Geodesic
Polinomial decomposion method for 3-D vector tomography problems
Matematičeskoe modelirovanie, Tome 17 (2005) no. 5, pp. 52-66.

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The method of series expansion has been developed for the inversion of the $\mathcal X$-ray transform of three-dimensional (3-D) vector fields, and the corresponding vector central-slice theorem derived. The simulation demonstrating the 3-D reconstruction of the model vector fields is presented. 
@article{MM_2005_17_5_a5,
     author = {A. L. Balandin},
     title = {Polinomial decomposion method for {3-D} vector tomography problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {52--66},
     publisher = {mathdoc},
     volume = {17},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_5_a5/}
}
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A. L. Balandin. Polinomial decomposion method for 3-D vector tomography problems. Matematičeskoe modelirovanie, Tome 17 (2005) no. 5, pp. 52-66. http://geodesic.mathdoc.fr/item/MM_2005_17_5_a5/