Share Email Print
cover

Journal of Biomedical Optics

Photoacoustic image reconstruction in an attenuating medium using singular-value decomposition
Format Member Price Non-Member Price
PDF $20.00 $25.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

Attenuation effects can be significant in photoacoustic tomography since the generated pressure signals are broadband, and ignoring them may lead to image artifacts and blurring. La Rivière et al. [Opt. Lett. 31(6), pp. 781-783, (2006)] had previously 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. We derive an integral operator relating the attenuated pressure signals to the absorbed optical energy for a planar measurement geometry. The matrix operator relating the two quantities is a function of the temporal frequency, attenuation coefficient and the two-dimensional spatial frequency. We perform singular-value decomposition (SVD) of this integral operator to study the problem further. 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 to characterize the ill-posedness of recovering the absorbed optical energy distribution at different depths in an attenuating medium. This integral equation can be inverted using standard SVD methods, and the initial pressure distribution can be recovered. We conduct simulations and derive an algorithm for image reconstruction using SVD for a planar measurement geometry. We also study the noise and resolution properties of this image-reconstruction method.

Paper Details

Date Published: 7 May 2012
PDF: 9 pages
J. Biomed. Opt. 17(6) 061204 doi: 10.1117/1.JBO.17.6.061204
Published in: Journal of Biomedical Optics Volume 17, Issue 6
Show Author Affiliations
Dimple Modgil, The Univ. of Chicago Medical Ctr. (United States)
Patrick J. La Rivière, The Univ. of Chicago Medical Ctr. (United States)
Bradley E. Treeby, Australian National Univ. (United Kingdom)


© SPIE. Terms of Use
Back to Top