Inversion of a new V-line Radon transform and its numerical analysis

M.K. Nguyen (1) , Rémi Regnier (1)

1 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes

A new Radon transform defined on a discontinuous curve formed by a pair of half-lines forming a letter V is defined and studied. We establish its analytic inverse formula, its related filtered back-projection reconstruction procedure and its numerical analysis. These theoretical results allow the reconstruction of two-dimensional images of a radiating object from its Compton scattered rays measured on a one-dimensional collimated camera. Numerical simulations results illustrate the performance of the new imaging process.

Domaines: Imagerie

M.K. Nguyen, Rémi Regnier. Inversion of a new V-line Radon transform and its numerical analysis. ICNAAM 2010 : International Conference of Numerical Analysis and Applied Mathematics, Sep 2010, Rhodes, Greece. ⟨hal-00527128⟩