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doi:10.22028/D291-39421
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: | https://iopscience.iop.org/article/10.1088/1742-6596/1715/1/012036 |
Link to this record: | urn:nbn:de:bsz:291--ds-394212 hdl:20.500.11880/35541 http://dx.doi.org/10.22028/D291-39421 |
ISSN: | 1742-6596 1742-6588 |
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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