A family of inversion formulas in thermoacoustic tomography
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.
Received: February 2009; Revised: July 2009; Available Online: October 2009.
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