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相关论文: Full field inversion in photoacoustic tomography w…

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We consider image reconstruction in full-field photoacoustic tomography, where 2D projections of the full 3D acoustic pressure distribution at a given time T>0 are collected. We discuss existing results on the stability and uniqueness of…

数值分析 · 数学 2024-12-20 Markus Haltmeier , Gerhard Zangerl , Robert Nuster , Linh V. Nguyen

Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside the object. In the standard PAT measurement setup, the used…

偏微分方程分析 · 数学 2021-12-07 Linh V. Nguyen , Markus Haltmeier , Richard Kowar , Ngoc Do

Standard photoacoustic tomography (PAT) provides data that consist of time-dependent signals governed by the wave equation, which are measured on an observation surface. In contrast, the measured data from the recently invented full-field…

数值分析 · 数学 2024-06-10 Ngoc Do , Markus Haltmeier , Richard Kowar , Linh V. Nguyen , Robert Nuster

Photoacoustic tomography seeks to reconstruct an acoustic initial pressure distribution from the measurement of the ultrasound waveforms. Conventional methods assume a-prior knowledge of the sound speed distribution, which practically is…

图像与视频处理 · 电气工程与系统科学 2019-09-16 Hongming Shan , Christopher Wiedeman , Ge Wang , Yang Yang

A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of…

数值分析 · 数学 2009-12-06 G. Zangerl , O. Scherzer , M. Haltmeier

Image reconstruction in photoacoustic tomography relies on an accurate knowledge of the speed of sound in the target. However, the speed of sound distribution is not generally known, which may result in artefacts in the reconstructed…

医学物理 · 物理学 2025-11-06 Miika Suhonen , Felix Lucka , Aki Pulkkinen , Simon Arridge , Ben Cox , Tanja Tarvainen

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

偏微分方程分析 · 数学 2018-08-01 Ngoc Do , Leonid Kunyansky

Photo-acoustic tomography is a coupled-physics (hybrid) medical imaging modality that aims to reconstruct optical parameters in biological tissues from ultrasound measurements. As propagating light gets partially absorbed, the resulting…

偏微分方程分析 · 数学 2020-01-08 Guillaume Bal , Adrian Kirkeby

In this paper, we study the photoacoustic tomography problem for which we seek to recover both the initial state of the pressure field and the wave speed of the medium from the knowledge of a single boundary measurement. The goal is to…

偏微分方程分析 · 数学 2020-07-01 Sebastian Acosta

We consider the inverse source problem of thermo- and photoacoustic tomography, with data registered on an open surface partially surrounding the source of acoustic waves. Under the assumption of constant speed of sound we develop an…

偏微分方程分析 · 数学 2020-04-17 Mtthias Eller , Philip Hoskins , Leonid Kunyansky

In photoacoustic tomography (PAT), a hybrid imaging modality that is based on the acoustic detection of optical absorption from biological tissue exposed to a pulsed laser, a short pulse laser generates an initial pressure proportional to…

数值分析 · 数学 2026-03-27 Sunghwan Moon , Anwesa Dey , Souvik Roy

The standard approach for photoacoustic imaging with variable speed of sound is time reversal, which consists in solving a well-posed final-boundary value problem for the wave equation backwards in time. This paper investigates the…

最优化与控制 · 数学 2016-03-17 Zakaria Belhachmi , Thomas Glatz , Otmar Scherzer

In most photoacoustic (PA) measurements, variations in speed-of-sound (SOS) of the subject are neglected under the assumption of acoustic homogeneity. Biological tissue with spatially heterogeneous SOS cannot be accurately reconstructed…

Photoacoustic image reconstruction often assumes that the restriction of the acoustic pressure on the detection surface is given. However, commonly used detectors often have a certain directivity and frequency dependence, in which case the…

数值分析 · 数学 2020-01-08 Gerhard Zangerl , Sunghwan Moon , Markus Haltmeier

The problem of image reconstruction in thermoacoustic tomography requires inversion of a generalized Radon transform, which integrates the unknown function over circles in 2D or spheres in 3D. The paper investigates implementation of the…

数值分析 · 数学 2007-05-23 Gaik Ambartsoumian , Sarah K. Patch

Photoacoustic imaging (PAI) uniquely combines the advantages of optical contrast with deep tissue penetration capability of acoustic waves, enabling imaging at depths of several centimeters. Conventional photoacoustic imaging methods have…

应用物理 · 物理学 2026-02-24 Xingchi Yan , Siyuan Song , Hanxun Jin

The attenuation of ultrasound waves in photoacoustic and thermoacoustic imaging presents an important drawback in the applicability of these modalities. This issue has been addressed previously in the applied and theoretical literature, and…

偏微分方程分析 · 数学 2021-09-15 Benjamin Palacios

Quantitative photoacoustic tomography is an emerging imaging technique aimed at estimating the distribution of optical parameters inside tissues from photoacoustic images, which are formed by combining optical information and ultrasonic…

数值分析 · 数学 2016-06-02 Antti Hannukainen , Nuutti Hyvönen , Helle Majander , Tanja Tarvainen

Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is an emerging imaging technique that holds great promise for biomedical imaging. PACT is a hybrid imaging method that can exploit the strong endogenous…

医学物理 · 物理学 2019-05-13 Joemini Poudel , Yang Lou , Mark A. Anastasio

Practical applications of thermoacoustic tomography require numerical inversion of the spherical mean Radon transform with the centers of integration spheres occupying an open surface. Solution of this problem is needed (both in 2-D and…

偏微分方程分析 · 数学 2009-11-13 Leonid Kunyansky
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