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Tightly focused optical fields are essential in nano-optics, but their applications have been limited by the challenges of accurate yet efficient characterization. In this article, we develop an in situ method for reconstructing the fully…

Optics · Physics 2024-08-28 Xin Liu , Shijie Tu , Yiwen Hu , Yifan Peng , Yubing Han , Cuifang Kuang , Xu Liu , Xiang Hao

Current object detection approaches predict bounding boxes, but these provide little instance-specific information beyond location, scale and aspect ratio. In this work, we propose to directly regress to objects' shapes in addition to their…

Computer Vision and Pattern Recognition · Computer Science 2017-07-06 Saumya Jetley , Michael Sapienza , Stuart Golodetz , Philip H. S. Torr

This paper considers the problem of solving systems of quadratic equations, namely, recovering an object of interest $\mathbf{x}^{\natural}\in\mathbb{R}^{n}$ from $m$ quadratic equations/samples…

Machine Learning · Statistics 2019-06-13 Yuxin Chen , Yuejie Chi , Jianqing Fan , Cong Ma

Today, image denoising by thresholding of wavelet coefficients is a commonly used tool for 2D image enhancement. Since the data product of spectroscopic imaging surveys has two spatial and one spectral dimension, the techniques for…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Lars Flöer , Benjamin Winkel

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

A method is described for the reconstruction of the amplitude and phase of the object exit wave function by phase-plate transmission electron microscopy. The proposed method can be considered as in-line holography and requires three images,…

Materials Science · Physics 2017-05-24 B. Gamm , M. Dries , K. Schultheiss , H. Blank , A. Rosenauer , R. R. Schröder , D. Gerthsen

We present an optical wavefront shaping approach that allows tracking and localization of signal hidden inside or behind a scattering medium. The method combines traditional feedback based wavefront shaping together with a switch function,…

We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection.…

Computational Physics · Physics 2015-06-12 Mehdi Ghommem , Victor M. Calo , Yalchin Efendiev

Stochastic gradient methods are the workhorse (algorithms) of large-scale optimization problems in machine learning, signal processing, and other computational sciences and engineering. This paper studies Markov chain gradient descent, a…

Optimization and Control · Mathematics 2018-09-13 Tao Sun , Yuejiao Sun , Wotao Yin

We introduce a simple and effective method for retrieval of videos showing a specific event, even when the videos of that event were captured from significantly different viewpoints. Appearance-based methods fail in such cases, as…

Computer Vision and Pattern Recognition · Computer Science 2017-01-05 Gil Ben-Artzi , Michael Werman , Shmuel Peleg

We present a physically intuitive matrix approach for wave imaging and characterization in scattering media. The experimental proof-of-concept is performed with ultrasonic waves, but this approach can be applied to any field of wave physics…

Applied Physics · Physics 2020-07-01 William Lambert , Laura A. Cobus , Mathieu Couade , Mathias Fink , Alexandre Aubry

Variational ab-initio methods in quantum chemistry stand out among other methods in providing direct access to the wave function. This allows in principle straightforward extraction of any other observable of interest, besides the energy,…

Directional wave speeds variations in anisotropic elastic solids enables material characterisation capabilities, such as determination of elastic constants and volumetric measurement of crystallographic texture. However, achieving such…

Applied Physics · Physics 2024-08-19 Melody Png , Ming Huang , Marzieh Bahreman , Christopher M. Kube , Michael J. S. Lowe , Bo Lan

Marine Controlled Source Electromagnetic (CSEM) is employed both in large-scale geophysical applications as well as within exploration of hydrocarbons and gas hydrates. Due to the diffusive character of the EM field only very low…

Geophysics · Physics 2022-11-08 Feng-Ping Li , Vemund Stenbekk Thorkildsen , Leiv-J Gelius , Jian-Hua Yue

Time-lapse seismic monitoring aims at resolving changes in a producing reservoir from changes in the reflection response. When the changes in the reservoir are very small, the changes in the seismic response can become too small to be…

Geophysics · Physics 2020-03-25 Kees Wapenaar , John van IJsseldijk

Superluminal phenomena have been reported in many experiments of electromagnetic wave propagation, where the superluminal behaviors of evanescent waves are the most interesting ones with the important physical significances. Consider that…

Optics · Physics 2007-05-23 Z. Y. Wang , C. D. Xiong

This paper introduces a multi-frequency factorization method for imaging a time-dependent source, specifically to recover its spatial support and the associated excitation instants. Using far-field data from two opposite directions, we…

Numerical Analysis · Mathematics 2026-04-28 Guanqiu Ma , Hongxia Guo , Guanghui Hu

We present a solution method for the integrable system (derivative nonlinear Schr\"odinger II system) or the Chen--Lee--Liu system. This is done by presenting a solution technique for the inverse scattering problem for the corresponding…

Exactly Solvable and Integrable Systems · Physics 2025-07-30 Mehmet Unlu

Object detection in astronomical images, generically referred to as source finding, is often performed before the object characterisation stage in astrophysical processing work flows. In radio astronomy, source finding has historically been…

Instrumentation and Methods for Astrophysics · Physics 2019-01-16 Luis Lucas , Tim Staley , Anna Scaife

To effectively retrieve objects from large corpus with high accuracy is a challenge task. In this paper, we propose a method that propagates visual feature level similarities on a Markov random field (MRF) to obtain a high level…

Computer Vision and Pattern Recognition · Computer Science 2013-12-30 Peng Lu , Xujun Peng , Xinshan Zhu , Xiaojie Wang