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A Radon-type transform arising in photoacoustic tomography with circular detectors: spherical geometry

Author(s)
Hristova, YuliaMoon, SunghwanSteinhauer, Dustin
Issued Date
2016-06
DOI
10.1080/17415977.2015.1088537
URI
https://scholarworks.unist.ac.kr/handle/201301/19455
Fulltext
http://www.tandfonline.com/doi/full/10.1080/17415977.2015.1088537
Citation
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, v.24, no.6, pp.974 - 989
Abstract
In this paper, we propose a detector geometry for photoacoustic tomography that offers the practical advantage that it could be implemented with a single circular detector. The Radon-type transform that arises can be decomposed into the spherical Radon transform and the Funk-Minkowski transform. An inversion formula and a range description are obtained by combining existing inversion formulas and range descriptions for the spherical Radon transform and the Funk-Minkowski transform. Numerical simulations are performed to demonstrate our proposed algorithm
Publisher
TAYLOR & FRANCIS LTD
ISSN
1741-5977
Keyword (Author)
Radon transformtomographyphotoacousticthermoacousticintegrating detectors
Keyword
THERMOACOUSTIC TOMOGRAPHYINTEGRATING DETECTORSINVERSION FORMULASRANGE CONDITIONSMEAN TRANSFORMRECONSTRUCTIONFAMILYPHOTO

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