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Parameterized Joint Reconstruction of the Initial Pressure and Sound Speed Distributions for Photoacoustic Computed Tomography

Matthews, Thomas P. and Poudel, Joemini and Li, Lei and Wang, Lihong V. and Anastasio, Mark A. (2018) Parameterized Joint Reconstruction of the Initial Pressure and Sound Speed Distributions for Photoacoustic Computed Tomography. SIAM Journal on Imaging Sciences, 11 (2). pp. 1560-1588. ISSN 1936-4954. PMCID PMC6447310. https://resolver.caltech.edu/CaltechAUTHORS:20180718-150844817

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Abstract

Accurate estimation of the initial pressure distribution in photoacoustic computed tomography (PACT) depends on knowledge of the sound speed distribution. However, the sound speed distribution is typically unknown. Further, the initial pressure and sound speed distributions cannot both, in general, be stably recovered from PACT measurements alone. In this work, a joint reconstruction (JR) method for the initial pressure distribution and a low-dimensional parameterized model of the sound speed distribution is proposed. By employing a priori information about the structure of the sound speed distribution, both the initial pressure and sound speed can be accurately recovered. The JR problem is solved by use of a proximal optimization method that allows constraints and nonsmooth regularization functions for the initial pressure distribution. The gradients of the cost function with respect to the initial pressure and sound speed distributions are calculated by use of an adjoint state method that has the same per-iteration computational cost as calculating the gradient with respect to the initial pressure distribution alone. This approach is evaluated through two-dimensional computer-simulation studies for a small animal imaging model and by application to experimental in vivo measurements of a mouse.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1137/17M1153649DOIArticle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6447310PubMed CentralArticle
ORCID:
AuthorORCID
Li, Lei0000-0001-6164-2646
Wang, Lihong V.0000-0001-9783-4383
Anastasio, Mark A.0000-0002-3192-4172
Additional Information:© 2018, Society for Industrial and Applied Mathematics. Submitted: 24 October 2017. Accepted: 05 February 2018. Published online: 05 June 2018. This work was funded in part by NSF award DMS1614305 and NIH award R01EB01696304. Computations were performed using the facilities of the Washington University Center for High Performance Computing, which were partially provided through grant NCRR 1S10RR022984-01A1.
Funders:
Funding AgencyGrant Number
NSFDMS-1614305
NIHR01EB01696304
NIH1S10RR022984-01A1
Subject Keywords:image reconstruction, joint image reconstruction, photoacoustic tomography
Issue or Number:2
Classification Code:AMS subject classifications. 92C55, 78A70, 35R30, 65K10
PubMed Central ID:PMC6447310
Record Number:CaltechAUTHORS:20180718-150844817
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180718-150844817
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87971
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:18 Jul 2018 22:25
Last Modified:07 Apr 2020 15:35

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