Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed Academic Article uri icon

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. © 2007 IOP Publishing Ltd.

author list (cited authors)

  • Agranovsky, M., & Kuchment, P.

citation count

  • 76

publication date

  • October 2007