A family of inversion formulas in thermoacoustic tomography

Linh V. Nguyen

doi:10.3934/ipi.2009.3.649

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2009, Volume 3, Issue 4: 649-675. Doi: 10.3934/ipi.2009.3.649

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A family of inversion formulas in thermoacoustic tomography

Linh V. Nguyen^1,

1.
Department of Mathematics, Texas A & M University, Mailstop 3368, College Station, TX 77843-3368

Received: January 31, 2009

Revised: June 30, 2009

Published: October 2009

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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.

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Mathematics Subject Classification: Primary: 92C55, 35L05, 35R30; Secondary: 44A99, 45Q05.

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A family of inversion formulas in thermoacoustic tomography

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