Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry | Zendy

Zangerl Gerhard | Zendy; Scherzer Otmar | Zendy

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Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry

Author(s) -

Zangerl Gerhard,

Scherzer Otmar

Publication year - 2010

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1266

Subject(s) - radon transform , detector , projection (relational algebra) , mathematics , tomography , geometry , photoacoustic imaging in biomedicine , spherical wave , photoacoustic tomography , iterative reconstruction , radon , electromagnetic radiation , inversion (geology) , acoustics , optics , mathematical analysis , physics , computer vision , algorithm , computer science , quantum mechanics , paleontology , structural basin , biology

Illuminating tissue with pulsed electromagnetic waves generates acoustic waves inside an object which can be measured and converted into a three‐dimensional (3d) image. This text is concerned with a two‐step reconstruction method where the acoustic pressure is measured with circular integrating detectors. In the first step, reconstruction formulas for some kind of projection of the source distribution are derived; in the second step, an inversion formula for a circular radon transform on the sphere is developed. Copyright © 2010 John Wiley & Sons, Ltd.

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