Coherent Interferometry Algorithms for Photoacoustic Imaging

Habib Ammari (1) , Elie Bretin (2) , Josselin Garnier (3) , Vincent Jugnon (4)

1 LOA - Laboratoire Ondes et Acoustique (UMR 7587)
2 ICJ - Institut Camille Jordan
3 LPMA - Laboratoire de Probabilités et Modèles Aléatoires
4 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

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.

Domaines: Analyse numérique [math.NA]; Probabilités [math.PR]; Statistiques [math.ST]; Théorie [stat.TH]

Habib Ammari, Elie Bretin, Josselin Garnier, Vincent Jugnon. Coherent Interferometry Algorithms for Photoacoustic Imaging. SIAM Journal on Numerical Analysis, 2012, 50 (5), pp.2259 - 2280. ⟨10.1137/100814275⟩. ⟨hal-01866911⟩