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Compressed sensing takes advantage of low-dimensional signal structure to reduce sampling requirements far below the Nyquist rate. In magnetic resonance imaging (MRI), this often takes the form of sparsity through wavelet transform, finite…

图像与视频处理 · 电气工程与系统科学 2020-02-19 Jonathan I. Tamir , Frank Ong , Suma Anand , Ekin Karasan , Ke Wang , Michael Lustig

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

信息论 · 计算机科学 2023-08-31 Il Yong Chun , Ben Adcock

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

信息论 · 计算机科学 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

最优化与控制 · 数学 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

This paper introduces a new framework of fast and efficient sensing matrices for practical compressive sensing, called Structurally Random Matrix (SRM). In the proposed framework, we pre-randomize a sensing signal by scrambling its samples…

信息论 · 计算机科学 2015-05-28 Thong T. Do , Lu Gan , Nam H. Nguyen , Trac D. Tran

The theoretical basis for the prediction of anisotropies in the cosmic microwave background is very well developed. Very low amplitude density and temperature perturbations produce small gravitational effects, leading to an anisotropy that…

天体物理学 · 物理学 2007-05-23 E. L. Wright

We studied five methods to include anisotropy, or unequal stress distributions, in general relativistic matter configurations. We used nine acceptability conditions that the metric and physical variables must meet to determine if our models…

广义相对论与量子宇宙学 · 物理学 2023-09-25 Daniel Suárez-Urango , Laura M. Becerra , Justo Ospino , Luis A. Núñez

High-frequency noise is present in several modalities of medical images. It originates from the acquisition process and may be related to the scanner configurations, the scanned body, or to other external factors. This way, prospective…

图像与视频处理 · 电气工程与系统科学 2018-12-13 Fábio A. M. Cappabianco , Petrus P. C. E. da Silva

We revisit the probabilistic construction of sparse random matrices where each column has a fixed number of nonzeros whose row indices are drawn uniformly at random. These matrices have a one-to-one correspondence with the adjacency…

信息论 · 计算机科学 2013-07-25 Bubacarr Bah , Jared Tanner

Cost-efficient compressive sensing of big media data with fast reconstructed high-quality results is very challenging. In this paper, we propose a new large-scale image compressive sensing method, composed of operator-based strategy in the…

多媒体 · 计算机科学 2015-05-21 Wei-Jie Liang , Gang-Xuan Lin , Chun-Shien Lu

Compressed sensing is a signal processing technique in which data is acquired directly in a compressed form. There are two modeling approaches that can be considered: the worst-case (Hamming) approach and a statistical mechanism, in which…

信息论 · 计算机科学 2016-01-20 Wasim Huleihel , Neri Merhav

Is it possible to detect a feature in an image without ever looking at it? Images are known to have sparser representation in Wavelets and other similar transforms. Compressed Sensing is a technique which proposes simultaneous acquisition…

图像与视频处理 · 电气工程与系统科学 2020-06-09 Suyash Shandilya

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

Radial imaging techniques, such as projection-reconstruction (PR), are used in magnetic resonance imaging (MRI) for dynamic imaging, angiography, and short-imaging. They are robust to flow and motion, have diffuse aliasing patterns, and…

图像与视频处理 · 电气工程与系统科学 2021-01-13 Peder E. Z. Larson , Paul T. Gurney , Dwight G. Nishimura

Sparse coding networks, which utilize unsupervised learning to maximize coding efficiency, have successfully reproduced response properties found in primary visual cortex \cite{AN:OlshausenField96}. However, conventional sparse coding…

神经元与认知 · 定量生物学 2011-05-25 William K. Coulter , Christopher J. Hillar , Friedrich T. Sommer

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics…

信息论 · 计算机科学 2015-07-21 Anastasios Kyrillidis , Luca Baldassarre , Marwa El-Halabi , Quoc Tran-Dinh , Volkan Cevher

The concept of compressive sensing was recently proposed to significantly reduce the electron dose in scanning transmission electron microscopy (STEM) while still maintaining the main features in the image. Here, an experimental setup based…

仪器与探测器 · 物理学 2016-03-23 Armand Béché , Bart Goris , Bert Freitag , Jo Verbeeck

We propose a new technique for adaptive identification of sparse systems based on the compressed sensing (CS) theory. We manipulate the transmitted pilot (input signal) and the received signal such that the weights of adaptive filter…

信息论 · 计算机科学 2012-04-05 Seyed Hossein Hosseini , Mahrokh G. Shayesteh

Characterizing the anisotropic structure in noncollinear antiferromagnets is essential for antiferromagnetic spintronics. In this work, we provide a microscopic theory linking the anisotropy effects induced by the rigid-body rotation of…

材料科学 · 物理学 2025-07-15 Zheng Liu , Yang Gao , Qian Niu

Magnetic resonance imaging (MRI) is a powerful imaging modality that revolutionizes medicine and biology. The imaging speed of high-dimensional MRI is often limited, which constrains its practical utility. Recently, low-rank tensor models…

计算机视觉与模式识别 · 计算机科学 2021-05-25 Zichang He , Bo Zhao , Zheng Zhang