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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

This work is concerned with uncertainty quantification problems for image reconstructions in quantitative photoacoustic imaging (PAT), a recent hybrid imaging modality that utilizes the photoacoustic effect to achieve high-resolution…

数值分析 · 数学 2018-12-10 Kui Ren , Sarah Vallélian

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

Quantitative photo-acoustic tomography (QPAT) seeks to reconstruct a distribution of optical attenuation coefficients inside a sample from a set of time series of pressure data that is measured outside the sample. The associated inverse…

最优化与控制 · 数学 2019-09-04 Ashkan Javaherian , Sean Holman

Photoacoustic tomography (PAT) is a newly developed medical imaging modality, which combines the advantages of pure optical imaging and ultrasound imaging, owning both high optical contrast and deep penetration depth. Very recently, PAT is…

医学物理 · 物理学 2021-09-21 Tengbo Lyu , Jiadong Zhang , Zijian Gao , Changchun Yang , Feng Gao , Fei Gao

Photoacoustic computed tomography (PACT) is an emerging computed imaging modality that exploits optical contrast and ultrasonic detection principles to form images of the absorbed optical energy density within tissue. If the object…

医学物理 · 物理学 2017-09-08 Joemini Poudel , Thomas P. Matthews , Lei Li , Mark A. Anastasio , Lihong V. Wang

Photoacoustic tomography (PAT) is a nonionizing imaging modality capable of acquiring high contrast and resolution images of optical absorption at depths greater than traditional optical imaging techniques. Practical considerations with…

图像与视频处理 · 电气工程与系统科学 2020-06-30 Steven Guan , Amir A. Khan , Siddhartha Sikdar , Parag V. Chitnis

The paper contains a simple approach to reconstruction in Thermoacoustic and Photoacoustic Tomography. The technique works for any geometry of point detectors placement and for variable sound speed satisfying a non-trapping condition. A…

数值分析 · 数学 2009-11-13 Mark Agranovsky , Peter Kuchment

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

Thermoacoustic tomography (TAT) is an imaging modality based on the thermoacoustic effect. In TAT, a short microwave or radio wave pulse is directed to the imaged target. The energy of the electromagnetic pulse is absorbed depending on the…

计算物理 · 物理学 2025-11-11 Teemu Sahlström , 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

Optoacoustic tomography (OAT), also known as photoacoustic tomography, is an emerging computed biomedical imaging modality that exploits optical contrast and ultrasonic detection principles. Iterative image reconstruction algorithms that…

医学物理 · 物理学 2016-11-17 Kun Wang , Robert W Schoonover , Richard Su , Alexander Oraevsky , Mark A Anastasio

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

Photo-acoustic tomography is a newly developed hybrid imaging modality that combines a high-resolution modality with a high-contrast modality. We analyze the reconstruction of diffusion and absorption parameters in an elliptic equation and…

偏微分方程分析 · 数学 2015-06-04 Jie Chen , Yang Yang

Recently, a novel measurement setup has been introduced to photoacoustic tomography, that collects data in the form of projections of the full 3D acoustic pressure distribution at a certain time instant. Existing imaging algorithms for this…

数值分析 · 数学 2018-08-03 Gerhard Zangerl , Markus Haltmeier , Linh V. Nguyen , Robert Nuster

We consider the problem of thermoacoustic tomography (TAT), in which one needs to reconstruct the initial value of a solution of the wave equation from its value on an observation surface. We show that if some geometric rays for the…

偏微分方程分析 · 数学 2009-12-15 Linh V. Nguyen

We propose a model-based image reconstruction method for photoacoustic tomography(PAT) involving a novel form of regularization and demonstrate its ability to recover good quality images from significantly reduced size datasets. The…

图像与视频处理 · 电气工程与系统科学 2020-12-29 Nadaparambil Aravindakshan Rejesh , Sandeep Kumar Kalva , Manojit Pramanik , Muthuvel Arigovindan

Two-photon absorption photoacoustic tomography (TP-PAT) is a recent hybrid imaging modality that aims at reconstructing two-photon absorption properties of heterogeneous media from measured ultrasound signals generated by the photoacoustic…

医学物理 · 物理学 2018-03-14 Patrick Bardsley , Kui Ren , Rongting Zhang

Imaging the human body's morphological and angiographic information is essential for diagnosing, monitoring, and treating medical conditions. Ultrasonography performs the morphological assessment of the soft tissue based on acoustic…

We analyse the ill-posedness of the photoacoustic imaging problem in the case of an attenuating medium. To this end, we introduce an attenuated photoacoustic operator and determine the asymptotic behaviour of its singular values. Dividing…

泛函分析 · 数学 2016-11-18 Peter Elbau , Otmar Scherzer , Cong Shi