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Some approaches to a reconstruction of a singular support of scalar, vector and tensor fields by their known tomographic data

E. Yu. Derevtsov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The problem of singular support reconstruction of scalar, vector and tensor fields by their given tomographic data is formulated in the paper. Main definitions and properties of differential and integral operators which were used for the problem of the singular support visualization are described, as well as the results of numerical simulations.

Keywords: tensor field, ray transform, back projection operator, singular support.

UDC: 517.9, 519.6

MSC: 44A30

Received August 11, 2008, published November 28, 2008

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