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Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

The ability of snapshot compressive imaging (SCI) systems to efficiently capture high-dimensional (HD) data depends on the advent of novel optical designs to sample the HD data as two-dimensional (2D) compressed measurements. Nonetheless,…

Image and Video Processing · Electrical Eng. & Systems 2024-01-03 Yaping Zhao , Edmund Y. Lam

While uniform sampling has been widely studied in the matrix completion literature, CUR sampling approximates a low-rank matrix via row and column samples. Unfortunately, both sampling models lack flexibility for various circumstances in…

Machine Learning · Computer Science 2025-04-17 HanQin Cai , Longxiu Huang , Pengyu Li , Deanna Needell

Compressed sensing (CS) theory assures us that we can accurately reconstruct magnetic resonance images using fewer k-space measurements than the Nyquist sampling rate requires. In traditional CS-MRI inversion methods, the fact that the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Liyan Sun , Zhiwen Fan , Xinghao Ding , Congbo Cai , Yue Huang , John Paisley

Fast Magnetic Resonance Imaging (MRI) is highly in demand for many clinical applications in order to reduce the scanning cost and improve the patient experience. This can also potentially increase the image quality by reducing the motion…

Computer Vision and Pattern Recognition · Computer Science 2017-05-23 Simiao Yu , Hao Dong , Guang Yang , Greg Slabaugh , Pier Luigi Dragotti , Xujiong Ye , Fangde Liu , Simon Arridge , Jennifer Keegan , David Firmin , Yike Guo

Magnetic resonance imaging (MRI) is a powerful medical imaging modality, but long acquisition times limit throughput, patient comfort, and clinical accessibility. Diffusion-based generative models serve as strong image priors for reducing…

Machine Learning · Computer Science 2026-02-13 Sriram Ravula , Brett Levac , Yamin Arefeen , Ajil Jalal , Alexandros G. Dimakis , Jonathan I. Tamir

Accelerated magnetic resonance (MR) imaging attempts to reduce acquisition time by collecting data below the Nyquist rate. As an ill-posed inverse problem, many plausible solutions exist, yet the majority of deep learning approaches…

Image and Video Processing · Electrical Eng. & Systems 2023-06-05 Jeffrey Wen , Rizwan Ahmad , Philip Schniter

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

MRI is an inherently slow process, which leads to long scan time for high-resolution imaging. The speed of acquisition can be increased by ignoring parts of the data (undersampling). Consequently, this leads to the degradation of image…

Image and Video Processing · Electrical Eng. & Systems 2022-02-22 Soumick Chatterjee , Mario Breitkopf , Chompunuch Sarasaen , Hadya Yassin , Georg Rose , Andreas Nürnberger , Oliver Speck

A central goal of modern magnetic resonance imaging (MRI) is to reduce the time required to produce high-quality images. Efforts have included hardware and software innovations such as parallel imaging, compressed sensing, and deep…

Medical Physics · Physics 2023-03-27 Yihong Xu , Chad W. Farris , Stephan W. Anderson , Xin Zhang , Keith A. Brown

Electron tomography has achieved higher resolution and quality at reduced doses with recent advances in compressed sensing. Compressed sensing (CS) theory exploits the inherent sparse signal structure to efficiently reconstruct…

Computational Physics · Physics 2020-12-02 Jonathan Schwartz , Huihuo Zheng , Marcus Hanwell , Yi Jiang , Robert Hovden

This work develops compressive sampling strategies for computing the dynamic mode decomposition (DMD) from heavily subsampled or output-projected data. The resulting DMD eigenvalues are equal to DMD eigenvalues from the full-state data. It…

Dynamical Systems · Mathematics 2013-12-19 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

Accelerated Magnetic Resonance Imaging (MRI) requires careful optimization of k-space sampling patterns to balance acquisition speed and image quality. While recent advances in deep learning have shown promise in optimizing Cartesian…

Tissues and Organs · Quantitative Biology 2025-08-15 Ruru Xu , Ilkay Oksuz

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

Lately, deep learning has been extensively investigated for accelerating dynamic magnetic resonance (MR) imaging, with encouraging progresses achieved. However, without fully sampled reference data for training, current approaches may have…

Image and Video Processing · Electrical Eng. & Systems 2022-08-09 Juan Zou , Cheng Li , Sen Jia , Ruoyou Wu , Tingrui Pei , Hairong Zheng , Shanshan Wang

The mathematical theory of compressed sensing (CS) asserts that one can acquire signals from measurements whose rate is much lower than the total bandwidth. Whereas the CS theory is now well developed, challenges concerning hardware…

Information Theory · Computer Science 2013-07-18 Makhlad Chahid , Jerome Bobin , Hamed Shams Mousavi , Emmanuel Candes , Maxime Dahan , Vincent Studer

Presented is a novel way to combine snapshot compressive imaging and lateral shearing interferometry in order to capture the spatio-spectral phase of an ultrashort laser pulse in a single shot. A deep unrolling algorithm is utilised for the…

Real-time cardiac cine MRI does not require ECG gating in the data acquisition and is more useful for patients who can not hold their breaths or have abnormal heart rhythms. However, to achieve fast image acquisition, real-time cine…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Eric Z. Chen , Xiao Chen , Jingyuan Lyu , Yuan Zheng , Terrence Chen , Jian Xu , Shanhui Sun

Conventional cardiac cine MRI methods rely on retrospective gating, which limits temporal resolution and the ability to capture continuous cardiac dynamics, particularly in patients with arrhythmias and beat-to-beat variations. To address…

Image and Video Processing · Electrical Eng. & Systems 2024-12-18 Wenqi Huang , Veronika Spieker , Siying Xu , Gastao Cruz , Claudia Prieto , Julia Schnabel , Kerstin Hammernik , Thomas Kuestner , Daniel Rueckert