Inversion of a new circular-arc Radon transform for Compton tomography

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

A new circular-arc Radon transform arising from the mathematical modeling of image formation in a new modality of Compton scattering tomography is introduced. We describe some of its properties and establish its analytic inverse formula. This result demonstrates the feasibility of image reconstruction from Compton scattered radiation in Compton scattering tomography. We also show that it belongs to a larger class of Radon transforms on algebraic curves, which remain invariant under a specific geometric inversion.

Domaines: Imagerie

M.K. Nguyen, T. T. Truong. Inversion of a new circular-arc Radon transform for Compton tomography. Inverse Problems, 2010, 26, pp.065005. ⟨10.1088/0266-5611/26/6/065005⟩. ⟨hal-00671806⟩