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Avtometriya

2006 year, number 1

Comparison of feldkamp algorithm with fourier synthesis algorithm for 3d tomography

A. V. Likhachev
Novosibirsk
Pages: 77-88

Abstract

A new slice-by-slice reconstruction algorithm based on the Fourier synthesis method is proposed for projection geometry with a source moving along a circle. The time estimate of reconstructing by this algorithm on an N x N x N grid from M projections is O(MN2log2N). The estimate is O(N / log2N) times less than that for classical implementation of Feldkamp algorithm. A computational experiment showed that the Feldkamp algorithm yields in accuracy to the method of Fourier slice-by-slice synthesis in the case of a small radius of the source movement circle (3