Iterative inversion of weighted Radon transforms in 3D

F O Goncharov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We propose iterative inversion algorithms for weighted Radon transforms in 3D. Our results can be considered as extension to 3D of two-dimensional results of Kunyansky (1992), Novikov (2014), Guillement, Novikov (2014). In addition, we generalize our results to the case of dimension n > 3.

Mots clés: weighted Radon transforms; tomography

Domaines: Physique mathématique [math-ph]

F O Goncharov. Iterative inversion of weighted Radon transforms in 3D. 2016. ⟨hal-01405387v1⟩