Geodesic
Some approaches to a~reconstruction of a~singular support of scalar, vector and tensor fields by their known tomographic data
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 632-646

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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. 
@article{SEMR_2008_5_a54,
     author = {E. Yu. Derevtsov},
     title = {Some approaches to a~reconstruction of a~singular support of scalar, vector and tensor fields by their known tomographic data},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {632--646},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a54/}
}
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E. Yu. Derevtsov. Some approaches to a~reconstruction of a~singular support of scalar, vector and tensor fields by their known tomographic data. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 632-646. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a54/