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Super-resolved far-field microscopy has emerged as a powerful tool for investigating the structure of objects with resolution well below the diffraction limit of light. Nearly all super-resolution imaging techniques reported to date rely on…

The purpose of this paper is to investigate the spectral nature of the Neumann-Poincar\'e operator on the intersecting disks, which is a domain with the Lipschitz boundary. The complete spectral resolution of the operator is derived, which…

偏微分方程分析 · 数学 2015-01-14 Hyeonbae Kang , Mikyoung Lim , Sanghyeon Yu

The point of the paper is to show some limitations of geometrical optics in the analysis of subwavelength focusing. We analyze the resolution of the image of a line source radiating in the Maxwell fisheye and the Veselago-Pendry slab lens.…

光学 · 物理学 2010-09-03 Sebastien Guenneau , Andre Diatta , Ross McPhedran

We address the problem of super-resolution frequency recovery using prior knowledge of the structure of a spectrally sparse, undersampled signal. In many applications of interest, some structure information about the signal spectrum is…

信息论 · 计算机科学 2014-09-08 Kumar Vijay Mishra , Myung Cho , Anton Kruger , Weiyu Xu

Analytic representation formulas and power series are developed describing the band structure inside non-magnetic periodic photonic three-dimensional crystals made from high dielectric contrast inclusions. Central to this approach is the…

偏微分方程分析 · 数学 2021-10-26 Robert Lipton , Robert Viator , Silvia Jimenez Bolanos , Abiti Adili

This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

偏微分方程分析 · 数学 2016-11-15 Hongyu Liu , Jingni Xiao

The present article proposes a partial answer to the explicit inversion of the tensor tomography problem in two dimensions, by proving injectivity over certain kinds of tensors and providing reconstruction formulas for them. These tensors…

偏微分方程分析 · 数学 2015-06-18 François Monard

With the advent of microsphere assisted microscopy in 2011, this technique emerged as a simple and easy way to obtain optical super-resolution. Although the possible mechanisms of imaging by microspheres are debated in the literature, most…

光学 · 物理学 2015-08-27 Navid Farahi

Image super-resolution (SR) has attracted increasing attention due to its wide applications. However, current SR methods generally suffer from over-smoothing and artifacts, and most work only with fixed magnifications. This paper introduces…

计算机视觉与模式识别 · 计算机科学 2023-09-06 Sicheng Gao , Xuhui Liu , Bohan Zeng , Sheng Xu , Yanjing Li , Xiaoyan Luo , Jianzhuang Liu , Xiantong Zhen , Baochang Zhang

We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the stable recovery of some general class of magnetic field and…

偏微分方程分析 · 数学 2021-11-24 Yavar Kian , Yosra Soussi

In this work we present a new algorithm for data deconvolution that allows the retrieval of the target function with super-resolution with a simple approach that after a precis e measurement of the instrument response function (IRF), the…

计算机视觉与模式识别 · 计算机科学 2018-12-07 Sandra Martínez , Oscar E. Martínez

In this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physical problem is formulated as an…

数学物理 · 物理学 2026-01-21 Habib Ammari , Erik Orvehed Hiltunen , Ping Liu , Borui Miao , Yi Zhu

In this paper, we address the problem of recovering point sources from two dimensional low-pass measurements, which is known as super-resolution problem. This is the fundamental concern of many applications such as electronic imaging,…

信息论 · 计算机科学 2019-05-17 Iman Valiulahi , Sajad Daei , Farzan Haddadi , Farzad Parvaresh

In mathematics, a super-resolution problem can be formulated as acquiring high-frequency data from low-frequency measurements. This extrapolation problem in the frequency domain is well-known to be unstable. We propose a model-based…

信息论 · 计算机科学 2025-11-04 Zetao Fei , Hai Zhang

The electromagnetic (EM) radiation force-per-length exerted on a pair of electrically-conducting cylindrical particles of circular and non-circular cross-sections is examined using a formal semi-analytical method based on boundary matching…

经典物理 · 物理学 2018-10-09 F. G. Mitri

Single image super-resolution traditionally assumes spatially-invariant degradation models, yet real-world imaging systems exhibit complex distance-dependent effects including atmospheric scattering, depth-of-field variations, and…

计算机视觉与模式识别 · 计算机科学 2025-10-30 Tianhao Guo , Bingjie Lu , Feng Wang , Zhengyang Lu

Hyperspectral image super-resolution addresses the problem of fusing a low-resolution hyperspectral image (LR-HSI) and a high-resolution multispectral image (HR-MSI) to produce a high-resolution hyperspectral image (HR-HSI). Tensor analysis…

数值分析 · 数学 2022-12-07 Diyi Jin , Jianjun Liu , Jinlong Yang , Zebin Wu

The spectral problem for an infinite periodic medium perturbed by a compact defect is considered. For a high contrast small $\ve$-size periodicity and a finite size defect we consider the critical $\ve^2$-scaling for the contrast. We employ…

谱理论 · 数学 2018-01-11 I. V. Kamotski , V. P. Smyshlyaev

Recently, the Magnetic Resonance Imaging (MRI) images have limited and unsatisfactory resolutions due to various constraints such as physical, technological and economic considerations. Super-resolution techniques can obtain high-resolution…

计算机视觉与模式识别 · 计算机科学 2019-02-14 Yinghua Li , Bin Song , Jie Guo , Xiaojiang Du , Mohsen Guizani

In this paper we explain a process of super-resolution reconstruction allowing to increase the resolution of an image.The need for high-resolution digital images exists in diverse domains, for example the medical and spatial domains. The…

图像与视频处理 · 电气工程与系统科学 2022-12-07 Sebastien Lablanche , Gerard Lablanche