Inverse Problems and Imaging (IPI)

A family of inversion formulas in thermoacoustic tomography

Pages: 649 - 675, Volume 3, Issue 4, November 2009      doi:10.3934/ipi.2009.3.649

       Abstract        Full Text (284.6K)       Related Articles       

Linh V. Nguyen - Department of Mathematics, Texas A & M University, Mailstop 3368, College Station, TX 77843-3368, United States (email)

Abstract: We present a family of closed form inversion formulas in thermoacoustic tomography in the case of a constant sound speed. The formulas are presented in both time-domain and frequency-domain versions. As special cases, they imply most of the previously known filtered backprojection type formulas.

Keywords:  Tomography, Inversion formulas, Spherical means, Wave equation.
Mathematics Subject Classification:  Primary: 92C55, 35L05, 35R30; Secondary: 44A99, 45Q05.

Received: February 2009;      Revised: July 2009;      Available Online: October 2009.