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Méthodes hilbertiennes pour la correction d'atténuation en Tomographie d'Émission Monophotonique

Abstract : This thesis is about image reconstruction through its parallel attenuated projections. This mathematic problem has many applications in medical tomography, specially in single-photon emitted tomography with attenuation correction, under the hypothesis that the attenuation is know in the emission area. First we describe both physiological and mathematical principles of photon emitted tomography. Then we present an iterative reconstruction method based on taking in consideration the attenuation phenomenon. This phenomenon is the principal responsible of perturbation in photon emitted tomography. Our method is a generalization of the classical algebraic reconstruction technique (ART) and introduces exact and implicit attenuation correction derived from the attenuated Radon transform operator. Finally we present numerical simulations and we discuss the performance of our reconstruction algorithm depending on the choice of several parameters
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Contributor : Elie Nasr <>
Submitted on : Tuesday, June 21, 2011 - 1:54:09 PM
Last modification on : Wednesday, November 29, 2017 - 10:00:14 AM
Long-term archiving on: : Thursday, September 22, 2011 - 2:23:06 AM


  • HAL Id : tel-00602011, version 1



Elie Nasr. Méthodes hilbertiennes pour la correction d'atténuation en Tomographie d'Émission Monophotonique. Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 2008. Français. ⟨tel-00602011⟩



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