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Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

信号处理 · 电气工程与系统科学 2021-02-02 Hyunseok Park , Xilin Liu

Compressed Sensing Magnetic Resonance Imaging (CS-MRI) significantly accelerates MR data acquisition at a sampling rate much lower than the Nyquist criterion. A major challenge for CS-MRI lies in solving the severely ill-posed inverse…

图像与视频处理 · 电气工程与系统科学 2019-10-30 Risheng Liu , Yuxi Zhang , Shichao Cheng , Zhongxuan Luo , Xin Fan

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

信息论 · 计算机科学 2014-02-25 Yuli Sun , Jinxu Tao

In the area of magnetic resonance imaging (MRI), an extensive range of non-linear reconstruction algorithms have been proposed that can be used with general Fourier subsampling patterns. However, the design of these subsampling patterns has…

图像与视频处理 · 电气工程与系统科学 2018-05-04 Baran Gözcü , Rabeeh Karimi Mahabadi , Yen-Huan Li , Efe Ilıcak , Tolga Çukur , Jonathan Scarlett , Volkan Cevher

The SPARKLING algorithm was originally developed for accelerated 2D magnetic resonance imaging (MRI) in the compressed sensing (CS) context. It yields non-Cartesian sampling trajectories that jointly fulfill a target sampling density while…

信号处理 · 电气工程与系统科学 2021-06-01 Chaithya G R , Zaccharie Ramzi , Philippe Ciuciu

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

信息论 · 计算机科学 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Ali Taimori , Farokh Marvasti

In ultrasound nondestructive testing, a widespread approach is to take synthetic aperture measurements from the surface of a specimen to detect and locate defects within it. Based on these measurements, imaging is usually performed using…

信号处理 · 电气工程与系统科学 2020-12-09 Jan Kirchhof , Sebastian Semper , Christoph W. Wagner , Eduardo Pérez , Florian Römer , Giovanni Del Galdo

The compressed sensing (CS) framework leverages the sparsity of MR images to reconstruct from undersampled acquisitions. CS reconstructions involve one or more regularization parameters that weigh sparsity in transform domains against…

The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

计算机视觉与模式识别 · 计算机科学 2018-03-01 Leonid P. Yaroslavsky

A signature result in compressed sensing is that Gaussian random sampling achieves stable and robust recovery of sparse vectors under optimal conditions on the number of measurements. However, in the context of image reconstruction, it has…

信息论 · 计算机科学 2021-01-26 Ben Adcock , Simone Brugiapaglia , Matthew King-Roskamp

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

Compressed sensing aims to undersample certain high-dimensional signals, yet accurately reconstruct them by exploiting signal characteristics. Accurate reconstruction is possible when the object to be recovered is sufficiently sparse in a…

信息论 · 计算机科学 2015-05-13 David L. Donoho , Arian Maleki , Andrea Montanari

The motivation for this paper stems from the desire to develop an adaptive sampling method for solving constrained optimization problems in which the objective function is stochastic and the constraints are deterministic. The method…

最优化与控制 · 数学 2021-01-01 Yuchen Xie , Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to…

图像与视频处理 · 电气工程与系统科学 2022-01-11 Shengke Xue , Ruiliang Bai , Xinyu Jin

While the recent theory of compressed sensing provides an opportunity to overcome the Nyquist limit in recovering sparse signals, a solution approach usually takes a form of inverse problem of the unknown signal, which is crucially…

信息论 · 计算机科学 2016-09-27 Jong Chul Ye , Jong Min Kim , Kyong Hwan Jin , Kiryung Lee

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

统计方法学 · 统计学 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

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…

图像与视频处理 · 电气工程与系统科学 2024-07-03 Kuiyuan Zhang , Zhongyun Hua , Yuanman Li , Yushu Zhang , Yicong Zhou

Sampling is a fundamental aspect of any implementation of compressive sensing. Typically, the choice of sampling method is guided by the reconstruction basis. However, this approach can be problematic with respect to certain hardware…

In compressed sensing MRI (CS-MRI), k-space measurements are under-sampled to achieve accelerated scan times. CS-MRI presents two fundamental problems: (1) where to sample and (2) how to reconstruct an under-sampled scan. In this paper, we…

图像与视频处理 · 电气工程与系统科学 2020-07-01 Cagla D. Bahadir , Alan Q. Wang , Adrian V. Dalca , Mert R. Sabuncu