Geodesic
Approximate inversion of operators of two-dimensional vector tomography
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 607-623

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We propose two approaches for numerical solution of reconstruction problem of a vector field in an unit disk from the known values of longitudinal and transverse ray transforms. The algorithms are based on the method of approximate inverse. Numerical simulations show that the proposed algorithms yield good results of reconstruction of vector fields.
Keywords: vector tomography, method of approximate inverse, longitudinal ray transform, solenoidal vector field, potential vector field, potential, numerical simulation.
Mots-clés : transverse ray transform, Radon transform 
@article{SEMR_2016_13_a95,
     author = {I. E. Svetov and S. V. Maltseva and A. P. Polyakova},
     title = {Approximate inversion of operators of two-dimensional vector tomography},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {607--623},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a95/}
}
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I. E. Svetov; S. V. Maltseva; A. P. Polyakova. Approximate inversion of operators of two-dimensional vector tomography. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 607-623. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a95/