Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

Mark Agranovsky, Peter Kuchment

Research output: Contribution to journalArticlepeer-review

101 Scopus citations

Abstract

The paper contains an analytic reconstruction formula in thermoacoustic and photoacoustic tomography. It works for any geometry of point detectors placement along a closed surface and for variable sound speed satisfying a non-trapping condition. It is shown how this formula leads in particular to eigenfunction expansion reconstructions, including those recently obtained for the case of a uniform background. A uniqueness of reconstruction result is also obtained.

Original languageEnglish
Pages (from-to)2089-2102
Number of pages14
JournalInverse Problems
Volume23
Issue number5
DOIs
StatePublished - 1 Oct 2007

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