COHERENT INTERFEROMETRY ALGORITHMS FOR PHOTOACOUSTIC IMAGING

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 s...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 2012-01, Vol.50 (5), p.2259-2280
Main Authors: AMMARI, HABIB, BRETIN, ELIE, GARNIER, JOSSELIN, JUGNON, VINCENT
Format: Article
Language:English
Subjects:
Acoustics
Algorithms
Applied mathematics
Correlations
Energy
Fourier transformations
Fourier transforms
Imaging
Interferometry
Mathematics
Noise
Numerical Analysis
Probability
Propagation
Radon
Signal noise
Statistics
Statistics Theory
Travel time
Ultrasonic imaging
Ultrasonography
Wave propagation
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Summary: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/100814275