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J. Imaging 2018, 4(12), 148; https://doi.org/10.3390/jimaging4120148

Image Reconstruction with Reliability Assessment in Quantitative Photoacoustic Tomography

1
Department of Applied Physics, University of Eastern Finland, P.O. Box 1627, 70211 Kuopio, Finland
2
Department of Computer Science, University College London, Gower Street, London WC1E 6BT, UK
*
Author to whom correspondence should be addressed.
Received: 30 October 2018 / Revised: 5 December 2018 / Accepted: 8 December 2018 / Published: 11 December 2018
(This article belongs to the Special Issue Biomedical Photoacoustic Imaging: Technologies and Methods)
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Abstract

Quantitative photoacoustic tomography is a novel imaging method which aims to reconstruct optical parameters of an imaged target based on initial pressure distribution, which can be obtained from ultrasound measurements. In this paper, a method for reconstructing the optical parameters in a Bayesian framework is presented. In addition, evaluating the credibility of the estimates is studied. Furthermore, a Bayesian approximation error method is utilized to compensate the modeling errors caused by coarse discretization of the forward model. The reconstruction method and the reliability of the credibility estimates are investigated with two-dimensional numerical simulations. The results suggest that the Bayesian approach can be used to obtain accurate estimates of the optical parameters and the credibility estimates of these parameters. Furthermore, the Bayesian approximation error method can be used to compensate for the modeling errors caused by a coarse discretization, which can be used to reduce the computational costs of the reconstruction procedure. In addition, taking the modeling errors into account can increase the reliability of the credibility estimates. View Full-Text
Keywords: quantitative photoacoustic tomography; inverse problems; model reduction; Bayesian methods; reliability assessment; uncertainty quantification quantitative photoacoustic tomography; inverse problems; model reduction; Bayesian methods; reliability assessment; uncertainty quantification
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Hänninen, N.; Pulkkinen, A.; Tarvainen, T. Image Reconstruction with Reliability Assessment in Quantitative Photoacoustic Tomography. J. Imaging 2018, 4, 148.

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