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A fairly general expression for a light beam is found as a solution of the paraxial Helmholtz equation. It is achieved by exploiting appropriately chosen complex variables which entail the separability of the equation. Next, the expression…

Optics · Physics 2025-06-17 Tomasz Radozycki

Dominant features of spatial data are connected structures or patterns that emerge from location-based variation and manifest at specific scales or resolutions. To identify dominant features, we propose a sequential application of…

Methodology · Statistics 2020-12-17 Roman Flury , Florian Gerber , Bernhard Schmid , Reinhard Furrer

Imaging systems measuring intensity in the far field succumb to Rayleigh's curse, a resolution limitation dictated by the finite aperture of the optical system. Many proof-of-principle and some two-dimensional imaging experiments have shown…

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

Computer Vision and Pattern Recognition · Computer Science 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

{Using two different approaches, we study imaging in the strong lens regime taking into account the effects of plasmatic environments on light propagation. First, we extend the use of a perturbative approach that allows us to quickly and…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Gabriel Crisnejo , Emanuel Gallo , Ezequiel Boero , Osvaldo M. Moreschi

This paper proposes a novel feature called spectrum congruency for describing edges in images. The spectrum congruency is a generalization of the phase congruency, which depicts how much each Fourier components of the image are congruent in…

Image and Video Processing · Electrical Eng. & Systems 2021-03-11 Fang Yang , Xin Su , Li Chai

I propose a superoscillation measurement method for subdiffraction incoherent optical sources, with potential applications in astronomy, remote sensing, fluorescence microscopy, and spectroscopy. The proposal, based on coherent optical…

Quantum Physics · Physics 2022-10-10 Mankei Tsang

This paper addresses the problem of distributed coding of images whose correlation is driven by the motion of objects or positioning of the vision sensors. It concentrates on the problem where images are encoded with compressed linear…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Vijayaraghavan Thirumalai , Pascal Frossard

Speckle based imaging consists of forming a super-resolved reconstruction of an unknown sample from low-resolution images obtained under random inhomogeneous illuminations (speckles). In a blind context where the illuminations are unknown,…

Data Analysis, Statistics and Probability · Physics 2017-11-10 Jérôme Idier , Simon Labouesse , Marc Allain , Penghuan Liu , Sébastien Bourguignon , Anne Sentenac

Image decomposition plays a crucial role in various computer vision tasks, enabling the analysis and manipulation of visual content at a fundamental level. Overlapping images, which occur when multiple objects or scenes partially occlude…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Saúl Alonso-Monsalve , Davide Sgalaberna , Xingyu Zhao , Adrien Molines , Clark McGrew , André Rubbia

Single image super-resolution aims to generate a high-resolution image from a single low-resolution image, which is of great significance in extensive applications. As an ill-posed problem, numerous methods have been proposed to reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2017-11-07 Longguang Wang , Zaiping Lin , Jinyan Gao , Xinpu Deng , Wei An

The resolution of optical imaging devices is ultimately limited by the diffraction of light. To circumvent this limit, modern super-resolution microscopy techniques employ active interaction with the object by exploiting its optical…

Optics · Physics 2022-01-05 A. A. Pushkina , G. Maltese , J. I. Costa-Filho , P. Patel , A. I. Lvovsky

Light field cameras have been proved to be powerful tools for 3D reconstruction and virtual reality applications. However, the limited resolution of light field images brings a lot of difficulties for further information display and…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Qingyan Sun , Shuo Zhang , Song Chang , Lixi Zhu , Youfang Lin

We present a fast and accurate method for dense depth reconstruction from sparsely sampled light fields obtained using a synchronized camera array. In our method, the source images are over-segmented into non-overlapping compact superpixels…

Image and Video Processing · Electrical Eng. & Systems 2018-12-18 Aleksandra Chuchvara , Attila Barsi , Atanas Gotchev

Multi-photon split states, where each photon is in a different spatial mode, represent an essential resource for various quantum applications, yet their efficient characterization remains an open problem. Here, we formulate the general…

Quantum Physics · Physics 2023-08-30 Jihua Zhang , Andrey A. Sukhorukov

Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core subproblem in all source extension methods is the solution of a…

Numerical Analysis · Mathematics 2022-04-01 William W. Symes

The goal of self-supervised visual representation learning is to learn strong, transferable image representations, with the majority of research focusing on object or scene level. On the other hand, representation learning at part level has…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Subhabrata Choudhury , Iro Laina , Christian Rupprecht , Andrea Vedaldi

This paper studies the recovery of a superposition of point sources from noisy bandlimited data. In the fewest possible words, we only have information about the spectrum of an object in a low-frequency band bounded by a certain cut-off…

Information Theory · Computer Science 2013-07-11 Emmanuel Candes , Carlos Fernandez-Granda

Spectral line intensity mapping has been proposed as a promising tool to efficiently probe the cosmic reionization and the large-scale structure. Without detecting individual sources, line intensity mapping makes use of all available…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Yun-Ting Cheng , Tzu-Ching Chang , James Bock , C. Matt Bradford , Asantha Cooray

Quantitative imaging biomarkers (QIB) are extracted from medical images in radiomics for a variety of purposes including noninvasive disease detection, cancer monitoring, and precision medicine. The existing methods for QIB extraction tend…

Methodology · Statistics 2021-03-23 ShengLi Tzeng , Jun Zhu , Amy Weisman , Tyler Bradshaw , Robert Jeraj
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