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We propose in this paper a novel two-stage Projection Correction Modeling (PCM) framework for image reconstruction from (non-uniform) Fourier measurements. PCM consists of a projection stage (P-stage) motivated by the multi-scale Galerkin…

Computer Vision and Pattern Recognition · Computer Science 2017-06-01 Weihong Guo , Guohui Song , Yue Zhang

Millimeter-wave (MMW) multiple-input multiple-output synthetic aperture radar (MIMO-SAR) system is a technology that can achieve high resolution, high frame rate, and all-weather imaging and has received extensive attention in the…

Signal Processing · Electrical Eng. & Systems 2024-11-25 Xu Chen , Guangsheng Yu , Zhian Yuan , Hao Wu , Yilin Jiang , Ying Wang , Bin Deng , Limin Guo

This paper investigates the joint optimization of trajectory planning and resource allocation for a high-altitude platform stations synthetic aperture radar (HAPs-SAR) system. To support real-time sensing and conserve the limited energy…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Bang Huang , Kihong Park , Xiaowei Pang , Mohamed-Slim Alouini

This paper presents a quadrature compressive sampling (QuadCS) and associated fast imaging scheme for synthetic aperture radar (SAR). Different from other analog-to-information conversions (AIC), QuadCS AICs using independent spreading…

Information Theory · Computer Science 2018-01-12 Huizhang Yang , Shengyao Chen , Feng Xi , Zhong Liu

We propose a novel estimator for the principal component (PC) subspace tailored to the high-dimension, low-sample size (HDLSS) context. The method, termed Adaptive Reference-Guided (ARG) estimator, is designed for data exhibiting spiked…

Statistics Theory · Mathematics 2025-08-12 Dongsun Yoon , Sungkyu Jung

Synthetic aperture radar (SAR) is a well established technology in the field of Earth remote sensing. Over the years, the resolution of SAR images has been steadily improving and the pixel count increasing as a result of advances in the…

Quantum Physics · Physics 2025-11-03 Alessandro Giovagnoli , Sigurd Huber , Gerhard Krieger

In this paper, we develop a novel super-resolution algorithm for near-field synthetic-aperture radar (SAR) under irregular scanning geometries. As fifth-generation (5G) millimeter-wave (mmWave) devices are becoming increasingly affordable…

Computer Vision and Pattern Recognition · Computer Science 2023-06-28 Josiah Smith , Yusef Alimam , Geetika Vedula , Murat Torlak

Accurate, high-resolution, and real-time DOA estimation is a cornerstone of environmental perception in automotive radar systems. While sparse signal recovery techniques offer super-resolution and high-precision estimation, their…

Signal Processing · Electrical Eng. & Systems 2026-02-19 Longxin Bai , Jingchao Zhang , Liyan Qiao

Image super-resolution (SR) is a technique to recover lost high-frequency information in low-resolution (LR) images. Spatial-domain information has been widely exploited to implement image SR, so a new trend is to involve frequency-domain…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 Jing Fang , Yinbo Yu , Zhongyuan Wang , Xin Ding , Ruimin Hu

Single-Particle Reconstruction (SPR) in Cryo-Electron Microscopy (cryo-EM) is the task of estimating the 3D structure of a molecule from a set of noisy 2D projections, taken from unknown viewing directions. Many algorithms for SPR start…

Optimization and Control · Mathematics 2018-01-09 Eitan Levin , Tamir Bendory , Nicolas Boumal , Joe Kileel , Amit Singer

We study the meta-learning for support (i.e. the set of non-zero entries) recovery in high-dimensional Principal Component Analysis. We reduce the sufficient sample complexity in a novel task with the information that is learned from…

Machine Learning · Statistics 2022-08-22 Imon Banerjee , Jean Honorio

In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we focus on a special sampling pattern with a small number of…

Numerical Analysis · Mathematics 2025-10-22 Gerlind Plonka , Anahita Riahi

Along with the improvement of radar technologies, Automatic Target Recognition (ATR) using Synthetic Aperture Radar (SAR) and Inverse SAR (ISAR) has come to be an active research area. SAR/ISAR are radar techniques to generate a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Carlos Pena-Caballero , Elifaleth Cantu , Jesus Rodriguez , Adolfo Gonzales , Osvaldo Castellanos , Angel Cantu , Megan Strait , Jae Son , Dongchul Kim

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

In the past decades, exactly recovering the intrinsic data structure from corrupted observations, which is known as robust principal component analysis (RPCA), has attracted tremendous interests and found many applications in computer…

Numerical Analysis · Computer Science 2012-05-08 Risheng Liu , Zhouchen Lin , Siming Wei , Zhixun Su

For certain sensing matrices, the Approximate Message Passing (AMP) algorithm efficiently reconstructs undersampled signals. However, in Magnetic Resonance Imaging (MRI), where Fourier coefficients of a natural image are sampled with…

Signal Processing · Electrical Eng. & Systems 2020-09-08 Charles Millard , Aaron T Hess , Boris Mailhé , Jared Tanner

Zernike's phase contrast microscopy (PCM) is among the most widely used techniques for observing phase objects, but it lacks quantitative nature, as it cannot directly provide phase information. Current methods for computationally…

Principal Component Analysis (PCA) is one of the most important unsupervised methods to handle high-dimensional data. However, due to the high computational complexity of its eigen decomposition solution, it hard to apply PCA to the…

Machine Learning · Computer Science 2016-03-29 Feiping Nie , Heng Huang

Vision foundation models in remote sensing have been extensively studied due to their superior generalization on various downstream tasks. Synthetic Aperture Radar (SAR) offers all-day, all-weather imaging capabilities, providing…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Mengyu Wang , Hanbo Bi , Yingchao Feng , Linlin Xin , Shuo Gong , Tianqi Wang , Zhiyuan Yan , Peijin Wang , Wenhui Diao , Xian Sun

Quarter sampling is a novel sensor concept that enables the acquisition of higher resolution images without increasing the number of pixels. This is achieved by covering three quarters of each pixel of a low-resolution sensor such that only…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Simon Grosche , Kristian Fischer , Fabian Brand , Jürgen Seiler , André Kaup
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