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An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

Information Theory · Computer Science 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

Three-dimensional target reconstruction from synthetic aperture radar (SAR) imagery is crucial for interpreting complex scattering information in SAR data. However, the intricate electromagnetic scattering mechanisms inherent to SAR imaging…

Graphics · Computer Science 2025-10-09 Aobo Li , Zhengxin Lei , Jiangtao Wei , Feng Xu

We consider the recovery of a low rank and jointly sparse matrix from under sampled measurements of its columns. This problem is highly relevant in the recovery of dynamic MRI data with high spatio-temporal resolution, where each column of…

Numerical Analysis · Computer Science 2015-06-03 Sampurna Biswas , Sunrita Poddar , Soura Dasgupta , Raghuraman Mudumbai , Mathews Jacob

Imaging reconstruction of interferometric data is a hard ill-posed inverse problem. Its difficulty is increased when observing the Galactic Center, which is obscured by a scattering screen. This is because the scattering breaks the…

Instrumentation and Methods for Astrophysics · Physics 2025-06-25 Alejandro Mus , Teresa Toscano , Hendrik Müller , Guang-Yao Zhao , Andrei Lobanov , Ciriaco Goddi

We present a hybrid imaging method for a challenging travel time tomography problem which includes both unknown medium and unknown scatterers in a bounded domain. The goal is to recover both the medium and the boundary of the scatterers…

Numerical Analysis · Mathematics 2018-03-08 Hongkai Zhao , Yimin Zhong

In recent years, phase retrieval has received much attention in statistics, applied mathematics and optical engineering. In this paper, we propose an efficient algorithm, termed Subspace Phase Retrieval (SPR), which can accurately recover…

Information Theory · Computer Science 2024-04-09 Mengchu Xu , Dekuan Dong , Jian Wang

Single-pixel imaging (SPI) exhibits cost-effectiveness, broad spectrum, and stable sub-Nyquist sampling reconstruction, enabling applications across diverse imaging fields.However, due to the inherent reconstruction mechanism, SPI is not…

Optics · Physics 2025-04-18 Shao Chongwu , Cao Yue , Zhao Qing , Yao Xuri

This paper proposes a new framework to regularize the highly ill-posed and non-linear phase retrieval problem through deep generative priors using simple gradient descent algorithm. We experimentally show effectiveness of proposed algorithm…

Machine Learning · Computer Science 2018-08-20 Fahad Shamshad , Ali Ahmed

Magnetic Particle Imaging (MPI) is a preclinical imaging technique capable of visualizing the spatio-temporal distribution of magnetic nanoparticles. The image reconstruction of this fast and dynamic process relies on efficiently solving an…

Numerical Analysis · Mathematics 2021-09-15 Florian Lieb , Tobias Knopp

This paper presents a method for imaging of moving targets using multi-static SAR by treating the problem as one of spatial reflectivity signal inversion over an overcomplete dictionary of target velocities. Since SAR sensor returns can be…

Information Theory · Computer Science 2015-05-13 Ivana Stojanovic , William C. Karl

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

We analyze synthetic aperture radar (SAR) imaging of complex ground scenes that contain both stationary and moving targets. In the usual SAR acquisition scheme, we consider ways to preprocess the data so as to separate the contributions of…

Signal Processing · Electrical Eng. & Systems 2019-06-07 Matan Leibovich , George Papanicolaou , Chrysoula Tsogka

The phase retrieval problem in the presence of noise aims to recover the signal vector of interest from a set of quadratic measurements with infrequent but arbitrary corruptions, and it plays an important role in many scientific…

Machine Learning · Statistics 2024-09-04 Zhong Zheng , Lingzhou Xue

Phase retrieval refers to a classical nonconvex problem of recovering a signal from its Fourier magnitude measurements. Inspired by the compressed sensing technique, signal sparsity is exploited in recent studies of phase retrieval to…

Computational Physics · Physics 2013-02-04 Zai Yang , Cishen Zhang , Lihua Xie

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

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…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

Hyperspectral/multispectral imaging (HSI/MSI) contains rich information clinical applications, such as 1) narrow band imaging for vascular visualisation; 2) oxygen saturation for intraoperative perfusion monitoring and clinical decision…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Jianyu Lin , Neil T. Clancy , Daniel S. Elson

This paper presents a new approach to the recovery of a spectrally sparse signal (SSS) from partially observed entries, focusing on challenges posed by large-scale data and heavy noise environments. The SSS reconstruction can be formulated…

Signal Processing · Electrical Eng. & Systems 2024-05-14 Xi Yao , Wei Dai

This paper proposes a method for detecting multiple scatterers (targets) in the elevation direction for synthetic aperture radar (SAR) tomography. The proposed method can resolve closely spaced targets through a twostep procedure. In the…

Information Theory · Computer Science 2022-04-11 Ahmad Naghavi , Mohammad Sadegh Fazel , Mojtaba Beheshti , Ehsan Yazdian

This paper considers the recovery of a rank $r$ positive semidefinite matrix $X X^T\in\mathbb{R}^{n\times n}$ from $m$ scalar measurements of the form $y_i := a_i^T X X^T a_i$ (i.e., quadratic measurements of $X$). Such problems arise in a…

Numerical Analysis · Mathematics 2016-06-02 Chris D. White , Sujay Sanghavi , Rachel Ward