A family of inversion formulas in Thermoacoustic Tomography
Linh V. Nguyen (Department of Mathematics, Texas A & M University)
TL;DR
This paper introduces a new family of explicit inversion formulas for thermoacoustic tomography with constant sound speed, applicable in both time and frequency domains, unifying many existing methods.
Contribution
It provides a comprehensive set of closed-form inversion formulas that generalize and include most previously known filtered backprojection formulas.
Findings
Formulas applicable in both time and frequency domains.
Unification of existing inversion formulas under a common framework.
Enhanced understanding of inversion in thermoacoustic tomography.
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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Taxonomy
TopicsPhotoacoustic and Ultrasonic Imaging · Thermography and Photoacoustic Techniques · Ultrasonics and Acoustic Wave Propagation