Exact series reconstruction in photoacoustic tomography with circular integrating detectors
Zangerl, Gerhard ; Scherzer, Otmar ; Haltmeier , Markus
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 665-678 / Harvested from Project Euclid
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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.
Publié le : 2009-09-15
Classification:  Radon transform,  photoacoustic tomography,  photoacoustic microscopy,  Hankel transform,  image reconstruction,  integrating detectors,  axially symmetric,  wave equation,  44A12,  65R32,  35L05,  92C55 
@article{1256562818,
     author = {Zangerl, Gerhard and Scherzer, Otmar and Haltmeier , Markus},
     title = {Exact series reconstruction in photoacoustic tomography with circular
					integrating detectors},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 665-678},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256562818}
}

Zangerl, Gerhard; Scherzer, Otmar; Haltmeier , Markus. Exact series reconstruction in photoacoustic tomography with circular
					integrating detectors. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  665-678. http://gdmltest.u-ga.fr/item/1256562818/