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We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype model for our study. There exists a wealth of reconstruction…

偏微分方程分析 · 数学 2020-01-08 Hongyu Liu , Xiaodong Liu , Xianchao Wang , Yuliang Wang

Electro-seismic imaging is a novel hybrid imaging modality in geophysical exploration. This paper concerns an inverse source problem for Biot's equations that arise in electro-seismic imaging. Using the time reversal method, we derive an…

偏微分方程分析 · 数学 2019-09-04 Yixian Gao , Peijun Li , Yang Yang

Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using the complex Green's tensor of the elastic wave equation, we utilize the Helmholtz decomposition to convert…

数值分析 · 数学 2020-08-17 Jun Lai , Peijun Li

Time-resolved spectroscopy provides the main tool for analyzing the dynamics of excitonic energy transfer in light-harvesting complexes. To infer time-scales and effective coupling parameters from experimental data requires to develop…

化学物理 · 物理学 2018-11-28 Tobias Kramer , Mirta Rodriguez , Yaroslav Zelinskyy

In time reversal acoustics experiments, a signal is emitted from a localized source, recorded at an array of receivers-transducers, time reversed, and finally re-emitted into the medium. A celebrated feature of time reversal experiments is…

混沌动力学 · 物理学 2007-05-23 Guillaume Bal , Leonid Ryzhik

This letter extends the concept of graph-frequency to graph signals that evolve with time. Our goal is to generalize and, in fact, unify the familiar concepts from time- and graph-frequency analysis. To this end, we study a joint temporal…

机器学习 · 计算机科学 2016-02-17 Andreas Loukas , Damien Foucard

We present a robust method to correct for motion and deformations for in-utero volumetric MRI time series. Spatio-temporal analysis of dynamic MRI requires robust alignment across time in the presence of substantial and unpredictable…

计算机视觉与模式识别 · 计算机科学 2016-08-16 Ruizhi Liao , Esra Turk , Miaomiao Zhang , Jie Luo , Ellen Grant , Elfar Adalsteinsson , Polina Golland

Full-waveform inversion (FWI) is a powerful technique for reconstructing high-resolution material parameters from seismic or ultrasound data. The conventional least-squares (\(L^{2}\)) misfit suffers from pronounced non-convexity that leads…

最优化与控制 · 数学 2025-08-26 Matej Neumann , Yunan Yang

In this paper, we study the truncated matrix moment problem in one variable through recursive matrix extensions. \ We give necessary and sufficient conditions for a recursive matrix extension of finite data to be a matrix moment sequence in…

泛函分析 · 数学 2024-01-02 R. Curto , A. Ech-charyfy , K. Idrissi , E. H. Zerouali

We propose a natural way to generalize relative transfer functions (RTFs) to more than one source. We first prove that such a generalization is not possible using a single multichannel spectro-temporal observation, regardless of the number…

声音 · 计算机科学 2015-07-02 Antoine Deleforge , Sharon Gannot , Walter Kellermann

We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high time-harmonic frequency. Increasing stability bounds for the conductivity coefficient in the full Maxwell system…

偏微分方程分析 · 数学 2022-02-09 Victor Isakov , Shuai Lu , Boxi Xu

We derive expressions for the electromagnetic Green's function for a layered system using a transfer matrix technique. The expressions we arrive at makes it possible to study symmetry properties of the Green's function, such as reciprocity…

介观与纳米尺度物理 · 物理学 2011-05-09 Peter Johansson

Real-time classification of Electromyography signals is the most challenging part of controlling a prosthetic hand. Achieving a high classification accuracy of EMG signals in a short delay time is still challenging. Recurrent neural…

信号处理 · 电气工程与系统科学 2021-09-14 Reza Bagherian Azhiri , Mohammad Esmaeili , Mehrdad Nourani

We study the mathematical model of multiwave tomography including thermo and photoacoustic tomography with a variable speed for a fixed time interval $[0,T]$. We assume that the waves reflect from the boundary of the domain. We propose an…

偏微分方程分析 · 数学 2015-06-11 Plamen Stefanov , Yang Yang

Imaging of scenes using light or other wave phenomena is subject to the diffraction limit. The spatial profile of a wave propagating between a scene and the imaging system is distorted by diffraction resulting in a loss of resolution that…

图像与视频处理 · 电气工程与系统科学 2020-07-20 Ji Hyun Nam , Andreas Velten

The fine timing measurement (FTM) protocol is designed to determine precise ranging between Wi-Fi devices using round-trip time (RTT) measurements. However, the multipath propagation of radio waves generates inaccurate timing information,…

网络与互联网体系结构 · 计算机科学 2021-12-30 Jeongsik Choi

This paper gives a remark on the Enclosure Method by considering inverse obstacle scattering problems with a single incident wave whose governing equation is given by the Helmholtz equation in two dimensions. It is concerned with the…

偏微分方程分析 · 数学 2011-09-21 Masaru Ikehata

We describe a new algorithm to solve the time dependent, frequency integrated radiation transport (RT) equation implicitly, which is coupled to an explicit solver for equations of magnetohydrodynamics (MHD) using {\sf Athena++}. The…

天体物理仪器与方法 · 物理学 2021-04-07 Yan-Fei Jiang

Time-resolved MR angiography (tMRA) has been widely used for dynamic contrast enhanced MRI (DCE-MRI) due to its highly accelerated acquisition. In tMRA, the periphery of the k-space data are sparsely sampled so that neighbouring frames can…

图像与视频处理 · 电气工程与系统科学 2020-03-31 Eunju Cha , Hyungjin Chung , Eung Yeop Kim , Jong Chul Ye

We study the capabilities of time-modulated diffraction gratings as imaging devices. It is shown that a time-dependent but transversally homogeneous slab can be used to make a perfect image of an object in the far-field, since all the…

光学 · 物理学 2022-04-05 Pawel Packo , Dani Torrent
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