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Proceedings Paper

Statistical model for tomographic reconstruction methods using spline functions
Author(s): Habib Benali; Jeanpierre V. Guedon; Irene Buvat; Melanie Pelegrini; Yves J. Bizais; Robert Di Paola
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Paper Abstract

The conventional approach to tomographic reconstruction in the presence of noise consists in finding some compromise between the likelihood of the noisy projections and the expected smoothness of the solution, given the ill-posed nature of the reconstruction problem. Modelling noise properties is usually performed in iterative reconstruction schemes. In this paper, an analytical approach to the reconstruction from noisy projections is proposed. A statistical model is used to separate the relevant part of the projections from noise before the reconstruction. As reconstruction of sampled noise-free projections is still an ill- posed problem, a continuity assumption regarding the object to be reconstructed is also formulated. This assumption allows us to derive a spline filtered backprojection in order to invert the Radon operator. Preliminary results show the interest of combining continuity assumptions with noise modelling into an analytical reconstruction procedure.

Paper Details

Date Published: 8 July 1994
PDF: 10 pages
Proc. SPIE 2299, Mathematical Methods in Medical Imaging III, (8 July 1994); doi: 10.1117/12.179255
Show Author Affiliations
Habib Benali, INSERM (France)
Jeanpierre V. Guedon, IRESTE/LATI (France)
Irene Buvat, INSERM (France)
Melanie Pelegrini, INSERM (France)
Yves J. Bizais, Univ. Hospital/Nantes (France)
Robert Di Paola, INSERM (France)

Published in SPIE Proceedings Vol. 2299:
Mathematical Methods in Medical Imaging III
Fred L. Bookstein; James S. Duncan; Nicholas Lange; David C. Wilson, Editor(s)

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