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Compressed sensing (CS) is a signal processing framework for efficiently reconstructing a signal from a small number of measurements, obtained by linear projections of the signal. Block-based CS is a lightweight CS approach that is mostly…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Amir Adler , David Boublil , Michael Elad , Michael Zibulevsky

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

We investigated whether a combination of k-space undersampling and variable density averaging enhances image quality for low-SNR MRI acquisitions. We implemented 3D Cartesian k-space prospective undersampling with a variable number of…

Radio interferometry has always faced the problem of incomplete sampling of the Fourier plane. A possible remedy can be found in the promising new theory of compressed sensing (CS), which allows for the accurate recovery of sparse signals…

Instrumentation and Methods for Astrophysics · Physics 2015-12-22 Clara Fannjiang

Deep Learning (DL) based Compressed Sensing (CS) has been applied for better performance of image reconstruction than traditional CS methods. However, most existing DL methods utilize the block-by-block measurement and each measurement…

Image and Video Processing · Electrical Eng. & Systems 2022-09-29 Zhifeng Wang , Zhenghui Wang , Chunyan Zeng , Yan Yu , Xiangkui Wan

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

Information Theory · Computer Science 2014-02-25 Yuli Sun , Jinxu Tao

Low-field magnetic resonance imaging (MRI) offers affordable access to diagnostic imaging but faces challenges such as prolonged acquisition times and reduced image quality. Although accelerated imaging via k-space undersampling helps…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Daniel Tweneboah Anyimadu , Mohammed M. Abdelsamea , Ahmed Karam Eldaly

Compressed sensing is a powerful tool in applications such as magnetic resonance imaging (MRI). It enables accurate recovery of images from highly undersampled measurements by exploiting the sparsity of the images or image patches in a…

Machine Learning · Statistics 2016-10-04 Saiprasad Ravishankar , Yoram Bresler

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

One way of imaging X-ray emission from solar flares is to measure Fourier components of the spatial X-ray source distribution. We present a new Compressed Sensing-based algorithm named VIS_CS, which reconstructs the spatial distribution…

Solar and Stellar Astrophysics · Physics 2017-11-01 Simon Felix , Roman Bolzern , Marina Battaglia

Snapshot compressed sensing (CS) refers to compressive imaging systems in which multiple frames are mapped into a single measurement frame. Each pixel in the acquired frame is a noisy linear mapping of the corresponding pixels in the frames…

Information Theory · Computer Science 2019-04-30 Shirin Jalali , Xin Yuan

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

Numerical Analysis · Mathematics 2014-04-02 Guangliang Chen , Atul Divekar , Deanna Needell

Synthesizing high-quality images from low-field MRI holds significant potential. Low-field MRI is cheaper, more accessible, and safer, but suffers from low resolution and poor signal-to-noise ratio. This synthesis process can reduce…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Zhenxuan Zhang , Peiyuan Jing , Zi Wang , Ula Briski , Coraline Beitone , Yue Yang , Yinzhe Wu , Fanwen Wang , Liutao Yang , Jiahao Huang , Zhifan Gao , Zhaolin Chen , Kh Tohidul Islam , Guang Yang , Peter J. Lally

Compressed Sensing (CS) takes advantage of signal sparsity or compressibility and allows superb signal reconstruction from relatively few measurements. Based on CS theory, a suitable dictionary for sparse representation of the signal is…

Computer Vision and Pattern Recognition · Computer Science 2014-02-04 Jian Cheng , Tianzi Jiang , Rachid Deriche , Dinggang Shen , Pew-Thian Yap

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

To accelerate MRI, the field of compressed sensing is traditionally concerned with optimizing the image quality after a partial undersampling of the measurable $\textit{k}$-space. In our work, we propose to change the focus from the quality…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Artem Razumov , Oleg Y. Rogov , Dmitry V. Dylov

Multi-echo magnetic resonance (MR) images are acquired by changing the echo times (for T2 weighted) or relaxation times (for T1 weighted) of scans. The resulting (multi-echo) images are usually used for quantitative MR imaging. Acquiring MR…

Machine Learning · Computer Science 2019-12-11 Vanika Singhal , Angshul Majumdar

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

Machine Learning · Computer Science 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

Magnetic Resonance Imaging (MRI) scans are time consuming and precarious, since the patients remain still in a confined space for extended periods of time. To reduce scanning time, some experts have experimented with undersampled k spaces,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Kyler Larsen , Arghya Pal , Yogesh Rathi