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Licensed Unlicensed Requires Authentication Published by De Gruyter 2004

Singular value decomposition for the 2D fan-beam Radon transform of tensor fields

  • S. G. Kazantsev and A. A. Bukhgeim
From the journal

In this article we study the fan-beam Radon transform of symmetrical solenoidal 2D tensor fields of arbitrary rank m in a unit disc as the operator, acting from the object space L2(; Sm) to the data space L2([0, 2π) × [0, 2π)). The orthogonal polynomial basis of solenoidal tensor fields on the disc was built with the help of Zernike polynomials and then a singular value decomposition (SVD) for the operator was obtained. The inversion formula for the fan-beam tensor transform follows from this decomposition. Thus obtained inversion formula can be used as a tomographic filter for splitting a known tensor field into potential and solenoidal parts. Numerical results are presented.

Published Online: --
Published in Print: 2004-06-01

Copyright 2004, Walter de Gruyter

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