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Given underdetermined measurements of a Positive Semi-Definite (PSD) matrix $X$ of known low rank $K$, we present a new algorithm to estimate $X$ based on recent advances in non-convex optimization schemes. We apply this in particular to…

最优化与控制 · 数学 2020-01-29 Marcus Carlsson , Daniele Gerosa

Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Mahrokh Najaf , Gregory Ongie

Improving resolution and sensitivity will widen possible medical applications of magnetic particle imaging. Pulsed excitation promises such benefits, at the cost of more complex hardware solutions and restrictions on drive field amplitude…

Radio Tomographic Imaging (RTI) is a phaseless imaging approach that can provide shape reconstruction and localization of objects using received signal strength (RSS) measurements. RSS measurements can be straightforwardly obtained from…

应用物理 · 物理学 2023-11-17 Amartansh Dubey , Zan Li , Ross Murch

We study a class of real robust phase retrieval problems under a Gaussian assumption on the coding matrix when the received signal is sparsely corrupted by noise. The goal is to establish conditions on the sparsity under which the input…

信息论 · 计算机科学 2019-05-27 Aleksandr Aravkin , James Burke , Daiwei He

Generally, phase retrieval problem can be viewed as the reconstruction of a function/signal from only the magnitude of the linear measurements. These measurements can be, for example, the Fourier transform of the density function.…

最优化与控制 · 数学 2019-11-21 Bing Gao , Haixia Liu , Yang Wang

We consider the problem of recovering signals from their power spectral density. This is a classical problem referred to in literature as the phase retrieval problem, and is of paramount importance in many fields of applied sciences. In…

信息论 · 计算机科学 2013-11-12 Kishore Jaganathan , Samet Oymak , Babak Hassibi

Hyperspectral Imaging (HSI) is used in a wide range of applications such as remote sensing, yet the transmission of the HS images by communication data links becomes challenging due to the large number of spectral bands that the HS images…

计算机视觉与模式识别 · 计算机科学 2024-01-29 Jon Alvarez Justo , Milica Orlandic

This paper addresses the problem of recovering projective camera matrices from collections of fundamental matrices in multiview settings. We make two main contributions. First, given ${n \choose 2}$ fundamental matrices computed for $n$…

计算机视觉与模式识别 · 计算机科学 2021-06-08 Yoni Kasten , Amnon Geifman , Meirav Galun , Ronen Basri

The structure of Magnetic Resonance Images (MRI) and especially their compressibility in an appropriate representation basis enables the application of the compressive sensing theory, which guarantees exact image recovery from incomplete…

统计理论 · 数学 2013-07-26 Nicolas Chauffert , Philippe Ciuciu , Pierre Weiss

This paper reported a general noninterferometric high-accuracy quantitative phase imaging (QPI) method for arbitrary complex valued objects. Given by a typical 4f optical configuration as the imaging system, three frames of small-window…

图像与视频处理 · 电气工程与系统科学 2021-05-05 Jianhui Huang , An Pan , Huiliang Jin , Guoxiang Meng , Qian Ye

In this paper we consider the problem of recovering a high dimensional data matrix from a set of incomplete and noisy linear measurements. We introduce a new model that can efficiently restrict the degrees of freedom of the problem and is…

信息论 · 计算机科学 2012-11-22 Mohammad Golbabaee , Pierre Vandergheynst

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

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

数值分析 · 计算机科学 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

Magnetic Particle Imaging (MPI) is an emerging imaging modality that maps the spatial distribution of magnetic nanoparticles. The x-space reconstruction in MPI results in highly blurry images, where the resolution depends on both system…

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…

计算机视觉与模式识别 · 计算机科学 2023-06-28 Josiah Smith , Yusef Alimam , Geetika Vedula , Murat Torlak

We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer…

数值分析 · 数学 2015-06-05 Kazufumi Ito , Bangti Jin , Jun Zou

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

数值分析 · 数学 2025-10-20 Veit Elser

Hyperspectral imaging, providing abundant spatial and spectral information simultaneously, has attracted a lot of interest in recent years. Unfortunately, due to the hardware limitations, the hyperspectral image (HSI) is vulnerable to…

计算机视觉与模式识别 · 计算机科学 2017-09-04 Yi Chang , Luxin Yan , Houzhang Fang , Sheng Zhong , Zhijun Zhang

Hyperspectral remote sensing images (HSIs) are characterized by having a low spatial resolution and a high spectral resolution, whereas multispectral images (MSIs) are characterized by low spectral and high spatial resolutions. These…

计算机视觉与模式识别 · 计算机科学 2014-06-11 Miguel Simões , José Bioucas-Dias , Luis B. Almeida , Jocelyn Chanussot