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 language | English |
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Pages (from-to) | 2089-2102 |
Number of pages | 14 |
Journal | Inverse Problems |
Volume | 23 |
Issue number | 5 |
DOIs | |
State | Published - 1 Oct 2007 |
Funding
Funders | Funder number |
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National Science Foundation | |
Directorate for Mathematical and Physical Sciences | 0604778 |