Coherent Interferometry Algorithms for Photoacoustic Imaging
Name
Ammari-2012-COHERENT INTERFEROMETRY ALGORITHMS FOR.pdf
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Author(s) • • •
Ammari, Habib
Bretin, Elie
Garner, Josselin
Jugnon, Vincent
Date Issued
September 2012
Journal
SIAM Journal on Numerical Analysis
Publisher
Society for Industrial and Applied Mathematics
Citation
Ammari, Habib et al. “Coherent Interferometry Algorithms for Photoacoustic Imaging.” SIAM Journal on Numerical Analysis 50.5 (2012): 2259–2280. © 2012, Society for Industrial and Applied Mathematics
Version
Final published version
Abstract
The aim of this paper is to develop new coherent interferometry (CINT) algorithms to correct the effect of an unknown cluttered sound speed (random fluctuations around a known constant) on photoacoustic images. By back-propagating the correlations between the preprocessed pressure measurements, we show that we are able to provide statistically stable photoacoustic images. The preprocessing is exactly in the same way as when we use the circular or the line Radon inversion to obtain photoacoustic images. Moreover, we provide a detailed stability and resolution analysis of the new CINT--Radon algorithms. We also present numerical results to illustrate their performance and to compare them with Kirchhoff--Radon migration functions.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1137/100814275