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Compressed Sensing MRI (CS-MRI) has provided theoretical foundations upon which the time-consuming MRI acquisition process can be accelerated. However, it primarily relies on iterative numerical solvers which still hinders their adaptation…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Tran Minh Quan , Thanh Nguyen-Duc , Won-Ki Jeong

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

Compressive sensing (CS) works to acquire measurements at sub-Nyquist rate and recover the scene images. Existing CS methods always recover the scene images in pixel level. This causes the smoothness of recovered images and lack of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-29 Jiang Du , Xuemei Xie , Chenye Wang , Guangming Shi

The compressed sensing (CS) theory has been successfully applied to image compression in the past few years as most image signals are sparse in a certain domain. Several CS reconstruction models have been recently proposed and obtained…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Wuzhen Shi , Feng Jiang , Shengping Zhang , Debin Zhao

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…

Undersampling the k-space during MR acquisitions saves time, however results in an ill-posed inversion problem, leading to an infinite set of images as possible solutions. Traditionally, this is tackled as a reconstruction problem by…

Image and Video Processing · Electrical Eng. & Systems 2022-02-10 Kerem C. Tezcan , Neerav Karani , Christian F. Baumgartner , Ender Konukoglu

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

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

Applications · Statistics 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Many service computing applications require real-time dataset collection from multiple devices, necessitating efficient sampling techniques to reduce bandwidth and storage pressure. Compressive sensing (CS) has found wide-ranging…

Image and Video Processing · Electrical Eng. & Systems 2024-07-03 Kuiyuan Zhang , Zhongyun Hua , Yuanman Li , Yushu Zhang , Yicong Zhou

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

This paper presents modification of the TwIST algorithm for Compressive Sensing MRI images reconstruction. Compressive Sensing is new approach in signal processing whose basic idea is recovering signal form small set of available samples.…

Computer Vision and Pattern Recognition · Computer Science 2015-03-26 Elma Hot , Petar Sekulić

The recently introduced compressive sensing (CS) framework enables digital signal acquisition systems to take advantage of signal structures beyond bandlimitedness. Indeed, the number of CS measurements required for stable reconstruction is…

Information Theory · Computer Science 2015-05-30 Jason N. Laska , Richard G. Baraniuk

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

Information Theory · Computer Science 2016-11-24 Kezhi Li , Shuang Cong

Recently, the finite-rate-of-innovation (FRI) based continuous domain regularization is emerging as an alternative to the conventional on-the-grid sparse regularization for the compressed sensing (CS) due to its ability to alleviate the…

Numerical Analysis · Mathematics 2020-04-08 Jian-Feng Cai , Jae Kyu Choi , Ke Wei

Given the incomplete sampling of spatial frequencies by radio interferometers, achieving precise restoration of astrophysical information remains challenging. To address this ill-posed problem, compressive sensing(CS) provides a robust…

Instrumentation and Methods for Astrophysics · Physics 2025-05-09 Lei Yu , Bin Liu , Cheng-Jin Jin , Ru-Rong Chen , Hong-Wei Xi , Bo Peng

We propose a novel deformation corrected compressed sensing (DC-CS) framework to recover dynamic magnetic resonance images from undersampled measurements. We introduce a generalized formulation that is capable of handling a wide class of…

Computer Vision and Pattern Recognition · Computer Science 2014-09-04 Sajan Goud Lingala , Edward DiBella , Mathews Jacob

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

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

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Shen Zhao , Lee C. Potter , Kiryung Lee , Rizwan Ahmad

In recent years, compressed sensing (CS) has been applied in the field of synthetic aperture radar (SAR) imaging and shows great potential. The existing models are, however, based on application of the sensing matrix acquired by the exact…

Information Theory · Computer Science 2014-05-23 Jian Fang , Zongben Xu , Bingchen Zhang , Wen Hong , Yirong Wu

Respiratory motion can cause strong blurring artifacts in the reconstructed image during MR acquisition. These artifacts become more prominent when use in the presence of undersampled data. Recently, compressed sensing (CS) is developed as…

Image and Video Processing · Electrical Eng. & Systems 2019-04-10 Abdul Haseeb Ahmed , Ijaz M. Qureshi , Jawad Ali Shah , Hammad Omer