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The standard imaging algorithm for interferometric radio data, CLEAN, is optimal for point source observations, but suboptimal for diffuse emission. Recently, RESOLVE, a new Bayesian algorithm has been developed, which is ideal for extended…

天体物理仪器与方法 · 物理学 2017-02-28 Maksim Greiner , Valentina Vacca , Henrik Junklewitz , Torsten A. Enßlin

Even though image signals are typically defined on a regular two-dimensional grid, there also exist many scenarios where this is not the case and the amplitude of the image signal only is available for a non-regular subset of pixel…

图像与视频处理 · 电气工程与系统科学 2022-04-28 Jürgen Seiler , Markus Jonscher , Michael Schöberl , André Kaup

We provide a quantitative analysis of super-resolution imaging techniques which exploit temporal fluctuations of luminosity of the sources in order to beat the Rayleigh limit. We define an operationally justified resolution gain figure of…

量子物理 · 物理学 2021-06-08 Stanislaw Kurdzialek , Rafal Demkowicz-Dobrzanski

We analyze the fundamental resolution of incoherent optical point sources from the perspective of a quantum detection problem: deciding whether the optical field on the image plane is generated by one source or two weaker sources with…

量子物理 · 物理学 2019-11-07 Xiao-Ming Lu , Ranjith Nair , Mankei Tsang

In practice, images can contain different amounts of noise for different color channels, which is not acknowledged by existing super-resolution approaches. In this paper, we propose to super-resolve noisy color images by considering the…

计算机视觉与模式识别 · 计算机科学 2021-12-15 Srimanta Mandal , Kuldeep Purohit , A. N. Rajagopalan

In this work we consider the problem of identification and reconstruction of doubly-dispersive channel operators which are given by finite linear combinations of time-frequency shifts. Such operators arise as time-varying linear systems for…

信息论 · 计算机科学 2021-01-28 Robert Beinert , Peter Jung , Gabriele Steidl , Tom Szollmann

Inverse Problem techniques offer powerful tools which deal naturally with marginal data and asymmetric or strongly smoothing kernels, in cases where parameter-fitting methods may be used only with some caution. Although they are typically…

天体物理学 · 物理学 2007-05-23 Norman Gray , Iain J. Coleman

The aim of two-dimensional line spectral estimation is to super-resolve the spectral point sources of the signal from time samples. In many associated applications such as radar and sonar, due to cut-off and saturation regions in electronic…

信息论 · 计算机科学 2020-01-08 Iman Valiulahi , Farzan Haddadi , Arash Amini

We propose an adaptive refinement algorithm to solve total variation regularized measure optimization problems. The method iteratively constructs dyadic partitions of the unit cube based on i) the resolution of discretized dual problems and…

最优化与控制 · 数学 2023-01-19 Axel Flinth , Frédéric de Gournay , Pierre Weiss

The paper deals with the construction of images from visibilities acquired using aperture synthesis instruments: Fourier synthesis, deconvolution, and spectral interpolation/extrapolation. Its intended application is to specific situations…

天体物理学 · 物理学 2016-08-30 J. -F. Giovannelli , A. Coulais

In this paper we consider the problem of localizing a set of broadband sources from a finite window of measurements. In the case of narrowband sources this can be reduced to the problem of spectral line estimation, where our goal is simply…

信号处理 · 电气工程与系统科学 2022-10-24 Coleman DeLude , Rakshith Sharma , Santhosh Karnik , Christopher Hood , Mark Davenport , Justin Romberg

Radiation source detection has seen various applications in the past decade, ranging from the detection of dirty bombs in public places to scanning critical nuclear facilities for leakage or flaws, and in the autonomous inspection of…

机器人学 · 计算机科学 2018-01-10 Dhruv Shah , Sebastian Scherer

Estimating the angular separation between two incoherent thermal sources is a challenging task for direct imaging, especially when it is smaller than or comparable to the Rayleigh length. In addition, the task of discriminating whether…

量子物理 · 物理学 2025-06-23 Ugo Zanforlin , Cosmo Lupo , Peter W. R. Connolly , Pieter Kok , Gerald S. Buller , Zixin Huang

Recent efforts on solving inverse problems in imaging via deep neural networks use architectures inspired by a fixed number of iterations of an optimization method. The number of iterations is typically quite small due to difficulties in…

图像与视频处理 · 电气工程与系统科学 2021-06-04 Davis Gilton , Gregory Ongie , Rebecca Willett

The light stage has been widely used in computer graphics for the past two decades, primarily to enable the relighting of human faces. By capturing the appearance of the human subject under different light sources, one obtains the light…

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

机器学习 · 统计学 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

A new technique for reliably identifying point sources in millimeter/sub-millimeter wavelength maps is presented. This method accounts for the frequency dependence of noise in the Fourier domain as well as non-uniformities in the coverage…

天体物理仪器与方法 · 物理学 2015-06-15 T. A. Perera , G. W. Wilson , K. S. Scott , J. E. Austermann , J. R. Schaar , A. Mancera

We present a pursuit-like algorithm that we call the "superset method" for recovery of sparse vectors from consecutive Fourier measurements in the super-resolution regime. The algorithm has a subspace identification step that hinges on the…

信息论 · 计算机科学 2013-06-11 Laurent Demanet , Deanna Needell , Nam Nguyen

This paper studies the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements collected by a uniform array of sensors. We prove novel stability bounds for…

信息论 · 计算机科学 2022-10-12 Weilin Li , Zengying Zhu , Weiguo Gao , Wenjing Liao

Self-supervised learning is crucial for super-resolution because ground-truth images are usually unavailable for real-world settings. Existing methods derive self-supervision from low-resolution images by creating pseudo-pairs or by…

图像与视频处理 · 电气工程与系统科学 2024-11-26 Yuehan Zhang , Angela Yao