Circular integrating detectors in photo and thermoacoustic tomography

DOI10.1080/17415970802166782zbMath1156.92027OpenAlexW2049082501MaRDI QIDQ3612717

Gerhard Zangerl, Markus Haltmeier, Otmar Scherzer

Publication date: 10 March 2009

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970802166782

zbMATH Keywords

Radon transformHankel transformimage reconstructionphotoacoustic tomographyintegrating detectors

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Wave equation (35L05) Radon transform (44A12) Numerical methods for inverse problems for integral equations (65R32)

Related Items (8)

Inversion formula for a Radon-type transform arising in photoacoustic tomography with circular integrating detectors ⋮ A Radon-type transform arising in photoacoustic tomography with circular detectors: spherical geometry ⋮ Sampling in thermoacoustic tomography ⋮ Thermoacoustic tomography with circular integrating detectors and variable wave speed ⋮ Thermo- and Photoacoustic Tomography with Variable Speed and Planar Detectors ⋮ Exact reconstruction in photoacoustic tomography with circular integrating detectors II: Spherical geometry ⋮ Mathematics of Photoacoustic and Thermoacoustic Tomography ⋮ Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed

Cites Work

• Range descriptions for the spherical mean Radon transform
• Determining a Function from Its Mean Values Over a Family of Spheres
• Thermoacoustic computed tomography with large planar receivers
• THERMOACOUSTIC TOMOGRAPHY AND THE CIRCULAR RADON TRANSFORM: EXACT INVERSION FORMULA
• Inversion of Spherical Means and the Wave Equation in Even Dimensions
• Filtered backprojection for thermoacoustic computed tomography in spherical geometry

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