Compton scattered emission imaging based on the V-line Radon transform and its simulation

Rémi Regnier (1) , M.K. Nguyen (1) , T.T. Truong (2)

1 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes
2 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

The Radon transform (RT) on straight lines deals as mathematical foundation for many imaging systems (e.g. X-ray scanner, Positron Emission Tomography) op- erating only with non-scattered (primary) radiation. Using Compton scattered radiation has turned out to be an attractive alternative to conventional emission imaging. In this paper, we propose a new two-dimensional emission imaging from Compton scattered gamma-rays. Its modeling leads to a Radon transform defined on a pair of half-lines forming a vertical letter V (TV). Moreover we establish the analytic inverse formula of this new TV, which forms the mathematical basis for image reconstruction. Through simulations, image formation and reconstruction results show the feasibility and the relevance of this new imaging. The main advantage is to use a one-dimensional non-moving detector for two-dimensional image reconstruction.

Domaines: Imagerie

Rémi Regnier, M.K. Nguyen, T.T. Truong. Compton scattered emission imaging based on the V-line Radon transform and its simulation. EUROSIM 2010 : FEDERATION OF EUROPEAN SIMULATION SOCIETIES, Sep 2010, Czech Republic. ⟨hal-00527123⟩