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In cosparse analysis compressive sensing (CS), one seeks to estimate a non-sparse signal vector from noisy sub-Nyquist linear measurements by exploiting the knowledge that a given linear transform of the signal is cosparse, i.e., has…

信息论 · 计算机科学 2014-10-21 Mark Borgerding , Philip Schniter , Sundeep Rangan

In dynamic magnetic resonance (MR) imaging, low-rank plus sparse (L+S) decomposition, or robust principal component analysis (PCA), has achieved stunning performance. However, the selection of the parameters of L+S is empirical, and the…

图像与视频处理 · 电气工程与系统科学 2021-07-21 Wenqi Huang , Ziwen Ke , Zhuo-Xu Cui , Jing Cheng , Zhilang Qiu , Sen Jia , Leslie Ying , Yanjie Zhu , Dong Liang

A recently designed hyperspectral imaging device enables multiplexed acquisition of an entire data volume in a single snapshot thanks to monolithically-integrated spectral filters. Such an agile imaging technique comes at the cost of a…

计算机视觉与模式识别 · 计算机科学 2015-02-09 K. Degraux , V. Cambareri , L. Jacques , B. Geelen , C. Blanch , G. Lafruit

We address the problem of compressed sensing (CS) with prior information: reconstruct a target CS signal with the aid of a similar signal that is known beforehand, our prior information. We integrate the additional knowledge of the similar…

信息论 · 计算机科学 2014-08-25 Joao F. C. Mota , Nikos Deligiannis , Miguel R. D. Rodrigues

We present an end-to-end image compression system based on compressive sensing. The presented system integrates the conventional scheme of compressive sampling and reconstruction with quantization and entropy coding. The compression…

计算机视觉与模式识别 · 计算机科学 2020-01-22 Xin Yuan , Raziel Haimi-Cohen

Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted…

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 , Kees Janse , Massimo Mischi , Ruud J. G. van Sloun

Snapshot compressive imaging (SCI) surges as a novel way of capturing hyperspectral images. It operates an optical encoder to compress the 3D data into a 2D measurement and adopts a software decoder for the signal reconstruction. Recently,…

图像与视频处理 · 电气工程与系统科学 2025-03-21 Jiamian Wang , Kunpeng Li , Yulun Zhang , Xin Yuan , Zhiqiang Tao

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

信息论 · 计算机科学 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

We investigate compressed sensing (CS) techniques for reducing the number of measurements in photoacoustic tomography (PAT). High resolution imaging from CS data requires particular image reconstruction algorithms. The most established…

数值分析 · 数学 2024-12-20 Stephan Antholzer , Johannes Schwab , Markus Haltmeier

The theory of compressed sensing (CS) has been successfully applied to image compression in the past few years, whose traditional iterative reconstruction algorithm is time-consuming. However, it has been reported deep learning-based CS…

图像与视频处理 · 电气工程与系统科学 2018-04-10 Yahan Wang , Huihui Bai , Lijun Zhao , Yao Zhao

Compressed Sensing (CS) seeks to recover an unknown vector with $N$ entries by making far fewer than $N$ measurements; it posits that the number of compressed sensing measurements should be comparable to the information content of the…

信息论 · 计算机科学 2010-04-29 Jeffrey D. Blanchard , Coralia Cartis , Jared Tanner

We propose a novel algorithm for compressive imaging that exploits both the sparsity and persistence across scales found in the 2D wavelet transform coefficients of natural images. Like other recent works, we model wavelet structure using a…

计算机视觉与模式识别 · 计算机科学 2015-05-30 Subhojit Som , Philip Schniter

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

Limited measurement availability at the distribution grid presents challenges for state estimation and situational awareness. This paper combines the advantages of two sparsity-based state estimation approaches (matrix completion and…

系统与控制 · 电气工程与系统科学 2021-04-15 Shweta Dahale , Balasubramaniam Natarajan

This paper aims at developing a clustering approach with spectral images directly from the compressive measurements of coded aperture snapshot spectral imager (CASSI). Assuming that compressed measurements often lie approximately in low…

图像与视频处理 · 电气工程与系统科学 2020-09-30 Jianchen Zhu

Compressed sensing (CS) techniques demand significant storage and computational resources, when recovering high-dimensional sparse signals. Block CS (BCS), a special class of CS, addresses both the storage and complexity issues by…

信号处理 · 电气工程与系统科学 2024-09-04 Aron Bevelander , Kim Batselier , Nitin Jonathan Myers

Recent years have witnessed the success of deep networks in compressed sensing (CS), which allows for a significant reduction in sampling cost and has gained growing attention since its inception. In this paper, we propose a new practical…

计算机视觉与模式识别 · 计算机科学 2024-11-21 Bin Chen , Jian Zhang

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

Blind signal separation (BSS) is an important and challenging signal processing task. Given an observed signal which is a superposition of a collection of unknown (hidden/latent) signals, BSS aims at recovering the separate, underlying…

数值分析 · 数学 2024-06-25 Truman Hickok , Sriram Nagaraj

Hyperspectral imaging plays a pivotal role in a wide range of applications, like remote sensing, medicine, and cytology. By acquiring 3D hyperspectral images (HSIs) via 2D sensors, the coded aperture snapshot spectral imaging (CASSI) has…

图像与视频处理 · 电气工程与系统科学 2023-03-20 Xuanyu Zhang , Bin Chen , Wenzhen Zou , Shuai Liu , Yongbing Zhang , Ruiqin Xiong , Jian Zhang
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