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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages C.248–C.257 (Mi semr286)  
This article is cited in 2 scientific papers (total in 2 papers)

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About obtaining of analytical expressions for the images of $B$-splines for the Radon's transform and use of its in problems of scalar tomography

A. P. Polyakova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: In this paper we propose an algorithm to obtain analytical formulas for Radon transform images of $B$-splines of order n. Application of these formulas in solving of scalar tomography problem significantly reduced the time of computations in the implementation of the method of least squares.
Keywords: $B$-splines, Radon transform, scalar tomography, least-squares method.
Received March 6, 2010
Document Type: Article
UDC: 514.8, 517.983, 519.6
MSC: 44A30
Language: Russian
Citation: A. P. Polyakova, “About obtaining of analytical expressions for the images of $B$-splines for the Radon's transform and use of its in problems of scalar tomography”, Sib. Èlektron. Mat. Izv., 7 (2010), C.248–C.257
Citation in format AMSBIB
\Bibitem{Pol10}
\by A.~P.~Polyakova
\paper About obtaining of analytical expressions for the images of $B$-splines for the Radon's transform and use of its in problems of scalar tomography
\jour Sib. \`Elektron. Mat. Izv.
\yr 2010
\vol 7
\pages C.248--C.257
\mathnet{http://mi.mathnet.ru/semr286}
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