Tomographic reconstruction from a few views: a multi-marginal optimal transport approach

Isabelle Abraham (1) , Romain Abraham (2) , Maïtine Bergounioux (2) , Guillaume Carlier (3)

1 DSSI - Département des Sciences de la Simulation et de l'Information
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

In this article, we focus on tomographic reconstruction. The problem is to determine the shape of the interior interface using a tomographic approach while very few X-ray radiographs are performed. We use a multi-marginal optimal transport approach. Preliminary numerical results are presented.

Mots clés: tomographic reconstruction; multi-marginal optimal transport

Domaines: Optimisation et contrôle [math.OC]

Isabelle Abraham, Romain Abraham, Maïtine Bergounioux, Guillaume Carlier. Tomographic reconstruction from a few views: a multi-marginal optimal transport approach. 2014. ⟨hal-01065981v1⟩