli , Daniele Perlo , Selma Boudissa , Radovan Jirik , Olivier Keunen

Recent accelerated MRI reconstruction models have used Deep Neural Networks (DNNs) to reconstruct relatively high-quality images from highly undersampled k-space data, enabling much faster MRI scanning. However, these techniques sometimes…

Image and Video Processing · Electrical Eng. & Systems 2021-04-12 Itzik Malkiel , Sangtae Ahn , Valentina Taviani , Anne Menini , Lior Wolf , Christopher J. Hardy

Accelerating Magnetic Resonance Imaging (MRI) by taking fewer measurements has the potential to reduce medical costs, minimize stress to patients and make MRI possible in applications where it is currently prohibitively slow or expensive.…

Speeding up the data acquisition is one of the central aims to advance tomographic imaging. On the one hand, this reduces motion artifacts due to undesired movements, and on the other hand this decreases the examination time for the…

Numerical Analysis · Mathematics 2015-01-20 Michael Sandbichler , Felix Krahmer , Thomas Berer , Peter Burgholzer , Markus Haltmeier

Magnetic resonance image (MRI) reconstruction is a severely ill-posed linear inverse task demanding time and resource intensive computations that can substantially trade off {\it accuracy} for {\it speed} in real-time imaging. In addition,…

Computer Vision and Pattern Recognition · Computer Science 2017-06-02 Morteza Mardani , Enhao Gong , Joseph Y. Cheng , Shreyas Vasanawala , Greg Zaharchuk , Marcus Alley , Neil Thakur , Song Han , William Dally , John M. Pauly , Lei Xing
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