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A priori selection of the regularization parameters in emission tomography by Fourier synthesis

✍ Scribed by D. Mariano-Goulart; P. Maréchal; S. Gratton; L. Giraud; M. Fourcade

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
685 KB
Volume
31
Category
Article
ISSN
0895-6111

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✦ Synopsis

This paper describes how the stability of the inverse problem underlying emission tomography can be measured and controlled in clinical settings. We show how the Lanczos approximation provides a way to regularize a certain class of iterative reconstruction algorithms through a given level of noise or resolution in the slices and for a given acquisition protocol. Moreover, we show how the same Lanczos approximation can be used to decide when the iterative reconstruction algorithm actually converges for a given machine precision. These ideas are illustrated by means of reconstructions of simulated and actual emission datasets.

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