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相关论文: Inverse Transport Theory of Photoacoustics

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Motivated by applications in imaging nonlinear optical absorption by photoacoustic tomography (PAT), we study in this work inverse coefficient problems for a semilinear radiative transport equation and its diffusion approximation with…

偏微分方程分析 · 数学 2021-07-20 Ru-Yu Lai , Kui Ren , Ting Zhou

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

Photo-acoustic tomography (PAT) aims to leverage the photo-acoustic coupling between optical absorption of light sources and ultrasound (US) emission to obtain high contrast reconstructions of optical parameters with the high resolution of…

偏微分方程分析 · 数学 2016-09-21 Guillaume Bal , Amir Moradifam

The photoacoustic tomography (PAT) is a hybrid modality that combines the optics and acoustics to obtain high resolution and high contrast imaging of heterogeneous media. In this work, our objective is to study the inverse problem in the…

数值分析 · 数学 2021-05-26 Hongkai Zhao , Yimin Zhong

Fluorescence photoacoustic tomography (fPAT) is a molecular imaging modality that combines photoacoustic tomography (PAT) with fluorescence imaging to obtain high-resolution imaging of fluorescence distributions inside heterogeneous media.…

偏微分方程分析 · 数学 2019-09-27 Kui Ren , Rongting Zhang , Yimin Zhong

The objective of quantitative photoacoustic tomography (QPAT) is to reconstruct optical and thermodynamic properties of heterogeneous media from data of absorbed energy distribution inside the media. There have been extensive theoretical…

医学物理 · 物理学 2019-10-08 Alexander V. Mamonov , Kui Ren

This paper analyzes the reconstruction of diffusion and absorption parameters in an elliptic equation from knowledge of internal data. In the application of photo-acoustics, the internal data are the amount of thermal energy deposited by…

偏微分方程分析 · 数学 2015-05-14 Guillaume Bal , Gunther Uhlmann

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

Optical coherence tomography (OCT) and photoacoustic tomography (PAT) are emerging non-invasive biological and medical imaging techniques. It is a recent trend in experimental science to design experiments that perform PAT and OCT imaging…

偏微分方程分析 · 数学 2016-04-19 Peter Elbau , Leonidas Mindrinos , Otmar Scherzer

We study the inverse source problem in photoacoustic tomography (PAT) for mixed data, which denote a weighted linear combination of the acoustic pressure and its normal derivative on an observation surface. We consider in particular the…

偏微分方程分析 · 数学 2022-07-06 Florian Dreier , Markus Haltmeier

In a medium where the dielectric permittivity is perturbed in the presence of an acoustic wave, optical scattering generates frequency-shifted light. In this paper we consider the inverse problem of recovering the optical properties of this…

偏微分方程分析 · 数学 2019-10-14 Francis J. Chung , Jeremy G. Hoskins , John C. Schotland

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

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

We consider the inverse problem of recovering the optical properties of a highly-scattering medium from acousto-optic measurements. Using such measurements, we show that the scattering and absorption coefficients of the radiative transport…

偏微分方程分析 · 数学 2016-09-27 Francis J Chung , John C Schotland

Photoacoustic tomography (PAT) is a rapidly-evolving medical imaging modality that combines optical absorption contrast with ultrasound imaging depth. One challenge in PAT is image reconstruction with inadequate acoustic signals due to…

Photoacoustic tomography (PAT) is an emerging imaging modality that aims at measuring the high-contrast optical properties of tissues by means of high-resolution ultrasonic measurements. The interaction between these two types of waves is…

偏微分方程分析 · 数学 2021-07-27 Giovanni S. Alberti , Paolo Campodonico , Matteo Santacesaria

Two-photon photoacoustic tomography (TP-PAT) is a non-invasive optical molecular imaging modality that aims at inferring two-photon absorption property of heterogeneous media from photoacoustic measurements. In this work, we analyze an…

偏微分方程分析 · 数学 2017-05-01 Kui Ren , Rongting Zhang

Photoacoustic tomography (PAT) is a hybrid medical imaging technique that offer high contrast and a high spatial resolution. One challenging mathematical problem associated with PAT is reconstructing the initial pressure of the wave…

数值分析 · 数学 2024-07-16 Gyeongha Hwang , Gihyeon Jeon , Sunghwan Moon , Dabin Park

This paper concerns the reconstruction of the scattering coefficient in a two-dimensional transport equation from angularly averaged measurements when the probing source is isotropic and time-harmonic. This is a practical setting in the…

偏微分方程分析 · 数学 2011-10-17 Guillaume Bal , Francois Monard

Photoacoustic tomography is an emerging medical imaging technology whose primary aim is to map the high-contrast optical properties of biological tissues by leveraging high-resolution ultrasound measurements. Mathematically, this can be…

偏微分方程分析 · 数学 2025-02-14 Alessandro Felisi
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