This article is cited in 12 papers

Reconstruction of solenoidal part of a three-dimensional vector field by its ray transforms along straight lines, parallel to the coordinate planes

I. E. Svetov<sup>ab

a</sup> Novosibirsk State University, Novosibirsk
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: The numerical solution of a vector field reconstruction problem is offered. It is assumed that a field is given in a unit ball. The approximation of the solenoidal part of the vector field is constructed from ray transforms known over all the straight lines parallel to one of the coordinate planes. Good results of reconstruction of solenoidal vector fields by the numerical simulations are proposed.

Key words: vector tomography, solenoidal field, approximation, inversion formula, ray transform, fast Fourier transform.

UDC: 514.8+517.983+519.6

Received: 21.04.2011
Revised: 15.06.2011

 English version: Numerical Analysis and Applications, 2012, 5:3, 271–283

Bibliographic databases:

• 
•