Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 2009 | Published
Journal Article Open

Effects of Different Imaging Models on Least-Squares Image Reconstruction Accuracy in Photoacoustic Tomography


In the classic formulation of photoacoustic tomography (PAT), two distinct descriptions of the imaging model have been employed for developing reconstruction algorithms. We demonstrate that the numerical and statistical properties of unweighted least-squares reconstruction algorithms associated with each imaging model are generally very different. Specifically, some PAT reconstruction algorithms, including many of the iterative algorithms previously explored, do not work directly with the raw measured pressure wavefields, but rather with an integrated data function that is obtained by temporally integrating the photoacoustic wavefield. The integration modifies the statistical distribution of the data, introducing statistical correlations among samples. This change is highly significant for iterative algorithms, many of which explicitly or implicitly seek to minimize a statistical cost function. In this work, we demonstrate that iterative reconstruction by least-squares minimization yields better resolution-noise tradeoffs when working with the raw pressure data than with the integrated data commonly employed. In addition, we demonstrate that the raw-data based approach is less sensitive to certain deterministic errors, such as dc offset errors.

Additional Information

© 2009 IEEE. Manuscript received March 02, 2009; revised May 11, 2009. Current version published October 28, 2009. This work was supported in part by the Pritzker Institute of Biomedical Science and Engineering under Seed Grant #4-52681 and in part by the National Science Foundation under CAREER Award 0546113. The work of P. J. La Rivière was supported by an American Cancer Society Research Scholar Grant. The authors would like to thank the anonymous reviewers for insightful reviews and especially Associate Editor J. Fessler, whose healthy skepticism helped us uncover a bug that had led us to an erroneous conclusion in an earlier version of the manuscript. J. Zhang thanks Dr. M. Jin for helpful discussions.

Attached Files

Published - 05297445.pdf


Files (1.4 MB)
Name Size Download all
1.4 MB Preview Download

Additional details

August 19, 2023
October 20, 2023