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Cooperative Greedy Pursuit Strategies are considered for approximating a signal partition subjected to a global constraint on sparsity. The approach aims at producing a high quality sparse approximation of the whole signal, using highly…

数据结构与算法 · 计算机科学 2015-12-15 Laura Rebollo-Neira

Imaging below the diffraction limit is always a public interest because of the restricted resolution of conventional imaging systems. To beat the limit, evanescent harmonics decaying in space must participate in the imaging process. Here,…

光学 · 物理学 2019-10-02 Tie-Jun Huang , Li-Zheng Yin , Ya Shuang , Jiang-Yu Liu , Yunhua Tan , Pu-Kun Liu

We propose a new method for reconstruction of sparse signals with and without noisy perturbations, termed the subspace pursuit algorithm. The algorithm has two important characteristics: low computational complexity, comparable to that of…

数值分析 · 计算机科学 2009-01-08 Wei Dai , Olgica Milenkovic

This article aims to provide a comprehensive overview of sparse optimization, with a focus on both sparse signal recovery and sparse regularization techniques. We will begin by exploring the foundations of sparse optimization, delving into…

历史与综述 · 数学 2026-01-13 Jun Lu

Compressed sensing aims at reconstructing sparse signals from significantly reduced number of samples, and a popular reconstruction approach is $\ell_1$-norm minimization. In this correspondence, a method called orthonormal expansion is…

信息论 · 计算机科学 2015-05-30 Zai Yang , Cishen Zhang , Jun Deng , Wenmiao Lu

Hyperspectral images have far more spectral bands than ordinary multispectral images. Rich band information provides more favorable conditions for the tremendous applications. However, significant increase in the dimensionality of spectral…

计算机视觉与模式识别 · 计算机科学 2018-02-21 Fei Li , Pingping Zhang , Huchuan Lu

We present a compressive radar design that combines multitone linear frequency modulated (LFM) waveforms in the transmitter with a classical stretch processor and sub-Nyquist sampling in the receiver. The proposed compressive illumination…

信息论 · 计算机科学 2022-04-13 Nithin Sugavanam , Siddharth Baskar , Emre Ertin

Spectrum sensing is an important process in cognitive radio. A number of sensing techniques that have been proposed suffer from high processing time, hardware cost and computational complexity. To address these problems, compressive sensing…

信号处理 · 电气工程与系统科学 2018-01-31 Youness Arjoune , Naima Kaabouch , Hassan El Ghazi , Ahmed Tamtaoui

Non-invasive detection of objects embedded inside an optically scattering medium is essential for numerous applications in engineering and sciences. However, in most applications light at visible or near-infrared wavebands is scattered by…

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

The role of sparse representations in the context of structured noise filtering is discussed. A strategy, especially conceived so as to address problems of an ill posed nature, is presented. The proposed approach revises and extends the…

泛函分析 · 数学 2007-09-18 Bishnu P. Lamichhane , Laura Rebollo-Neira

Sparse array design aided by emerging fast sensor switching technologies can lower the overall system overhead by reducing the number of expensive transceiver chains. In this paper, we examine the active sparse array design enabling the…

信号处理 · 电气工程与系统科学 2021-02-23 Syed A. Hamza , Weitong Zhai , Xiangrong Wang , Moeness G. Amin

We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems: estimating both the angle-of-arrival of a radio wave…

偏微分方程分析 · 数学 2020-10-19 Isaac Harris , Jacob D Rezac

The paper focuses on the sparse approximation of signals using overcomplete representations, such that it preserves the (prior) structure of multi-dimensional signals. The underlying optimization problem is tackled using a multi-dimensional…

数据结构与算法 · 计算机科学 2015-03-11 Yoann Isaac , Quentin Barthélemy , Jamal Atif , Cédric Gouy-Pailler , Michèle Sebag

The task of finding a sparse signal decomposition in an overcomplete dictionary is made more complicated when the signal undergoes an unknown modulation (or convolution in the complementary Fourier domain). Such simultaneous sparse recovery…

信息论 · 计算机科学 2019-10-02 Youye Xie , Michael B. Wakin , Gongguo Tang

Previous raw image-based low-light image enhancement methods predominantly relied on feed-forward neural networks to learn deterministic mappings from low-light to normally-exposed images. However, they failed to capture critical…

计算机视觉与模式识别 · 计算机科学 2023-08-16 Yufei Wang , Yi Yu , Wenhan Yang , Lanqing Guo , Lap-Pui Chau , Alex C. Kot , Bihan Wen

Sparse signal recovery has been dominated by the basis pursuit denoise (BPDN) problem formulation for over a decade. In this paper, we propose an algorithm that outperforms BPDN in finding sparse solutions to underdetermined linear systems…

信息论 · 计算机科学 2012-06-01 Hassan Mansour

The problem of Poisson denoising appears in various imaging applications, such as low-light photography, medical imaging and microscopy. In cases of high SNR, several transformations exist so as to convert the Poisson noise into an additive…

计算机视觉与模式识别 · 计算机科学 2015-06-17 Raja Giryes , Michael Elad

The problem of the distributed recovery of jointly sparse signals has attracted much attention recently. Let us assume that the nodes of a network observe different sparse signals with common support; starting from linear, compressed…

最优化与控制 · 数学 2016-11-15 Sophie M. Fosson , Javier Matamoros , Carles Anton-Haro , Enrico Magli

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

图像与视频处理 · 电气工程与系统科学 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye