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

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

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...

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Veröffentlicht in:Advances in Mathematical Physics 2018-01, Vol.2018 (2018), p.1-4
1. Verfasser: Moon, Sunghwan
Format: Artikel
Sprache:eng
Schlagworte:
Acoustics
Algorithms
Analysis
Applied mathematics
Detectors
Diagnostic imaging
Geometry
Inverse problems
Mathematical problems
Medical imaging
Optical tomography
Optics
Photoacoustic effect
Radon transformation
Sensors
Tomography
Ultrasonic imaging
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2018/1727582