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Despite its wide use in medicine, ultrasound imaging faces several challenges related to its poor signal-to-noise ratio and several sources of noise and artefacts. Enhancing ultrasound image quality involves balancing concurrent factors…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Yuxin Zhang , Clément Huneau , Jérôme Idier , Diana Mateus

We consider the inverse acoustic obstacle problem for sound-soft star-shaped obstacles in two dimensions wherein the boundary of the obstacle is determined from measurements of the scattered field at a collection of receivers outside the…

数值分析 · 数学 2023-08-04 Mo Zhou , Jiequn Han , Manas Rachh , Carlos Borges

This paper addresses the inverse obstacle scattering problem of simultaneously reconstructing the obstacle geometry and boundary conditions from multi-frequency near-field backscattering data. We first establish rigorous high-frequency…

偏微分方程分析 · 数学 2026-04-14 Jialei Li , Xiaodong Liu

This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known dictionary data for the nearly incompressible materials. The…

偏微分方程分析 · 数学 2017-11-02 Li Jingzhi , Liu Hongyu , Sun Hongpeng

This paper is concerned with the inverse problem of reconstructing an inhomogeneous medium from the acoustic far-field data at a fixed frequency in two dimensions. This inverse problem is severely ill-posed (and also strongly nonlinear),…

数值分析 · 数学 2023-09-21 Kai Li , Bo Zhang , Haiwen Zhang

We describe a fast, stable algorithm for the solution of the inverse acoustic scattering problem in two dimensions. Given full aperture far field measurements of the scattered field for multiple angles of incidence, we use Chen's method of…

数值分析 · 数学 2016-08-25 Carlos Borges , Adrianna Gillman , Leslie Greengard

We propose a new compressive imaging method for reconstructing 2D or 3D objects from their scattered wave-field measurements. Our method relies on a novel, nonlinear measurement model that can account for the multiple scattering phenomenon,…

计算机视觉与模式识别 · 计算机科学 2016-10-07 Hsiou-Yuan Liu , Ulugbek S. Kamilov , Dehong Liu , Hassan Mansour , Petros T. Boufounos

Inverse scattering is the process of estimating the spatial distribution of the scattering potential of an object by measuring the scattered wavefields around it. In this paper, we consider reflection tomography of high contrast objects…

信号处理 · 电气工程与系统科学 2020-12-17 Ajinkya Kadu , Hassan Mansour , Petros T. Boufounos

Sound reconstruction via arbitrary objects has been a popular method in recent years, based on the recording of scattered light from the target object with a high-speed detector. In this work, we demonstrate the use of multi-mode fiber as a…

仪器与探测器 · 物理学 2024-05-06 Ege Küçükkömürcü , Berk Nezir Gün , Emre Yüce

The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. The goal of the inversion is to determine from these…

数值分析 · 数学 2018-06-18 Liliana Borcea , Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

In this paper we present a hybrid approach to numerically solve two-dimensional electromagnetic inverse scattering problems, whereby the unknown scatterer is hosted by a possibly inhomogeneous background. The approach is `hybrid' in that it…

偏微分方程分析 · 数学 2012-10-22 G. Giorgi , M. Brignone , R. Aramini , M. Piana

The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (probes). For a penetrable object with known sound speed, this…

数值分析 · 数学 2023-02-15 Carlos Borges , Manas Rachh , Leslie Greengard

In this paper we consider the problem of acoustic inversion in the context of the optoacoustic tomography image reconstruction problem. By leveraging the ability of the recently proposed diffusion models for image generative tasks among…

图像与视频处理 · 电气工程与系统科学 2024-04-17 M. G. González , M. Vera , A. Dreszman , L. J. Rey Vega

We study the uniqueness and accuracy of the numerical solution of the problem of reconstruction of the shape and trajectory of a reflecting obstacle moving in an inhomogeneous medium from travel times, start and end points, and initial…

数据结构与算法 · 计算机科学 2014-01-17 Kamen M. Lozev

In this article, we study several reconstruction methods for the inverse source problem of photoacoustic tomography (PAT) with spatially variable sound speed and damping. The backbone of these methods is the adjoint operators, which we…

偏微分方程分析 · 数学 2018-08-21 Linh V. Nguyen , Markus Haltmeier

Quick simulations for iterative evaluations of multi-design variables and boundary conditions are essential to find the optimal acoustic conditions in building design. We propose to use the reduced basis method (RBM) for realistic room…

计算工程、金融与科学 · 计算机科学 2023-02-01 Hermes Sampedro Llopis , Cheol-Ho Jeong , Allan P. Engsig-Karup

Time harmonic inverse scattering using accurate forward models is often computationally expensive. On the other hand, the use of computationally efficient solvers, such as the Born approximation, may fail if the targets do not satisfy the…

计算物理 · 物理学 2019-07-05 Jari P. Kaipio , Tomi Huttunen , Teemu Luostari , Timo Lähivaara , Peter B. Monk

Optoacoustic image formation is conventionally based upon ultrasound time-of-flight readings from multiple detection positions. Herein, we exploit acoustic scattering to physically encode the position of optical absorbers in the acquired…

生物物理 · 物理学 2019-10-30 Xose Luis Dean-Ben , Ali Ozbek , Hernan Lopez-Schier , Daniel Razansky

This paper concerns the reconstruction of multiple elastic parameters (Lam\'e parameters and density) of an inhomogeneous medium embedded in an infinite homogeneous isotropic background in $\mathbb{R}^2$. The direct scattering problem is…

数值分析 · 数学 2019-02-13 Gang Bao , Tao Yin , Fang Zeng

This paper investigates the inverse biharmonic scattering problems of identifying the shape and location of the obstacle with phased and phaseless measurement data. A direct imaging method based on reverse time migration is proposed for…

偏微分方程分析 · 数学 2026-05-12 Tielei Zhu , Zhihao Ge