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It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of dielectric constant on the frequency and fields gives rise to the…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Boris G. Konopelchenko , Antonio Moro

A novel interferometric method - SLIVER (Super Localization by Image inVERsion interferometry) - is proposed for estimating the separation of two incoherent point sources with a mean squared error that does not deteriorate as the sources…

Optics · Physics 2016-02-16 Ranjith Nair , Mankei Tsang

We present a novel, general-purpose method for deconvolving and denoising images from gridded radio interferometric visibilities using Bayesian inference based on a Gaussian process model. The method automatically takes into account…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 P. M. Sutter , Benjamin D. Wandelt , Jason D. McEwen , Emory F. Bunn , Ata Karakci , Andrei Korotkov , Peter Timbie , Gregory S. Tucker , Le Zhang

AIMS: We have found that the interferometric visibilities of VLTI-AMBER observations, extracted via the standard reduction package, are significantly biased when faint targets are concerned. The visibility biases derive from a time variable…

Astrophysics · Physics 2009-11-13 G. Li Causi , S. Antoniucci , E. Tatulli

In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite Element Method (GMsFEM), to reduce the computational…

Numerical Analysis · Mathematics 2023-07-19 Manal Alotaibi , Victor M. Calo , Yalchin Efendiev , Juan Galvis , Mehdi Ghommem

We present broadband group velocity dispersion (GVD) measurements of commercially available ultra-high numerical aperture fibers (UHNA1, UHNA3, UHNA4, UHNA7 and PM2000D from Coherent-Nufern). Although these fibers are attractive for…

Instrumentation and Detectors · Physics 2018-07-04 Piotr Ciąćka , Anupamaa Rampur , Alexander Heidt , Thomas Feurer , Mariusz Klimczak

In this paper, we provide the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to solve Helmholtz equations in heterogeneous medium. This novel multiscale method is specifically designed to overcome…

Numerical Analysis · Mathematics 2024-07-09 Xingguang Jin , Changqing Ye , Eric T. Chung

Hyperspectral image unmixing has proven to be a useful technique to interpret hyperspectral data, and is a prolific research topic in the community. Most of the approaches used to perform linear unmixing are based on convex geometry…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Lucas Drumetz , Jocelyn Chanussot , Christian Jutten , Wing-Kin Ma , Akira Iwasaki

It is of great significance to identify the nonhomogeneous distribution of material properties in human tissues for different clinical and medical applications. This leads to the requirement of solving an inverse problem in elasticity. The…

Medical Physics · Physics 2022-11-04 Jianwei Deng , Xu Guo , Yue Mei , Stephane Avril

We derive an analytic solution for the minimization problem in the geometric Baade-Wesselink method. This solution allows deriving the distance and mean radius of a pulsating star by fitting its velocity curve and angular diameter measured…

Astrophysics · Physics 2009-11-10 Massimo Marengo , Margarita Karovska , Dimitar D. Sasselov , Mayly Sanchez

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from Micro-CT images featuring intricate microstructures. The proposed method is guided by…

Machine Learning · Computer Science 2025-09-11 Yanran Wang , Jonghyuk Baek , Yichun Tang , Jing Du , Mike Hillman , J. S. Chen

Wireless localization of permanent magnets enables occlusion-free guidance for medical interventions, yet its practical accuracy is fundamentally limited by two coupled challenges: the poor observability of conventional planar sensor arrays…

Robotics · Computer Science 2026-04-27 Wenxuan Xie , Yuelin Zhang , Qingpeng Ding , Jianghua Chen , Jiewen Tan , Jiwei Shan , Shing Shin Cheng

We propose an interferometric scheme for the estimation of a linear combination with non-negative weights of an arbitrary number $M>1$ of unknown phase delays, distributed across an $M$-channel linear optical network, with…

Quantum Physics · Physics 2019-12-04 Dario Gatto , Paolo Facchi , Frank Narducci , Vincenzo Tamma

We propose a method for tailoring the frequency spectrum of bright squeezed vacuum by generating it in a nonlinear interferometer, consisting of two down-converting nonlinear crystals separated by a dispersive medium. Due to a faster…

Quantum Physics · Physics 2016-01-20 T. Sh. Iskhakov , S. Lemieux , A. Perez , R. W. Boyd , G. Leuchs , M. Chekhova

In this work, we focus on synthesizing high-fidelity novel view images for arbitrary human performers, given a set of sparse multi-view images. It is a challenging task due to the large variation among articulated body poses and heavy…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Jianchuan Chen , Wentao Yi , Liqian Ma , Xu Jia , Huchuan Lu

Non-invasive detection of objects embedded inside an optically scattering medium is essential for numerous applications in engineering and sciences. However, in most applications light at visible or near-infrared wavebands is scattered by…

Imaging the bio-impedance distribution of a biological sample can provide understandings about the sample's electrical properties which is an important indicator of physiological status. This paper presents a multi-frequency electromagnetic…

Applied Physics · Physics 2020-07-29 Jinxi Xiang , Zhou Chen , Yonggui Dong , Yunjie Yang

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

In this paper we propose methods for inference of the geometric features of a multivariate density. Our approach uses multiscale tests for the monotonicity of the density at arbitrary points in arbitrary directions. In particular, a…

Statistics Theory · Mathematics 2016-04-18 Konstantin Eckle , Nicolai Bissantz , Holger Dette , Katharina Proksch , Sabrina Einecke

We propose a novel method to fit and segment multi-structural data via convex relaxation. Unlike greedy methods --which maximise the number of inliers-- this approach efficiently searches for a soft assignment of points to models by…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Paul Amayo , Pedro Pinies , Lina M. Paz , Paul Newman