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Sparse representation using over-complete dictionaries have shown to produce good quality results in various image processing tasks. Dictionary learning algorithms have made it possible to engineer data adaptive dictionaries which have…

图像与视频处理 · 电气工程与系统科学 2019-11-11 Nishant Deepak Keni , Amol Mangirish Singbal , Rizwan Ahmed

Synthetic aperture radar (SAR) imagery can provide useful information in a multitude of applications, including climate change, environmental monitoring, meteorology, high dimensional mapping, ship monitoring, or planetary exploration. In…

信号处理 · 电气工程与系统科学 2020-08-11 Oktay Karakuş , Alin Achim

Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

最优化与控制 · 数学 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Low-Rank Matrix Recovery (LRMR) has recently been applied to saliency detection by decomposing image features into a low-rank component associated with background and a sparse component associated with visual salient regions. Despite its…

计算机视觉与模式识别 · 计算机科学 2019-09-10 Qi Zheng , Shujian Yu , Xinge You , Qinmu Peng

We consider the problem of recovering a target matrix that is a superposition of low-rank and sparse components, from a small set of linear measurements. This problem arises in compressed sensing of structured high-dimensional signals such…

信息论 · 计算机科学 2012-02-22 John Wright , Arvind Ganesh , Kerui Min , Yi Ma

Synthetic aperture radar (SAR) tomography (TomoSAR) enables the reconstruction and three-dimensional (3D) localization of targets based on multiple two-dimensional (2D) observations of the same scene. The resolving along the elevation…

信号处理 · 电气工程与系统科学 2022-04-27 Silin Gao , Zhe Zhang , Bingchen Zhang , Yirong Wu

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

We propose and analyze an online algorithm for reconstructing a sequence of signals from a limited number of linear measurements. The signals are assumed sparse, with unknown support, and evolve over time according to a generic nonlinear…

Convex regression (CR) is the problem of fitting a convex function to a finite number of noisy observations of an underlying convex function. CR is important in many domains and one of its workhorses is the non-parametric least square…

信息论 · 计算机科学 2020-03-03 Andrea Simonetto

Consider a spectrally sparse signal $\boldsymbol{x}$ that consists of $r$ complex sinusoids with or without damping. We study the robust recovery problem for the spectrally sparse signal under the fully observed setting, which is about…

信息论 · 计算机科学 2021-02-05 HanQin Cai , Jian-Feng Cai , Tianming Wang , Guojian Yin

High-dimensional matrix regression has been studied in various aspects, such as statistical properties, computational efficiency and application to specific instances including multivariate regression, system identification and matrix…

统计理论 · 数学 2024-03-06 Xin Li , Dongya Wu

Image super-resolution (SR) is an underdetermined inverse problem, where a large number of plausible high-resolution images can explain the same downsampled image. Most current single image SR methods use empirical risk minimisation, often…

计算机视觉与模式识别 · 计算机科学 2017-02-28 Casper Kaae Sønderby , Jose Caballero , Lucas Theis , Wenzhe Shi , Ferenc Huszár

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

信息论 · 计算机科学 2016-02-03 Yen-Huan Li , Volkan Cevher

This chapter develops a theoretical analysis of the convex programming method for recovering a structured signal from independent random linear measurements. This technique delivers bounds for the sampling complexity that are similar with…

信息论 · 计算机科学 2014-12-05 Joel A. Tropp

The analysis of Synthetic Aperture Radar (SAR) imagery is an important step in remote sensing applications, and it is a challenging problem due to its inherent speckle noise. One typical solution is to model the data using the $G_I^0$…

计算机视觉与模式识别 · 计算机科学 2023-09-08 Li Fan , Jeova Farias Sales Rocha Neto

Intelligent reflecting surface (IRS) is an emerging technology to enhance spatial multiplexing in wireless networks. This letter considers the discrete passive beamforming design for IRS in order to maximize the minimum…

信息论 · 计算机科学 2024-08-29 Wenhai Lai , Zheyu Wu , Yi Feng , Kaiming Shen , Ya-Feng Liu

Through-wall synthetic aperture radar (SAR) imaging is of significant interest for security purposes, in particular when using multi-static SAR systems consisting of multiple distributed radar transmitters and receivers to improve…

数值分析 · 数学 2024-10-30 Francis Watson , Daniel Andre , William Robert Breckon Lionheart

In this paper, we focus on radar imaging using active sensing with a single transceiver and reconfigurable intelligent surface (RIS). RISs are arrays with tunable passive phase shifter elements that can modify the propagation channel. The…

信号处理 · 电气工程与系统科学 2023-08-14 R. S. Prasobh Sankar , Sundeep Prabhakar Chepuri

Common ISAR radar images and signals can be reconstructed from much fewer samples than the sampling theorem requires since they are usually sparse. Unavailable randomly positioned samples can result from heavily corrupted parts of the…

信息论 · 计算机科学 2016-11-17 Ljubisa Stankovic

We study the low-rank phase retrieval problem, where we try to recover a $d_1\times d_2$ low-rank matrix from a series of phaseless linear measurements. This is a fourth-order inverse problem, as we are trying to recover factors of matrix…

信息论 · 计算机科学 2020-07-07 Kiryung Lee , Sohail Bahmani , Yonina Eldar , Justin Romberg