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The present paper introduces a method for substantial reduction of the number of diffusion encoding gradients required for reliable reconstruction of HARDI signals. The method exploits the theory of compressed sensing (CS), which…

信息论 · 计算机科学 2010-09-21 Oleg Michailovich , Yogesh Rathi , Sudipto Dolui

Recent breakthrough results in compressive sensing (CS) have established that many high dimensional signals can be accurately recovered from a relatively small number of non-adaptive linear observations, provided that the signals possess a…

信息论 · 计算机科学 2013-10-17 Akshay Soni , Jarvis Haupt

Compressive sensing magnetic resonance imaging (CS-MRI) accelerates the acquisition of MR images by breaking the Nyquist sampling limit. In this work, a novel generative adversarial network (GAN) based framework for CS-MRI reconstruction is…

图像与视频处理 · 电气工程与系统科学 2020-04-28 Puneesh Deora , Bhavya Vasudeva , Saumik Bhattacharya , Pyari Mohan Pradhan

The theory of Compressed Sensing, the emerging sampling paradigm 'that goes against the common wisdom', asserts that 'one can recover signals in Rn from far fewer samples or measurements, if the signal has a sparse representation in some…

信息论 · 计算机科学 2013-11-01 Ankit Kundu , Pradosh K. Roy

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

信息论 · 计算机科学 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

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

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

信息论 · 计算机科学 2009-06-08 Graeme Pope

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

信息论 · 计算机科学 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky

Advances in CMOS technology have made high resolution image sensors possible. These image sensor pose significant challenges in terms of the amount of raw data generated, energy efficiency and frame rate. This paper presents a new design…

图像与视频处理 · 电气工程与系统科学 2018-01-12 Pravir Singh Gupta , Gwan Seong Choi

Mechanical vibration monitoring often requires high sampling rates and generates large data volumes, posing challenges for storage, transmission, and power efficiency. Compressive Sensing (CS) offers a promising approach to overcome these…

信号处理 · 电气工程与系统科学 2026-03-27 Imen Tounsi , Fadi Karkafi , Mohammed El Badaoui , François Guillet

Deep learning has been used to image compressive sensing (CS) for enhanced reconstruction performance. However, most existing deep learning methods train different models for different subsampling ratios, which brings additional hardware…

计算机视觉与模式识别 · 计算机科学 2021-01-25 Zhonghao Zhang , Yipeng Liu , Xingyu Cao , Fei Wen , Ce Zhu

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of projections. The use of such reconstruction methods is…

数值分析 · 数学 2014-08-05 Jakob S. Jørgensen , Emil Y. Sidky , Per Christian Hansen , Xiaochuan Pan

In this article, we address the problem of reducing the number of required samples for Spherical Near-Field Antenna Measurements (SNF) by using Compressed Sensing (CS). A condition to ensure the numerical performance of sparse recovery…

信息论 · 计算机科学 2023-02-10 Arya Bangun , Cosme Culotta-López

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

信息论 · 计算机科学 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

Sparse representation leads to an efficient way to approximately recover a signal by the linear composition of a few bases from a learnt dictionary, based on which various successful applications have been achieved. However, in the scenario…

计算机视觉与模式识别 · 计算机科学 2018-05-04 Xiang Zhang , Jiarui Sun , Siwei Ma , Zhouchen Lin , Jian Zhang , Shiqi Wang , Wen Gao

In compressed sensing, a small number of linear measurements can be used to reconstruct an unknown signal. Existing approaches leverage assumptions on the structure of these signals, such as sparsity or the availability of a generative…

机器学习 · 统计学 2018-08-02 Manik Dhar , Aditya Grover , Stefano Ermon

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

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

统计理论 · 数学 2016-09-05 Rui M. Castro , Ervin Tánczos