PMID: 11318320Apr 25, 2001Paper

Fourier-based approach to interpolation in single-slice helical computed tomography

Medical Physics
P J La Rivière, X Pan

Abstract

It has recently been shown that longitudinal aliasing can be a significant and detrimental presence in reconstructed single-slice helical computed tomography (CT) volumes. This aliasing arises because the directly measured data in helical CT are generally undersampled by a factor of at least 2 in the longitudinal direction and because the exploitation of the redundancy of fanbeam data acquired over 360 degrees to generate additional longitudinal samples does not automatically eliminate the aliasing. In this paper we demonstrate that for pitches near 1 or lower, the redundant fanbeam data, when used properly, can provide sufficient information to satisfy a generalized sampling theorem and thus to eliminate aliasing. We develop and evaluate a Fourier-based algorithm, called 180FT, that accomplishes this. As background we present a second Fourier-based approach, called 360FT, that makes use only of the directly measured data. Both Fourier-based approaches exploit the fast Fourier transform and the Fourier shift theorem to generate from the helical projection data a set of fanbeam sinograms corresponding to equispaced transverse slices. Slice-by-slice reconstruction is then performed by use of two-dimensional fanbeam algorithms. Th...Continue Reading

References

Nov 1, 1990·Medical Physics·C R Crawford, K F King
Mar 1, 1982·Medical Physics·D L Parker
Nov 1, 1993·Medical Physics·G Wang, M W Vannier
Jul 1, 1994·Nuclear Medicine and Biology·W A Kalender
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Feb 9, 1999·Medical Physics·H Hu
Apr 8, 1999·IEEE Transactions on Medical Imaging·S Y YenS Napel
Jan 5, 2000·Medical Physics·G Wang, M W Vannier

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Citations

Apr 15, 2008·Medical Physics·I Mori
Jun 12, 2004·IEEE Transactions on Medical Imaging·Patrick J La Rivière, Xiaochuan Pan
Dec 11, 2002·IEEE Transactions on Medical Imaging·Patrick J La Rivière, Xiaochuan Pan
Aug 13, 2004·Medical Physics·Katsuyuki TaguchiMichael D Silver

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