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Proceedings Paper

Perspectives in Fourier-based image reconstruction in photoacoustic tomography
Author(s): Mark A. Anastasio; Jin Zhang; Daxin Shi; Xiaochuan Pan
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Paper Abstract

Photoacoustic tomography (PAT) is an emerging imaging technique with great potential for a wide range of biomedical imaging applications. The reconstruction problem of PAT is an inverse source problem, in which the photoacoustic source of interest is induced by a probing optical wavefield. In this work, we revisit the PAT reconstruction problem from a Fourier perspective. By use of standard analytic techniques from inverse source theory, we derive a mathematical relationship between the pressure wavefield data function and its normal derivative measured on an arbitrary aperture that encloses the object and the three-dimensional Fourier transform of the optical absorption distribution evaluated on concentric spheres. We refer to this relationship as a "Fourier-shell identity", which is analogous to the well-known Fourier-slice theorem of X-ray tomography. Potential applications of the Fourier-shell identity are identified and discussed.

Paper Details

Date Published: 13 February 2007
PDF: 7 pages
Proc. SPIE 6437, Photons Plus Ultrasound: Imaging and Sensing 2007: The Eighth Conference on Biomedical Thermoacoustics, Optoacoustics, and Acousto-optics, 64371D (13 February 2007); doi: 10.1117/12.701260
Show Author Affiliations
Mark A. Anastasio, Illinois Institute of Technology (United States)
Jin Zhang, Illinois Institute of Technology (United States)
Daxin Shi, Illinois Institute of Technology (United States)
Xiaochuan Pan, The Univ. of Chicago (United States)


Published in SPIE Proceedings Vol. 6437:
Photons Plus Ultrasound: Imaging and Sensing 2007: The Eighth Conference on Biomedical Thermoacoustics, Optoacoustics, and Acousto-optics
Alexander A. Oraevsky; Lihong V. Wang, Editor(s)

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