Inversion Formula for a Radon‐Type Transform Arising in Photoacoustic Tomography with Circular Integrating Detectors

Sunghwan Moon

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: This paper is devoted to a Radon‐type transform arising in a version of Photoacoustic Tomography that uses integrating circular detectors. The Radon‐type transform that arises can be decomposed into the known Radon‐type transforms: the spherical Radon transform and the sectional Radon transform. An inversion formula is obtained by combining existing inversion formulas for the above two Radon‐type transforms.

Date: 2018
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https://doi.org/10.1155/2018/1727582

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:1727582

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