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An intriguing phenomenon in many instances of compressed sensing is that the reconstruction quality is governed not just by the overall sparsity of the signal, but also on its structure. This paper is about understanding this phenomenon,…

泛函分析 · 数学 2014-03-28 Ben Adcock , Anders C. Hansen , Bogdan Roman

The recently described pushframe imager, a parallelized single pixel camera capturing with a pushbroom-like motion, is intrinsically suited to both remote-sensing and compressive sampling. It optically applies a 2D mask to the imaged scene,…

图像与视频处理 · 电气工程与系统科学 2021-04-28 Stuart Bennett , Yoann Noblet , Paul F. Griffin , Paul Murray , Stephen Marshall , John Jeffers , Daniel Oi

Magnetic resonance imaging (MRI) is the method of choice for noninvasive studies of micrometer-scale structures in biological tissues via their effects on the time/frequency-dependent ("restricted") and anisotropic self-diffusion of water.…

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

信息论 · 计算机科学 2010-01-26 Galen Reeves , Michael Gastpar

Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between sparse…

宇宙学与河外天体物理 · 物理学 2014-02-03 Stephen M. Feeney , Domenico Marinucci , Jason D. McEwen , Hiranya V. Peiris , Benjamin D. Wandelt , Valentina Cammarota

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

信息论 · 计算机科学 2013-10-07 Diego Valsesia , Enrico Magli

Consider the problem of recovering an unknown signal from undersampled measurements, given the knowledge that the signal has a sparse representation in a specified dictionary $D$. This problem is now understood to be well-posed and…

信息论 · 计算机科学 2015-06-09 Felix Krahmer , Deanna Needell , Rachel Ward

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

机器学习 · 计算机科学 2025-09-16 Shane Stevenson , Maryam Sabagh

This paper proposes parametric and non-parametric hypothesis testing algorithms for detecting anisotropy -- rotational variance of the covariance function in random fields. Both algorithms are based on resampling mechanisms, which enable…

统计方法学 · 统计学 2021-06-08 Assaf Rabinowicz , Saharon Rosset

This paper observes the application of the Compressive Sensing in reconstruction of the under-sampled iris images. Iris recognition represents form of biometric identification whose usage in real applications is growing. Compressive Sensing…

图像与视频处理 · 电气工程与系统科学 2019-02-11 Radoje Darmanovic , Tamara Bulatovic , Seid Salkovic

In this paper, adaptive non-uniform compressive sampling (ANCS) of time-varying signals, which are sparse in a proper basis, is introduced. ANCS employs the measurements of previous time steps to distribute the sensing energy among…

应用统计 · 统计学 2017-03-10 Alireza Zaeemzadeh , Mohsen Joneidi , Nazanin Rahnavard

A range of efficient wireless processes and enabling techniques are put under a magnifier glass in the quest for exploring different manifestations of correlated processes, where sub-Nyquist sampling may be invoked as an explicit benefit of…

信息论 · 计算机科学 2017-09-08 Zhen Gao , Linglong Dai , Shuangfeng Han , I Chih-Lin , Zhaocheng Wang , Lajos Hanzo

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

信息论 · 计算机科学 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

This paper presents a novel power spectral density estimation technique for band-limited, wide-sense stationary signals from sub-Nyquist sampled data. The technique employs multi-coset sampling and incorporates the advantages of compressed…

信息论 · 计算机科学 2012-05-18 Michael A. Lexa , Mike E. Davies , John S. Thompson

Exploiting intrinsic structures in sparse signals underpins the recent progress in compressive sensing (CS). The key for exploiting such structures is to achieve two desirable properties: generality (\ie, the ability to fit a wide range of…

信号处理 · 电气工程与系统科学 2018-12-26 Suwichaya Suwanwimolkul , Lei Zhang , Dong Gong , Zhen Zhang , Chao Chen , Damith C. Ranasinghe , Qinfeng Shi

Compressed sensing (CS) theory assures us that we can accurately reconstruct magnetic resonance images using fewer k-space measurements than the Nyquist sampling rate requires. In traditional CS-MRI inversion methods, the fact that the…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Liyan Sun , Zhiwen Fan , Xinghao Ding , Congbo Cai , Yue Huang , John Paisley

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

信息论 · 计算机科学 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

MR image sparsity/compressibility has been widely exploited for imaging acceleration with the development of compressed sensing. A sparsity-based approach to rigid-body motion correction is presented for the first time in this paper. A…

计算机视觉与模式识别 · 计算机科学 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

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…