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Time-domain reconstruction algorithms and numerical simulations for thermoacoustic tomography in various geometries

Xu, Minghua and Xu, Yuan and Wang, Lihong V. (2003) Time-domain reconstruction algorithms and numerical simulations for thermoacoustic tomography in various geometries. IEEE Transactions on Biomedical Engineering, 50 (9). pp. 1086-1099. ISSN 0018-9294. http://resolver.caltech.edu/CaltechAUTHORS:20170131-141722751

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Abstract

In this paper, we present time-domain reconstruction algorithms for the thermoacoustic imaging of biological tissues. The algorithm for a spherical measurement configuration has recently been reported in another paper. Here, we extend the reconstruction algorithms to planar and cylindrical measurement configurations. First, we generalize the rigorous reconstruction formulas by employing Green's function technique. Then, in order to detect small (compared with the measurement geometry) but deeply buried objects, we can simplify the formulas when two practical conditions exist: 1) that the high-frequency components of the thermoacoustic signals contribute more to the spatial resolution than the low-frequency ones, and 2) that the detecting distances between the thermoacoustic sources and the detecting transducers are much greater than the wavelengths of the high-frequency thermoacoustic signals (i.e., those that are useful for imaging). The simplified formulas are computed with temporal back projections and coherent summations over spherical surfaces using certain spatial weighting factors. We refer to these reconstruction formulas as modified back projections. Numerical results are given to illustrate the validity of these algorithms.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TBME.2003.816081DOIArticle
http://ieeexplore.ieee.org/document/1220215/PublisherArticle
ORCID:
AuthorORCID
Xu, Yuan0000-0001-9326-2197
Wang, Lihong V.0000-0001-9783-4383
Additional Information:© 2003 IEEE. Manuscript received September 24, 2001; revised February 8, 2003. This work was sponsored in part by the U.S. Army Medical Research and Materiel Command under Grant DAMD17-00-1-0455, in part by the National Institutes of Health (NIH) under Grant R01 CA71980, in part by the National Science Foundation (NSF) under Grant BES-9734491, and in part by the Texas Higher Education Coordinating Board under Grant ARP 000512-0123-1999.
Funders:
Funding AgencyGrant Number
Army Medical Research and Materiel CommandDAMD17-00-1-0455
NIHR01 CA71980
NSFBES-9734491
Texas Higher Education Coordinating BoardARP 000512-0123-1999
Subject Keywords:Algorithm, geometry, imaging, photoacoustics, reconstruction, thermoacoustics, time-domain, tomography
Record Number:CaltechAUTHORS:20170131-141722751
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170131-141722751
Official Citation:Minghua Xu, Yuan Xu and L. V. Wang, "Time-domain reconstruction algorithms and numerical simulations for thermoacoustic tomography in various geometries," in IEEE Transactions on Biomedical Engineering, vol. 50, no. 9, pp. 1086-1099, Sept. 2003. doi: 10.1109/TBME.2003.816081 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1220215&isnumber=27416
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73899
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Feb 2017 00:14
Last Modified:01 Feb 2017 00:14

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