Geodesic
Numerical solution of reconstruction problem of a~potential vector field in a~ball from its normal Radon transform
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 3, pp. 63-75

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We propose a numerical solution of reconstruction problem of a potential vector 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 vector fields.
Keywords: vector tomography, potential vector field, approximation, truncated singular value decomposition
Mots-clés : normal Radon transform, orthogonal polynomials. 
@article{SJIM_2015_18_3_a6,
     author = {A. P. Polyakova and I. E. Svetov},
     title = {Numerical solution of reconstruction problem of a~potential vector field in a~ball from its normal {Radon} transform},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {63--75},
     publisher = {mathdoc},
     volume = {18},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_3_a6/}
}
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A. P. Polyakova; I. E. Svetov. Numerical solution of reconstruction problem of a~potential vector field in a~ball from its normal Radon transform. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 3, pp. 63-75. http://geodesic.mathdoc.fr/item/SJIM_2015_18_3_a6/