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Proceedings Paper

Photoacoustic image reconstruction in an attenuating medium using singular value decomposition
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Paper Abstract

Attenuation effects can be significant in photoacoustic tomography (PAT) since the measured pressure signals are broadband and ignoring them may lead to image artifacts and blurring. Previous work by our group had derived a method for modeling the attenuation effect and correcting for it in the image reconstruction. This was done by relating the ideal, unattenuated pressure signals to the attenuated pressure signals via an integral operator. In this work, we explore singularvalue decomposition (SVD) of a previously derived 3D integral equation that relates the Fourier transform of the measured pressure with respect to time and two spatial components to the 2D spatial Fourier transform of the optical absorption function. We find that the smallest singular values correspond to wavelet-like eigenvectors in which most of the energy is concentrated at times corresponding to greater depths in tissue. This allows us characterize the ill posedness of recovering absorption information from depth in an attenuating medium. This integral equation can be inverted using standard SVD methods and the optical absorption function can be recovered. We will conduct simulations and derive algorithm for image reconstruction using SVD of this integral operator.

Paper Details

Date Published: 24 February 2009
PDF: 7 pages
Proc. SPIE 7177, Photons Plus Ultrasound: Imaging and Sensing 2009, 71771B (24 February 2009); doi: 10.1117/12.809030
Show Author Affiliations
Dimple Modgil, The Univ. of Chicago (United States)
Mark A. Anastasio, Illinois Institute of Technology (United States)
Patrick J. La Riviere, The Univ. of Chicago (United States)

Published in SPIE Proceedings Vol. 7177:
Photons Plus Ultrasound: Imaging and Sensing 2009
Alexander A. Oraevsky; Lihong V. Wang, Editor(s)

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