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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.
Keywords: Cone-beam transform; singular value
decomposition (SVD); three-dimensional Zernike polynomials; bipolar spherical harmonics (BiPoSH)
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
