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Licensed Unlicensed Requires Authentication Published by De Gruyter March 22, 2014

Singular value decomposition for the cone-beam transform in the ball

  • Sergey G. Kazantsev EMAIL logo

Abstract

The X-ray computerized tomography is concerned to the reconstruction of a function f from line (ray) integrals of f. In general, we may have the parallel ray or divergent ray geometry. In this paper we develop an analytical singular value decomposition method for the cone-beam transform in divergent ray geometry. For the parallel ray transform a singular value decomposition has been derived by P. Maass in 1987.

Funding source: RFFI

Award Identifier / Grant number: N 11-01-00147-a

Funding source: RFFI

Award Identifier / Grant number: N 13-01-00275

Received: 2013-11-9
Accepted: 2014-2-27
Published Online: 2014-3-22
Published in Print: 2015-4-1

© 2015 by De Gruyter

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