Open Access
September 2009 Exact series reconstruction in photoacoustic tomography with circular integrating detectors
Gerhard Zangerl, Otmar Scherzer, Markus Haltmeier
Commun. Math. Sci. 7(3): 665-678 (September 2009).


A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of circular integrating detectors are used to reconstruct the circular projection of the source distribution. In the second step the inverse circular Radon transform is applied. In this article we establish inversion formulas for the first step, which involves an inverse problem for the axially symmetric wave equation. Numerical results are presented that show the validity and robustness of the resulting algorithm.


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Gerhard Zangerl. Otmar Scherzer. Markus Haltmeier . "Exact series reconstruction in photoacoustic tomography with circular integrating detectors." Commun. Math. Sci. 7 (3) 665 - 678, September 2009.


Published: September 2009
First available in Project Euclid: 26 October 2009

zbMATH: 1185.65240
MathSciNet: MR2569028

Primary: 35L05 , 44A12 , 65R32 , 92C55

Keywords: axially symmetric , Hankel transform , Image reconstruction , integrating detectors , photoacoustic microscopy , photoacoustic tomography , Radon transform , wave equation

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 3 • September 2009
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