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arXiv:0706.1303 [math.AP]AbstractReferencesReviewsResources

On reconstruction formulas and algorithms for the thermoacoustic tomography

M. Agranovsky, P. Kuchment, L. Kunyansky

Published 2007-06-09, updated 2007-10-21Version 2

The paper surveys recent progress in establishing uniqueness and developing inversion formulas and algorithms for the thermoacoustic tomography. In mathematical terms, one deals with a rather special inverse problem for the wave equation. In the case of constant sound speed, it can also be interpreted as a problem concerning the spherical mean transform.

Journal: Ch. 8 in L. H. Wang (Editor) "Photoacoustic imaging and spectroscopy," CRC Press 2009, pp. 89-101.
Categories: math.AP, math.NA
Subjects: 35L05, 92C55, 65R32, 44A12
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