Geodesic
Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 154-174

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We propose a numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from the known values of the normal Radon transform. The algorithm is based on the method of truncated singular value decomposition. Numerical simulations confirm that the proposed method yields good results of reconstruction of potential symmetric 2-tensor fields.
Keywords: tensor tomography, potential symmetric 2-tensor field, operator of inner differentiation, approximation, truncated singular value decomposition
Mots-clés : normal Radon transform, orthogonal polynomials. 
@article{SEMR_2016_13_a92,
     author = {A. P. Polyakova and I. E. Svetov},
     title = {Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal {Radon} transform},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {154--174},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a92/}
}
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A. P. Polyakova; I. E. Svetov. Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 154-174. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a92/