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The transformation from evanescent waves to propagation waves is the key mechanism for the realization of some super-resolution imaging methods. By using the recursive Green function and scattering-matrix theory, we investigated in details…

Mesoscale and Nanoscale Physics · Physics 2017-09-12 Dequan Zhang , Yuchen Xu , Ke Xu , Hao Zhang , Jing Li , Heyuan Zhu , Costas Soukoulis

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…

Machine Learning · Computer Science 2015-09-29 Qingqing Huang , Sham M. Kakade

In this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices. When illuminated by visible light, such particles can…

Mathematical Physics · Physics 2021-08-13 Habib Ammari , Bowen Li , Jun Zou

Fundamental wave features of light play an important role in the realization of superresolution for two spatially separated point sources. It has been shown that (partial) coherence, which is an inevitable feature in practical light…

Quantum Physics · Physics 2023-02-13 Abdelali Sajia , X. -F. Qian

Original realization of a lens capable to transmit images with sub-wavelength resolution is proposed. The lens is formed by parallel conducting wires and effectively operates as a telegraph: it captures image at the front interface and the…

Materials Science · Physics 2009-11-11 Pavel A. Belov , Yang Hao , Sunil Sudhakaran

Diffusion models have recently emerged as a powerful technique in image generation, especially for image super-resolution tasks. While 2D diffusion models significantly enhance the resolution of individual images, existing diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Bohao Chen , Yanchao Zhang , Yanan Lv , Hua Han , Xi Chen

Resolving sources beyond the diffraction limit is important in imaging, communications, and metrology. Current image-based methods of super-resolution require phase information (either of the source points or an added filter) and perfect…

Optics · Physics 2025-12-16 S. A. Wadood , Shaurya Aarav , Kevin Liang , Jason W Fleischer

A mathematical theory is developed to explain the super-resolution and super-focusing in high contrast media. The approach is based on the resonance expansion of the Green function associated with the medium. It is shown that the…

Analysis of PDEs · Mathematics 2017-02-08 Habib Ammari , Hai Zhang

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

We propose a methodology that exploits large and diverse data sets to accurately estimate the ambient medium's Green's functions in strongly scattering media. Given these estimates, obtained with and without the use of neural networks,…

Machine Learning · Computer Science 2024-12-05 Alexander Christie , Matan Leibovich , Miguel Moscoso , Alexei Novikov , George Papanicolaou , Chrysoula Tsogka

This paper is concerned with investigating super-resolution algorithms and solutions for handling electron microscopic images. We note two main aspects differentiating the problem discussed here from those considered in the literature. The…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Yanjun Qian , Jiaxi Xu , Lawrence F. Drummy , Yu Ding

Performing super-resolution of a depth image using the guidance from an RGB image is a problem that concerns several fields, such as robotics, medical imaging, and remote sensing. While deep learning methods have achieved good results in…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Nando Metzger , Rodrigo Caye Daudt , Konrad Schindler

With the recent advancement in deep learning, we have witnessed a great progress in single image super-resolution. However, due to the significant information loss of the image downscaling process, it has become extremely challenging to…

Computer Vision and Pattern Recognition · Computer Science 2018-04-11 Zhifei Zhang , Zhaowen Wang , Zhe Lin , Hairong Qi

Super-resolution imaging refers to imaging techniques that surpass the Rayleigh resolution limit. One standard way to achieve super-resolution is by structuring the phase of the field illuminating the object. Although super-resolution…

Applied Physics · Physics 2025-11-13 Nilakshi Senapati , Abhinandan Bhattacharjee , Kedar Khare , Anand K Jha

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…

Data Structures and Algorithms · Computer Science 2022-10-13 Yaonan Jin , Daogao Liu , Zhao Song

Visualization in the virtual image formed by dielectric microparticles has been shown to enable the distinction of objects that remain indistinguishable under direct observation. We perform the resolution analysis based on a full…

A rigorous mathematical theory is developed to explain the super-resolution phenomenon observed in the experiment by F.Lemoult, M.Fink and G.Lerosey (Acoustic resonators for far-field control of sound on a subwavelength scale, Phys. Rev.…

Analysis of PDEs · Mathematics 2015-06-19 Habib Ammari , Hai Zhang

Super-Resolution is the technique to improve the quality of a low-resolution photo by boosting its plausible resolution. The computer vision community has extensively explored the area of Super-Resolution. However, previous Super-Resolution…

Image and Video Processing · Electrical Eng. & Systems 2022-04-20 Ankur Singh , Piyush Rai

Metasurfaces offered great opportunities to control electromagnetic (EM) waves, but currently available meta-devices typically work either in pure reflection or pure transmission mode, leaving half of EM space completely unexplored. Here,…

Applied Physics · Physics 2017-10-04 Tong Cai , GuangMing Wang , ShiWei Tang , HeXiu Xu , JingWen Duan , HuiJie Guo , FuXin Guan , ShuLin Sun , Qiong He , Lei Zhou

In this paper we consider the inverse scattering problem for high-contrast targets. We mathematically analyze the experimentally-observed phenomenon of super-resolution in imaging the target shape. This is the first time that a mathematical…

Mathematical Physics · Physics 2014-10-07 Habib Ammari , Yat Tin Chow , Jun Zou