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This paper addresses a factorization method for imaging the support of a wave-number-dependent source function from multi-frequency data measured at a finite pair of symmetric receivers in opposite directions. The source function is given…

数值分析 · 数学 2024-01-17 Hongxia Guo , Guanghui Hu , Guanqiu Ma

Modern Giant Segmented Mirror Telescopes (GSMT) like the Extremely Large Telescope (ELT), currently under construction depend heavily on Adaptive Optics (AO) systems to correct for atmospheric turbulence. To be able to correct wider fields…

天体物理仪器与方法 · 物理学 2021-11-15 Roland Wagner , Daniela Saxenhuber , Ronny Ramlau , Simon Hubmer

We propose a data-assisted two-stage method for solving an inverse random source problem of the Helmholtz equation. In the first stage, the regularized Kaczmarz method is employed to generate initial approximations of the mean and variance…

数值分析 · 数学 2024-03-05 Peijun Li , Ying Liang , Yuliang Wang

A new concept of using focus-diverse point spread functions (PSFs) for modal wavefront sensing (WFS) is explored. This is based on relatively straightforward image moment analysis of measured PSFs, which differentiates it from other…

光学 · 物理学 2012-02-27 Hanshin Lee

Decreasing magnetic resonance (MR) image acquisition times can potentially reduce procedural cost and make MR examinations more accessible. Compressed sensing (CS)-based image reconstruction methods, for example, decrease MR acquisition…

图像与视频处理 · 电气工程与系统科学 2018-10-31 Roberto Souza , Richard Frayne

The problem of recovering a moment-determinate multivariate function $f$ via its moment sequence is studied. Under mild conditions on $f$, the point-wise and $L_1$-rates of convergence for the proposed constructions are established. The…

统计理论 · 数学 2023-12-08 Robert Mnatsakanov , Rafik Aramyan , Farhad Jafari

Shape-from-Template (SfT) refers to the class of methods that reconstruct the 3D shape of a deforming object from images/videos using a 3D template. Traditional SfT methods require point correspondences between images and the texture of the…

计算机视觉与模式识别 · 计算机科学 2026-05-04 Thuy Tran , Ruochen Chen , Shaifali Parashar

In this work we reduce undersampling artefacts in two-dimensional ($2D$) golden-angle radial cine cardiac MRI by applying a modified version of the U-net. We train the network on $2D$ spatio-temporal slices which are previously extracted…

图像与视频处理 · 电气工程与系统科学 2019-08-14 Andreas Kofler , Marc Dewey , Tobias Schaeffter , Christian Wald , Christoph Kolbitsch

In this paper, we address the inverse problem of fast, stable, and high-quality wavefront reconstruction from pyramid wavefront sensor data for Adaptive Optics systems on Extremely Large Telescopes. For solving the indicated problem we…

天体物理仪器与方法 · 物理学 2019-05-01 Victoria Hutterer , Ronny Ramlau , Iuliia Shatokhina

Time-resolved CT is an advanced measurement technique that has been widely used to observe dynamic objects, including periodically varying structures such as hearts, lungs, or hearing structures. To reconstruct these objects from CT…

医学物理 · 物理学 2025-06-05 Qianwei Qu , Christian M. Schlepütz , Marco Stampanoni

Image subtraction is essential for transient detection in time-domain astronomy. The point spread function (PSF), photometric scaling, and sky background generally vary with time and across the field-of-view for imaging data taken with…

天体物理仪器与方法 · 物理学 2022-09-14 Lei Hu , Lifan Wang , Xingzhuo Chen , Jiawen Yang

Dynamic magnetic resonance imaging (MRI) exhibits high correlations in k-space and time. In order to accelerate the dynamic MR imaging and to exploit k-t correlations from highly undersampled data, here we propose a novel deep learning…

图像与视频处理 · 电气工程与系统科学 2019-07-23 Chen Qin , Jo Schlemper , Jinming Duan , Gavin Seegoolam , Anthony Price , Joseph Hajnal , Daniel Rueckert

Speed-of-sound (SoS) is an emerging ultrasound contrast modality, where pulse-echo techniques using conventional transducers offer multiple benefits. For estimating tissue SoS distributions, spatial domain reconstruction from relative…

图像与视频处理 · 电气工程与系统科学 2023-09-04 Can Deniz Bezek , Maxim Haas , Richard Rau , Orcun Goksel

In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

We consider the inverse problem of the reconstruction of the spatially distributed dielectric constant $\varepsilon_{r}\left(\mathbf{x}\right), \ \mathbf{x}\in \mathbb{R}^{3}$, which is an unknown coefficient in the Maxwell's equations,…

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a…

数学物理 · 物理学 2016-09-07 A. G. Ramm , W. Scheid

Transformer-based image restoration methods in adverse weather have achieved significant progress. Most of them use self-attention along the channel dimension or within spatially fixed-range blocks to reduce computational load. However,…

计算机视觉与模式识别 · 计算机科学 2024-07-26 Shangquan Sun , Wenqi Ren , Xinwei Gao , Rui Wang , Xiaochun Cao

With an extremely high dimensionality, the spatial degree of freedom of entangled photons is a key tool for quantum foundation and applied quantum techniques. To fully utilize the feature, the essential task is to experimentally…

Aiming at the problems that the convolutional neural networks neglect to capture the inherent attributes of natural images and extract features only in a single scale in the field of image super-resolution reconstruction, a network…

图像与视频处理 · 电气工程与系统科学 2020-04-09 Jiawen Lyn , Sen Yan

We present a liquid crystal method of correcting the phase of an aberrated wavefront using a spatial light modulator. A simple and efficient lab model has been demonstrated for wavefront correction. The crux of a wavefront correcting system…

天体物理仪器与方法 · 物理学 2009-10-11 Akondi Vyas , M. B. Roopashree , Ravinder Kumar Banyal , B. Raghavendra Prasad