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Frikel, J. ; Quinto, E.T.*

Artifacts in incomplete data tomography with applications to photoacoustic tomography and sonar.

SIAM J. Appl. Math. 75, 703-725 (2015)
Open Access Green as soon as Postprint is submitted to ZB.
We develop a paradigm using microlocal analysis that allows one to characterize the visible and added singularities in a broad range of incomplete data tomography problems. We give precise characterizations for photoacoustic and thermoacoustic tomography and sonar, and provide artifact reduction strategies. In particular, our theorems show that it is better to arrange sonar detectors so that the boundary of the set of detectors does not have corners and is smooth. To illustrate our results, we provide reconstructions from synthetic spherical mean data as well as from experimental photoacoustic data.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Computed Tomography ; Fourier Integral Operators ; Lambda Tomography ; Limited Angle Tomography ; Microlocal Analysis ; Photoacoustic Tomography ; Radon Transforms ; Sonar ; Spherical Mean ; Thermoacoustic Tomography; Local Tomography; Radon-transform; Optoacoustic Tomography; Limited Data; Reconstruction; Inversion
ISSN (print) / ISBN 0036-1399
e-ISSN 1095-712X
Quellenangaben Volume: 75, Issue: 2, Pages: 703-725 Article Number: , Supplement: ,
Publisher Society for Industrial and Applied Mathematics 
Publishing Place Philadelphia, Pa.
Reviewing status Peer reviewed