Please use this identifier to cite or link to this item: doi:10.22028/D291-39421
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Title: On solving the slice-by-slice three-dimensional 2-tensor tomography problems using the approximate inverse method
Author(s): Louis, A. K.
Maltseva, S. V.
Polyakova, A. P.
Schuster, T.
Svetov, I. E.
Language: English
Title: Journal of Physics: Conference Series
Volume: 1715
Publisher/Platform: IOP Publishing
Year of Publication: 2021
DDC notations: 510 Mathematics
Publikation type: Conference Paper
Abstract: A numerical solution of the problem of recovering the solenoidal part of a threedimensional symmetric 2-tensor field using the incomplete tomographic data is proposed. The initial data of the problem are values of the ray transform for all straight lines, which are parallel to at least one of the planes from a finite set of planes. We consider two sets of planes, the number of planes in which are three and six. The recovery algorithms are based on the approximate inverse method.
DOI of the first publication: 10.1088/1742-6596/1715/1/012036
URL of the first publication:
Link to this record: urn:nbn:de:bsz:291--ds-394212
ISSN: 1742-6596
Date of registration: 30-Mar-2023
Notes: International Conference Marchuk Scientific Readings 2020 (MSR-2020), dedicated to the 95th anniversary of the birthday of RAS Academician Guri. I. Marchuk October 19-23, 2020, Akademgorodok, Novosibirsk, Russia
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Professorship: MI - Prof. Dr. Thomas Schuster
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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