Fourier reconstruction in tomography
type: Item
instance of: scholarly article
title: Fourier reconstruction in tomography
zbMATH Open document ID: 0583.65090
DOI: 10.1007/BF01389583
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133037
review text: In computer tomography (CT) the Radon transform has to be inversed. With the aid of the Fourier transform one gets an inversion formula. A straightforward discretization of this formula leads to the standard Fourier reconstruction algorithm (FR), which is much more efficient than the filtered back projection algorithm, e.g. But the accuracy of FR can not compete with other reconstruction techniques. The trouble in accuracy is caused by the interpolatory part of the algorithm, especially by the radial interpolation, while the angular interpolation is allright. This observation leads to an improved version of FR, for which a rigorous error analysis is given. Numerical experiments with a computer generated chest phantom demonstrate the accuracy of the modified FR.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 3934375
zbMATH Keywords: comparison of methods
zbMATH Keywords: computer tomography
zbMATH Keywords: Radon transform
zbMATH Keywords: Fourier transform
zbMATH Keywords: inversion formula
zbMATH Keywords: Fourier reconstruction algorithm
zbMATH Keywords: filtered back projection algorithm
zbMATH Keywords: radial interpolation
zbMATH Keywords: angular interpolation
zbMATH Keywords: error analysis
zbMATH Keywords: Numerical experiments
author: Frank Natterer
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3934375