13 February 2007 Perspectives in Fourier-based image reconstruction in photoacoustic tomography
Author Affiliations +
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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Mark A. Anastasio, Mark A. Anastasio, Jin Zhang, Jin Zhang, Daxin Shi, Daxin Shi, Xiaochuan Pan, Xiaochuan Pan, } "Perspectives in Fourier-based image reconstruction in photoacoustic tomography", 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; https://doi.org/10.1117/12.701260
PROCEEDINGS
7 PAGES


SHARE
Back to Top