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The notion of a Fast Moving Object (FMO), i.e. an object that moves over a distance exceeding its size within the exposure time, is introduced. FMOs may, and typically do, rotate with high angular speed. FMOs are very common in sports…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Denys Rozumnyi , Jan Kotera , Filip Sroubek , Lukas Novotny , Jiri Matas

Geometrical optics describes, with good accuracy, the propagation of high-frequency plane waves through an electromagnetic medium. Under such approximation, the behaviour of the electromagnetic fields is characterised by just three…

General Relativity and Quantum Cosmology · Physics 2014-01-17 Alberto Favaro , Friedrich W. Hehl

Few-shot multispectral object detection (FSMOD) addresses the challenge of detecting objects across visible and thermal modalities with minimal annotated data. In this paper, we explore this complex task and introduce a framework named…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Manuel Nkegoum , Minh-Tan Pham , Élisa Fromont , Bruno Avignon , Sébastien Lefèvre

Detecting novel objects from few examples has become an emerging topic in computer vision recently. However, these methods need fully annotated training images to learn new object categories which limits their applicability in real world…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Amirreza Shaban , Amir Rahimi , Thalaiyasingam Ajanthan , Byron Boots , Richard Hartley

We analyse the scattering operator associated with the defocusing nonlinear Schr{\"o}dinger equation which captures the evolution of solutions over an infinite time-interval under the nonlinear flow of this equation. The asymptotic nature…

Analysis of PDEs · Mathematics 2026-04-08 Rémi Carles , Georg Maierhofer

In this paper we describe a simple method that allows for a fast direct computation of the scattering matrix for a surface with hyperbolic cusps from the Neumann-to-Dirichlet map on the compact manifold with boundary obtained by removing…

Spectral Theory · Mathematics 2019-06-19 Michael Levitin , Alexander Strohmaier

This paper is concerned with the unique identification of the shape of a scatterer through a single far-field pattern in an inverse elastic medium scattering problem with a generalized transmission boundary condition. The uniqueness issue…

Analysis of PDEs · Mathematics 2023-12-06 Huaian Diao , Ruixiang Tang , Hongyu Liu , Jiexin Tang

The discovery of exoplanets has expanded our understanding of planetary systems and opened new avenues for astronomical research. In this study, we present a machine learning (ML) framework for exoplanet identification using a time-series…

Earth and Planetary Astrophysics · Physics 2025-08-14 Reihaneh Karimi , Mahdiyar Mousavi-Sadr , Mohammad H. Zhoolideh Haghighi , Fatemeh S. Tabatabaei

We propose a flexible method for estimating luminosity functions (LFs) based on kernel density estimation (KDE), the most popular nonparametric density estimation approach developed in modern statistics, to overcome issues surrounding…

Methodology · Statistics 2020-05-01 Zunli Yuan , Matt J. Jarvis , Jiancheng Wang

Optical nanoscopy is crucial in life and materials sciences, revealing subtle cellular processes and nanomaterial properties. Scattering-type Scanning Near-field Optical Microscopy (s-SNOM) provides nanoscale resolution, relying on the…

The quantum state of a light beam can be represented as an infinite dimensional density matrix or equivalently as a density on the plane called the Wigner function. We describe quantum tomography as an inverse statistical problem in which…

Statistics Theory · Mathematics 2007-06-13 L. M. Artiles , R. D. Gill , M. I. Guta

The Dark Matter present in the Large-Scale Structure of the Universe is invisible, but its presence can be inferred through the small gravitational lensing effect it has on the images of far away galaxies. By measuring this lensing effect…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-18 Benjamin Remy , Francois Lanusse , Zaccharie Ramzi , Jia Liu , Niall Jeffrey , Jean-Luc Starck

Channel knowledge map (CKM) is a promising technique that enables environment-aware wireless networks by utilizing location-specific channel prior information to improve communication and sensing performance. A fundamental problem for CKM…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Shen Fu , Zijian Wu , Di Wu , Yong Zeng

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

Propagation of an ultrashort pulse of light through strongly scattering media generates an intricate spatio-spectral speckle that can be described by means of the multi-spectral transmission matrix (MSTM). In conjunction with a spatial…

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

Optical imaging through scattering media is a long-standing challenge. Although many approaches have been developed to focus light or image objects through scattering media, they are either invasive, restricted to stationary or…

Optics · Physics 2022-10-11 Xingchen Zhao , Xiaoyu Nie , Zhenhuan Yi , Tao Peng , Marlan O. Scully

In this paper, we tackle a critical issue in nonparametric inference for systems of interacting particles on Riemannian manifolds: the identifiability of the interaction functions. Specifically, we define the function spaces on which the…

Numerical Analysis · Mathematics 2024-09-11 Sui Tang , Malik Tuerkoen , Hanming Zhou

We propose a direct imaging method based on the reverse time migration to reconstruct extended obstacles in the half space with finite aperture elastic scattering data at a fixed frequency. We prove the resolution of the reconstruction…

Numerical Analysis · Mathematics 2019-07-24 Zhiming Chen , Shiqi Zhou

The relative roles of multiple electron scattering and in-molecule free-space propagation in transmission electron microscopy of small molecules are discussed. It is argued that while multiple scattering tends to have only a moderate effect…

Image and Video Processing · Electrical Eng. & Systems 2019-12-02 T. E. Gureyev , H. M. Quiney , A. Kozlov , L. J. Allen
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