scholarly journals Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed

2017 ◽  
Vol 10 (2) ◽  
pp. 751-781 ◽  
Author(s):  
Markus Haltmeier ◽  
Linh V. Nguyen
Keyword(s):  
Iterative Methods ◽  
Sound Speed ◽  
Photoacoustic Tomography

An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed

2011 ◽  
Vol 4 (3) ◽  
pp. 850-883 ◽  
Author(s):  
Jianliang Qian ◽  
Plamen Stefanov ◽  
Gunther Uhlmann ◽  
Hongkai Zhao
Keyword(s):  
Sound Speed ◽  
Neumann Series ◽  
Photoacoustic Tomography

scholarly journals A direct method for photoacoustic tomography with inhomogeneous sound speed

2016 ◽  
Vol 32 (4) ◽  
pp. 045005 ◽  
Author(s):  
Zakaria Belhachmi ◽  
Thomas Glatz ◽  
Otmar Scherzer
Keyword(s):  
Sound Speed ◽  
Direct Method ◽  
Photoacoustic Tomography ◽  
A Direct Method

scholarly journals Iterative methods for photoacoustic tomography in attenuating acoustic media

2017 ◽  
Vol 33 (11) ◽  
pp. 115009 ◽  
Author(s):  
Markus Haltmeier ◽  
Richard Kowar ◽  
Linh V Nguyen
Keyword(s):  
Iterative Methods ◽  
Photoacoustic Tomography ◽  
Acoustic Media

scholarly journals Full Field Inversion in Photoacoustic Tomography with Variable Sound Speed

2019 ◽  
Vol 9 (8) ◽  
pp. 1563 ◽  
Author(s):  
Gerhard Zangerl ◽  
Markus Haltmeier ◽  
Linh V. Nguyen ◽  
Robert Nuster
Keyword(s):  
Pressure Distribution ◽  
Speed Of Sound ◽  
Sound Speed ◽  
Photoacoustic Tomography ◽  
Reconstruction Method ◽  
Inversion Problem ◽  
Final Time ◽  
Full Field ◽  
Field Detection ◽  
Wave Inversion

To accelerate photoacoustic data acquisition, in [R. Nuster, G. Zangerl, M. Haltmeier, G. Paltauf (2010). Full field detection in photoacoustic tomography. Optics express, 18(6), 6288–6299] a novel measurement and reconstruction approach has been proposed, where the measured data consist of projections of the full 3D acoustic pressure distribution at a certain time instant T. Existing reconstruction algorithms for this kind of setup assume a constant speed of sound. This assumption is not always met in practice and thus can lead to erroneous reconstructions. In this paper, we present a two-step reconstruction method for full field detection photoacoustic tomography that takes variable speed of sound into account. In the first step, by applying the inverse Radon transform, the pressure distribution at the measurement time is reconstructed point-wise from the projection data. In the second step, a final time wave inversion problem is solved where the initial pressure distribution is recovered from the known pressure distribution at time T. We derive an iterative solution approach for the final time wave inversion problem and compute the required adjoint operator. Moreover, as the main result of this paper, we derive its uniqueness and stability. Our numerical results demonstrate that the proposed reconstruction scheme is fast and stable, and that ignoring sound speed variations significantly degrades the reconstruction.

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