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Signal recovery is one of the key techniques of Compressive sensing (CS). It reconstructs the original signal from the linear sub-Nyquist measurements. Classical methods exploit the sparsity in one domain to formulate the L0 norm…

Information Theory · Computer Science 2012-06-05 Yipeng Liu , Ivan Gligorijevic , Vladimir Matic , Maarten De Vos , Sabine Van Huffel

The compressive sensing (CS) scheme exploits much fewer measurements than suggested by the Nyquist-Shannon sampling theorem to accurately reconstruct images, which has attracted considerable attention in the computational imaging community.…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Zhiyuan Zha , Bihan Wen , Xin Yuan , Saiprasad Ravishankar , Jiantao Zhou , Ce Zhu

Magnetic Resonance Imaging (MRI) is widely used in clinical practice, but suffered from prolonged acquisition time. Although deep learning methods have been proposed to accelerate acquisition and demonstrate promising performance, they rely…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Hao Zhang , Qi Wang , Jian Sun , Zhijie Wen , Jun Shi , Shihui Ying

Magnetic resonance imaging (MRI) is known to be a slow imaging modality and undersampling in k-space has been used to increase the imaging speed. However, image reconstruction from undersampled k-space data is an ill-posed inverse problem.…

Image and Video Processing · Electrical Eng. & Systems 2019-08-08 Jing Cheng , Haifeng Wang , Leslie Ying , Dong Liang

Recently, deep learning-based compressed sensing (CS) has achieved great success in reducing the sampling and computational cost of sensing systems and improving the reconstruction quality. These approaches, however, largely overlook the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Yu Zhou , Yu Chen , Xiao Zhang , Pan Lai , Lei Huang , Jianmin Jiang

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

Compressed Sensing (CS) seeks to recover an unknown vector with $N$ entries by making far fewer than $N$ measurements; it posits that the number of compressed sensing measurements should be comparable to the information content of the…

Information Theory · Computer Science 2010-04-29 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

Information Theory · Computer Science 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Numerous applications in signal processing have benefited from the theory of compressed sensing which shows that it is possible to reconstruct signals sampled below the Nyquist rate when certain conditions are satisfied. One of these…

Multimedia · Computer Science 2012-03-27 Cagdas Bilen , Yao Wang , Ivan Selesnick

Magnetic Resonance Imaging (MRI) has become an important technique in the clinic for the visualization, detection, and diagnosis of various diseases. However, one bottleneck limitation of MRI is the relatively slow data acquisition process.…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Xue Liu , Juan Zou , Xiawu Zheng , Cheng Li , Hairong Zheng , Shanshan Wang

This paper proposes a novel framework to reconstruct the dynamic magnetic resonance images (DMRI) with motion compensation (MC). Due to the inherent motion effects during DMRI acquisition, reconstruction of DMRI using motion…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Ningning Zhao , Daniel O'Connor , Adrian Basarab , Dan Ruan , Peng Hu , Ke Sheng

Compressed Sensing (CS) significantly speeds up Magnetic Resonance Image (MRI) processing and achieves accurate MRI reconstruction from under-sampled k-space data. According to the current research, there are still several problems with…

Image and Video Processing · Electrical Eng. & Systems 2023-10-24 Junpeng Tan , Chunmei Qing , Xiangmin Xu

The discrete curvelet transform decomposes an image into a set of fundamental components that are distinguished by direction and size as well as a low-frequency representation. The curvelet representation is approximately sparse; thus, it…

Image and Video Processing · Electrical Eng. & Systems 2022-12-08 Nicholas Dwork , Peder E. Z. Larson

The acquisition of Magnetic Resonance Imaging (MRI) is inherently slow. Inspired by recent advances in deep learning, we propose a framework for reconstructing MR images from undersampled data using a deep cascade of convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2017-03-03 Jo Schlemper , Jose Caballero , Joseph V. Hajnal , Anthony Price , Daniel Rueckert

Single-pixel cameras based on the concepts of compressed sensing (CS) leverage the inherent structure of images to retrieve them with far fewer measurements and operate efficiently over a significantly broader spectral range than…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Qiang Guo , Hongwei Chen , Yuxi Wang , Yong Guo , Peng Liu , Xiurui Zhu , Zheng Cheng , Zhenming Yu , Minghua Chen , Sigang Yang , Shizhong Xie

We consider a multi-hop wireless sensor network that measures sparse events and propose a simple forwarding protocol based on Compressed Sensing (CS) which does not need any sophisticated Media Access Control (MAC) scheduling, neither a…

Other Computer Science · Computer Science 2012-08-08 Megumi Kaneko , Khaldoun Al Agha

The number of measurements required to reconstruct the states of quantum systems increases exponentially with the quantum system dimensions, which makes the state reconstruction of high-qubit quantum systems have a great challenge in…

Quantum Physics · Physics 2017-11-08 J. Yang , S. Cong , X. Liu , Z. Li , K. Li

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

Information Theory · Computer Science 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N…

Optics · Physics 2010-06-15 Ori Katz , Jonathan M. Levitt , Yaron Silberberg