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Open Access Green as soon as Postprint is submitted to ZB.
Summability kernels for circular and spherical mean data.
Inverse Probl. 29:015002 (2013)
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
RADON-TRANSFORM; INVERSION; TOMOGRAPHY
ISSN (print) / ISBN
0266-5611
e-ISSN
1361-6420
Journal
Inverse Problems
Quellenangaben
Volume: 29,
Issue: 1,
Article Number: 015002
Publisher
Institute of Physics Publishing (IOP)
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)