Geodesic
The construction of solenoidal basis for three dimensional vector tomography
Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 65-80

Voir la notice de l'article provenant de la source Math-Net.Ru

The multipole fields method based on the expansion of a vector field and the ray transform on the basis solenoidal vectors has been developed for the inversion of the ray transform of three-dimensional (3D) vector fields. The analytical expressions for the ray transform of basis vectors are given. The results of numerical simulation are presented.
Keywords: tomography, inverse problems, numerical methods, plasma diagnostics. 
@article{MM_2014_26_12_a4,
     author = {A. L. Balandin},
     title = {The construction of solenoidal basis for three dimensional vector tomography},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {65--80},
     publisher = {mathdoc},
     volume = {26},
     number = {12},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_12_a4/}
}
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A. L. Balandin. The construction of solenoidal basis for three dimensional vector tomography. Matematičeskoe modelirovanie, Tome 26 (2014) no. 12, pp. 65-80. http://geodesic.mathdoc.fr/item/MM_2014_26_12_a4/