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No imaging apparatus can produce perfect images: spatial resolution is limited by the Rayleigh diffraction bound that is a consequence of the imager's finite spatial extent. We show some N-photon strategies that permit resolution of details…

Quantum Physics · Physics 2009-02-25 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone , Jeffrey H. Shapiro

In this work we study the increasing resolution of linear inverse scattering problems at a large fixed frequency. We consider the problem of recovering the density of a Herglotz wave function, and the linearized inverse scattering problem…

Analysis of PDEs · Mathematics 2025-03-07 Pu-Zhao Kow , Mikko Salo , Sen Zou

Most existing super-resolution methods and datasets have been developed to improve the image quality in well-lighted conditions. However, these methods do not work well in real-world low-light conditions as the images captured in such…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Yang Liu , Yaofang Liu , Jinshan Pan , Yuxiang Hui , Fan Jia , Raymond H. Chan , Tieyong Zeng

The main challenge of single image super resolution (SISR) is the recovery of high frequency details such as tiny textures. However, most of the state-of-the-art methods lack specific modules to identify high frequency areas, causing the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-19 Yuan Liu , Yuancheng Wang , Nan Li , Xu Cheng , Yifeng Zhang , Yongming Huang , Guojun Lu

Super-resolution results are usually measured by full-reference image quality metrics or human rating scores. However, these evaluation methods are general image quality measurement, and do not account for the nature of the super-resolution…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Sheng Cheng

Single-image relighting is highly under-constrained: small illumination changes can produce large, nonlinear variations in shading, shadows, and specularities, while geometry and materials remain unobserved. Existing diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Haoze Zheng , Zihao Wang , Xianfeng Wu , Yajing Bai , Yexin Liu , Yun Li , Xiaogang Xu , Harry Yang

In this paper, motivated by diffraction of traveling light waves, a simple mathematical model is proposed, both for the multivariate super-resolution problem and the problem of blind-source separation of real-valued exponential sums. This…

Numerical Analysis · Mathematics 2017-08-01 Charles K. Chui , Hrushikesh N. Mhaskar

Confocal microscopy has long been a cornerstone technique for visualizing complex interactions and processes within cellular structures. However, achieving super-resolution imaging of multiple organelles and their interactions…

Optics · Physics 2025-08-19 Qinglin Chen , Luwei Wang , Jia Li , Dan Shao , Xiaoyu Weng , Liwei Liu , Dayong Jin , Junle Qu

Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in…

Quantum Physics · Physics 2025-04-01 Konrad Schlichtholz , Łukasz Rudnicki

We present a simple, yet effective diffusion-based method for fine-grained, parametric control over light sources in an image. Existing relighting methods either rely on multiple input views to perform inverse rendering at inference time,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-15 Nadav Magar , Amir Hertz , Eric Tabellion , Yael Pritch , Alex Rav-Acha , Ariel Shamir , Yedid Hoshen

Diffusion models have recently demonstrated strong performance for image restoration tasks, including super-resolution. However, their large model size and iterative sampling procedures make them computationally expensive for practical…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Sowmya Vajrala , Akshay Bankar , Manjunath Arveti , Shreyas Pandith , Sravanth Kodavanti , Subhajit Sanyal , Amit Unde , Srinivas Soumitri Miriyala

We describe a novel method for blind, single-image spectral super-resolution. While conventional super-resolution aims to increase the spatial resolution of an input image, our goal is to spectrally enhance the input, i.e., generate an…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Silvano Galliani , Charis Lanaras , Dimitrios Marmanis , Emmanuel Baltsavias , Konrad Schindler

We consider the problem of reconstructing two signals from the autocorrelation and cross-correlation measurements. This inverse problem is a fundamental one in signal processing, and arises in many applications, including phase retrieval…

Information Theory · Computer Science 2016-10-11 Kishore Jaganathan , Babak Hassibi

Radio source detection through conventional algorithms has been unreliable when trying to solve for large number of sources in the presence of low SINR and less number of snapshots. We address this by reformulating source detection as a…

Signal Processing · Electrical Eng. & Systems 2023-02-02 Jayakrishnan Vijayamohanan , Arjun Gupta , Oameed Noakoasteen , Sotirios Goudos , Christos Christodoulou

We study an inverse problem for the wave equation where localized wave sources in random scattering media are to be determined from time resolved measurements of the waves at an array of receivers. The sources are far from the array, so the…

Mathematical Physics · Physics 2016-07-18 Liliana Borcea , Ilker Kocyigit

The objective of image super-resolution is to reconstruct a high-resolution (HR) image with the prior knowledge from one or several low-resolution (LR) images. However, in the real world, due to the limited complementary information, the…

Image and Video Processing · Electrical Eng. & Systems 2024-12-16 Jing Sun , Qiangqiang Yuan , Huanfeng Shen , Jie Li , Liangpei Zhang

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…

Analysis of PDEs · Mathematics 2022-07-14 Lorenzo Baldassari , Alice L. Vanel , Pierre Millien

This paper describes a linear solution method for near-light photometric stereo by exploiting symmetric light source arrangements. Unlike conventional non-convex optimization approaches, by arranging multiple sets of symmetric nearby light…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Lilika Makabe , Heng Guo , Hiroaki Santo , Fumio Okura , Yasuyuki Matsushita

Speckle noise is a fundamental challenge in coherent imaging systems, significantly degrading image quality. Over the past decades, numerous despeckling algorithms have been developed for applications such as Synthetic Aperture Radar (SAR)…

Information Theory · Computer Science 2025-01-31 Ali Zafari , Shirin Jalali

This paper concerns the inverse source problems for the time-harmonic elastic and electromagnetic wave equations. The goal is to determine the external force and the electric current density from boundary measurements of the radiated wave…

Analysis of PDEs · Mathematics 2018-08-17 Gang Bao , Peijun Li , Yue Zhao
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