This article is cited in 2 papers

Proceedings of conferences

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

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.

UDC: 514.8, 517.983, 519.6

MSC: 44A30

Received March 6, 2010