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Ansorg, M.* ; Filbir, F. ; Madych, W.R.* ; Seyfried, R.

Summability kernels for circular and spherical mean data.

Inverse Probl. 29:015002 (2013)
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
The reconstruction of images from data modeled by circular or spherical mean Radon transforms plays an important role in thermoacoustic and photoacoustic tomography. We consider a modification of a summability-type approximate reconstruction method described in earlier work and show that in the limit it leads to exact reconstruction. Among the consequences of this development are certain two- and three-dimensional inversion-type formulas in which the detectors lie on ellipses or ellipsoids respectively.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
ISSN (print) / ISBN 0266-5611
e-ISSN 1361-6420
Zeitschrift Inverse Problems
Quellenangaben Band: 29, Heft: 1, Seiten: , Artikelnummer: 015002 Supplement: ,
Verlag Institute of Physics Publishing (IOP)
Begutachtungsstatus Peer reviewed