Reflective filtered backprojection

Jean-Baptiste Bellet (1) , Gérard Berginc (2)

1 IECL - Institut Élie Cartan de Lorraine
2 Thalès Optronique

This note introduces reflective tomography in a mathematical framework. The effect of the filtered backprojection on reflective-kind projections is studied: a reflective projection is defined, tomographic filtering of such a projection is analysed, and so is the filtered backprojection. The results emphasize the role of the contrasts: we get a decomposition in which the contributions of the discontinuities and of the tangential variations are enlightened.

Domaines: Traitement du signal et de l'image [eess.SP]

Jean-Baptiste Bellet, Gérard Berginc. Reflective filtered backprojection. Comptes Rendus. Mathématique, 2016, 354 (9), pp.960-964. ⟨10.1016/j.crma.2016.07.011⟩. ⟨hal-01202974v2⟩