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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 632–646
(Mi semr134)
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This article is cited in 4 scientific papers (total in 4 papers)
Reviews
Some approaches to a reconstruction of a singular support of scalar, vector and tensor fields by their known tomographic data
E. Yu. Derevtsov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
The problem of singular support reconstruction of scalar, vector and tensor fields by their given tomographic data is formulated in the paper. Main definitions and properties of differential and integral operators which were used for the problem of the singular support visualization are described, as well as the results of numerical simulations.
Keywords:
tensor field, ray transform, back projection operator, singular support.
Received August 11, 2008, published November 28, 2008
Citation:
E. Yu. Derevtsov, “Some approaches to a reconstruction of a singular support of scalar, vector and tensor fields by their known tomographic data”, Sib. Èlektron. Mat. Izv., 5 (2008), 632–646
Linking options:
https://www.mathnet.ru/eng/semr134 https://www.mathnet.ru/eng/semr/v5/p632
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