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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)
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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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Schlagwörter 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 Band: 75, Heft: 2, Seiten: 703-725 Artikelnummer: , Supplement: ,
Verlag Society for Industrial and Applied Mathematics 
Verlagsort Philadelphia, Pa.