Reconstruction of a Vector Field in a Ball from its Normal Radon Transform

Verfasser / Beitragende:
[A. Polyakova]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/3(2015-03-01), 418-439
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2256-1  |2 doi 
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100 1 |a Polyakova  |D A.  |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia  |4 aut 
245 1 0 |a Reconstruction of a Vector Field in a Ball from its Normal Radon Transform  |h [Elektronische Daten]  |c [A. Polyakova] 
520 3 |a We study a vector tomography problem of reconstructing potential components of a three-dimensional vector field from its normal Radon transform. The method of singular value decomposition is used. For the subspace of potential fields with potentials vanishing on the boundary, we construct an orthogonal basis and compute its image under the normal Radon transform. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 418-439  |x 1072-3374  |q 205:3<418  |1 2015  |2 205  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Polyakova  |D A.  |u Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, 630090, Novosibirsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 418-439  |x 1072-3374  |q 205:3<418  |1 2015  |2 205  |o 10958