Weighted Radon transforms for which the Chang approximate inversion formula is precise

Roman Novikov (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We describe all weighted Radon transforms on the plane for which the Chang approximate inversion formula is precise. Some subsequent results, including the Cormack type inversion for these transforms, are also given.

Mots clés: Weighted Radon transform; Chang formula; SPECT

Domaines: Analyse fonctionnelle [math.FA]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Roman Novikov. Weighted Radon transforms for which the Chang approximate inversion formula is precise. 2011. ⟨hal-00553695v1⟩