Reconstruction for multi-wave imaging in attenuating media with large damping coefficient

Palacios, Benjamin

doi:10.1088/0266-5611/32/12/125008

Cited by 18 publications

(29 citation statements)

References 20 publications

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“…A different class of algorithms extends the time reversal technique to the attenuated case (see [1,3,10,31,35,40,59,72]). Note that the time reversal of the attenuated wave equation yields a noise amplifying equation.…”

Section: Comparison To Previous and Related Workmentioning

confidence: 99%

Iterative methods for photoacoustic tomography in attenuating acoustic media

2017

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The development of efficient and accurate reconstruction methods is an important aspect of tomographic imaging. In this article, we address this issue for photoacoustic tomography. To this aim, we use models for acoustic wave propagation accounting for frequency dependent attenuation according to a wide class of attenuation laws that may include memory. We formulate the inverse problem of photoacoustic tomography in attenuating medium as an illposed operator equation in a Hilbert space framework that is tackled by iterative regularization methods. Our approach comes with a clear convergence analysis. For that purpose we derive explicit expressions for the adjoint problem that can efficiently be implemented. In contrast to time reversal, the employed adjoint wave equation is again damping and, thus has a stable solution. This stability property can be clearly seen in our numerical results. Moreover, the presented numerical results clearly demonstrate the efficiency and accuracy of the derived iterative reconstruction algorithms in various situations including the limited view case.

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Section: Comparison To Previous and Related Workmentioning

confidence: 99%

Iterative methods for photoacoustic tomography in attenuating acoustic media

2017

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“…We note that for standard PAT, the idea of using time-reversal was proposed in [9,7] for the case of constant sound speed, and in [10,15] for non-constant sound speed. The Neumann series solution was first proposed in [31] and further developed in [31,32,35,14,33,25,29,18,1]. Iterative reconstruction methods for variable sound speed based on an adjoint wave equation have been studied in [16,5,3,11,17].…”

Section: Neumann Series Solutionmentioning

confidence: 99%

Analysis for Full Field Photoacoustic Tomography with Variable Sound Speed

Nguyen¹,

Haltmeier²,

Kowar³

et al. 2021

Preprint

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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 data consist of time-dependent signals measured on an observation surface. In contrast, the measured data from the recently invented full-field detection technique 1

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“…As the initial ultrasound pressure is approximately proportional to the optical fluence, it is sufficient to reconstruct the initial pressure from the recorded ultrasound signals. Conventional reconstructive schemes, such as back-projection based methods [4,5,6,7,8,9,10,11] and time-reversal based methods [12,13,14,15,16,17,18,19,20,21,22,23,24], typically assume the sound speed is precisely known. This assumption however is not always fulfilled, and the precise sound speed distribution is often unknown.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous reconstruction of the initial pressure and sound speed in photoacoustic tomography using a deep-learning approach

Shan

Wiedeman

Wang

et al. 2019

Novel Optical Systems, Methods, and Applications XXII

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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 unknown. One way to circumvent the issue is to simultaneously reconstruct both the acoustic initial pressure and speed. In this article, we develop a novel data-driven method that integrates an advanced deep neural network through model-based iteration. The image of the initial pressure is significantly improved in our numerical simulation.

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Reconstruction for multi-wave imaging in attenuating media with large damping coefficient

Cited by 18 publications

References 20 publications

Iterative methods for photoacoustic tomography in attenuating acoustic media

Iterative methods for photoacoustic tomography in attenuating acoustic media

Analysis for Full Field Photoacoustic Tomography with Variable Sound Speed

Simultaneous reconstruction of the initial pressure and sound speed in photoacoustic tomography using a deep-learning approach

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