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We develop an imaging algorithm that exploits strong scattering to achieve super-resolution in changing random media. The method processes large and diverse array datasets using sparse dictionary learning, clustering, and multidimensional…

This paper presents a generative model for super-resolution in routine clinical magnetic resonance images (MRI), of arbitrary orientation and contrast. The model recasts the recovery of high resolution images as an inverse problem, in which…

计算机视觉与模式识别 · 计算机科学 2019-09-10 Mikael Brudfors , Yael Balbastre , Parashkev Nachev , John Ashburner

The EM waves transmitted through a thin object with fine structures is observed, by microsphere located above the object. While the waves include both evanescent and propagating waves, the high resolution is obtained by the evanescent ones,…

光学 · 物理学 2024-05-01 Y. Ben-Aryeh

In coherent diffractive imaging (CDI) the resolution of the reconstructed object is limited by the numerical aperture of the experimental setup. We present here a theoretical and numerical study for achieving super-resolution by…

数据分析、统计与概率 · 物理学 2016-09-20 Tatiana Latychevskaia , Yuriy Chushkin , Hans-Werner Fink

The reconstruction problem in electrical impedance tomography is highly ill-posed, and it is often observed numerically that reconstructions have poor resolution far away from the measurement boundary but better resolution near the…

偏微分方程分析 · 数学 2017-05-23 Henrik Garde , Kim Knudsen

This work revisits the hyperspectral super-resolution (HSR) problem, i.e., fusing a pair of spatially co-registered hyperspectral (HSI) and multispectral (MSI) images to recover a super-resolution image (SRI) that enhances the spatial…

图像与视频处理 · 电气工程与系统科学 2025-12-23 Meng Ding , Xiao Fu

We study the seismic inverse problem for the recovery of subsurface properties in acoustic media. In order to reduce the ill-posedness of the problem, the heterogeneous wave speed parameter to be recovered is represented using a limited…

偏微分方程分析 · 数学 2020-09-10 Florian Faucher , Otmar Scherzer , Hélène Barucq

In this paper, we analyze the capacity of super-resolution of one-dimensional positive sources. In particular, we consider the same setting as in [arXiv:1904.09186v2 [math.NA]] and generalize the results there to the case of super-resolving…

图像与视频处理 · 电气工程与系统科学 2022-12-02 Ping Liu , Habib Ammari

Reconstructions of potential in Schrodinger equation with data in the diffusion frequency domain have been successfully obtained within Lippmann-Schwinger-Lanczos (LSL) approach, however limited resolution away from the sensor positions…

数值分析 · 数学 2025-04-08 Anarzhan Abilgazy , Mikhail Zaslavskiy

The ability to resolve detail in the object that is being imaged, named by resolution, is the core parameter of an imaging system. Super-resolution is a class of techniques that can enhance the resolution of an imaging system and even…

数据结构与算法 · 计算机科学 2022-10-13 Yaonan Jin , Daogao Liu , Zhao Song

Two-point super-resolution is an important problem in many signal processing applications. In this paper, we aim to establish a resolution theory for two-point super-resolution from a single snapshot. We consider a complex two-point model…

信号处理 · 电气工程与系统科学 2026-05-07 Xiaole He , Ping Liu , Junling Wang

We present a tool for resolution recovery in multimodal clinical magnetic resonance imaging (MRI). Such images exhibit great variability, both biological and instrumental. This variability makes automated processing with neuroimaging…

图像与视频处理 · 电气工程与系统科学 2019-09-04 Mikael Brudfors , Yael Balbastre , Parashkev Nachev , John Ashburner

In this paper, we show that it is possible to overcome one of the fundamental limitations of super-resolution microscopy techniques: the necessity to be in an \emph{optically homogeneous} environment. Using recent modal approximation…

偏微分方程分析 · 数学 2022-07-14 Lorenzo Baldassari , Alice L. Vanel , Pierre Millien

This work considers a super-resolution framework for overcomplete tensor decomposition. Specifically, we view tensor decomposition as a super-resolution problem of recovering a sum of Dirac measures on the sphere and solve it by minimizing…

信息论 · 计算机科学 2022-02-09 Qiuwei Li , Ashley Prater , Lixin Shen , Gongguo Tang

We address the problem of super-resolution line spectrum estimation of an undersampled signal with block prior information. The component frequencies of the signal are assumed to take arbitrary continuous values in known frequency blocks.…

信息论 · 计算机科学 2014-04-29 Kumar Vijay Mishra , Myung Cho , Anton Kruger , Weiyu Xu

We present a numerical formalism for solving the Lippmann-Schwinger equation for the electric field in three dimensions. The formalism may be applied to scatterers of different shapes and embedded in different background media, and we…

A new tool providing material contrast control in scanning electron microscopy (SEM) is demonstrated. The approach is based on deep-UV illumination during SEM imaging and delivers a novel material based contrast as well as higher resolution…

仪器与探测器 · 物理学 2016-04-07 Gediminas Seniutinas , Armandas Balcytis , Saulius Juodkazis

This paper focuses on the fundamental aspects of super-resolution, particularly addressing the stability of super-resolution and the estimation of two-point resolution. Our first major contribution is the introduction of two…

图像与视频处理 · 电气工程与系统科学 2024-11-20 Ping Liu , Habib Ammari

The paper aims to study the spectral properties of elliptic operators with highly inhomogeneous coefficients and related issues concerning wave propagation in high-contrast media. A unified approach to solving problems in bounded domains…

偏微分方程分析 · 数学 2025-12-19 Yuri A. Godin , Leonid Koralov , Boris Vainberg

Super-resolution is the problem of recovering a superposition of point sources using bandlimited measurements, which may be corrupted with noise. This signal processing problem arises in numerous imaging problems, ranging from astronomy to…

机器学习 · 计算机科学 2015-09-29 Qingqing Huang , Sham M. Kakade