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Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

Numerical Analysis · Mathematics 2009-05-28 Deanna Needell

High-resolution three-dimensional (3D) cardiovascular magnetic resonance (CMR) is a valuable medical imaging technique, but its widespread application in clinical practice is hampered by long acquisition times. Here we present a novel…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Jackie Ma , Maximilian März , Stephanie Funk , Jeanette Schulz-Menger , Gitta Kutyniok , Tobias Schaeffter , Christoph Kolbitsch

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

Since its discovery over the last decade, Compressed Sensing (CS) has been successfully applied to Magnetic Reso- nance Imaging (MRI). It has been shown to be a powerful way to reduce scanning time without sacrificing image quality. MR…

Applications · Statistics 2013-07-29 Nicolas Chauffert , Philippe Ciuciu , Pierre Weiss , Fabrice Gamboa

Compressed sensing (CS) in Magnetic resonance Imaging (MRI) essentially involves the optimization of 1) the sampling pattern in k-space under MR hardware constraints and 2) image reconstruction from the undersampled k-space data. Recently,…

Signal Processing · Electrical Eng. & Systems 2021-10-26 Chaithya G R , Zaccharie Ramzi , Philippe Ciuciu

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

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

A stylized compressed sensing radar is proposed in which the time-frequency plane is discretized into an N by N grid. Assuming the number of targets K is small (i.e., K much less than N^2), then we can transmit a sufficiently "incoherent"…

Numerical Analysis · Mathematics 2015-05-13 Matthew A. Herman , Thomas Strohmer

Synthetic aperture radar (SAR) tomography (TomoSAR) enables the reconstruction and three-dimensional (3D) localization of targets based on multiple two-dimensional (2D) observations of the same scene. The resolving along the elevation…

Signal Processing · Electrical Eng. & Systems 2022-04-27 Silin Gao , Zhe Zhang , Bingchen Zhang , Yirong Wu

Synthetic aperture radar (SAR) imaging traditionally requires precise knowledge of system parameters to implement focusing algorithms that transform raw data into high-resolution images. These algorithms require knowledge of SAR system…

Signal Processing · Electrical Eng. & Systems 2025-03-19 Huizhang Yang , Zhong Liu , Jian Yang

In compressed sensing one measures sparse signals directly in a compressed form via a linear transform and then reconstructs the original signal. However, it is often the case that the linear transform itself is known only approximately, a…

Information Theory · Computer Science 2013-11-13 Florent Krzakala , Marc Mézard , Lenka Zdeborová

Conventional compressive sensing (CS) reconstruction is very slow for its characteristic of solving an optimization problem. Convolu- tional neural network can realize fast processing while achieving compa- rable results. While CS image…

Computer Vision and Pattern Recognition · Computer Science 2017-10-04 Xuemei Xie , Yuxiang Wang , Guangming Shi , Chenye Wang , Jiang Du , Zhifu Zhao

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

Scene-dependent adaptive compressive sensing (CS) has been a long pursuing goal which has huge potential in significantly improving the performance of CS. However, without accessing to the ground truth image, how to design the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Chenxi Qiu , Tao Yue , Xuemei Hu

Compressed sensing is a technique to sample compressible signals below the Nyquist rate, whilst still allowing near optimal reconstruction of the signal. In this paper we present a theoretical analysis of the iterative hard thresholding…

Information Theory · Computer Science 2008-05-06 Thomas Blumensath , Mike E. Davies

Small area change detection from synthetic aperture radar (SAR) is a highly challenging task. In this paper, a robust unsupervised approach is proposed for small area change detection from multi-temporal SAR images using deep learning.…

Computer Vision and Pattern Recognition · Computer Science 2020-11-24 Xinzheng Zhang , Hang Su , Ce Zhang , Xiaowei Gu , Xiaoheng Tan , Peter M. Atkinson

Compressed sensing (CS) is an efficient method to reconstruct MR image from small sampled data in $k$-space and accelerate the acquisition of MRI. In this work, we propose a novel deep geometric distillation network which combines the…

Image and Video Processing · Electrical Eng. & Systems 2021-08-30 Xiaohong Fan , Yin Yang , Jianping Zhang

Sonography techniques use multiple transducer elements for tissue visualization. Signals detected at each element are sampled prior to digital beamforming. The sampling rates required to perform high resolution digital beamforming are…

Information Theory · Computer Science 2013-07-25 Tanya Chernyakova , Yonina C. Eldar

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

Numerical Analysis · Computer Science 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

Synthetic Aperture Radar (SAR) offers all-weather, high-resolution imaging capabilities, but its complex imaging mechanism often poses challenges for interpretation. In response to these limitations, this paper introduces an innovative…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Xinyu Bai , Feng Xu
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