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Proceedings Paper

Applying Mojette discrete radon transforms to classical tomographic data
Author(s): H. Fayad; J. P. Guédon; I. Svalbe; Y. Bizais; N. Normand
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Paper Abstract

Tomographic acquisition uses projection angles evenly distributed around 2π. The Mojette transform and the discrete Finite Radon Transform (FRT) both use discrete geometry to overcome the ill-posedeness of the inverse Radon transform. This paper focuses on the transformation of acquired tomographic projections into suitable discrete projection forms. Discrete Mojette and FRT algorithms can then be used for image reconstruction. The impact of physical acquisition parameters (which produce uncertainties in the detected projection data) is also analysed to determine the possible useful interpolations according to the choice of angle acquisitions and the null space of the transform. The mean square error (MSE) reconstruction results obtained for data from analytical phantoms consistently shows the superiority of these discrete approaches when compared to the classical "continuous space" FBP reconstruction.

Paper Details

Date Published: 25 March 2008
PDF: 11 pages
Proc. SPIE 6913, Medical Imaging 2008: Physics of Medical Imaging, 69132S (25 March 2008); doi: 10.1117/12.770478
Show Author Affiliations
H. Fayad, LATIM, INSERM, CHU Morvan (France)
IRCCyN, Ecole Polytechnique Univ. of Nantes (France)
J. P. Guédon, IRCCyN, Ecole Polytechnique Univ. of Nantes (France)
I. Svalbe, Monash Univ. (Australia)
Y. Bizais, LATIM, INSERM, CHU Morvan (France)
N. Normand, IRCCyN, Ecole Polytechnique Univ. of Nantes (France)

Published in SPIE Proceedings Vol. 6913:
Medical Imaging 2008: Physics of Medical Imaging
Jiang Hsieh; Ehsan Samei, Editor(s)

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