A variational method for tomographic reconstruction with few views

Isabelle Abraham (1) , Romain Abraham (2) , Maïtine Bergounioux (2)

1 DSSI - Département des Sciences de la Simulation et de l'Information
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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 present a variational model and numerical analysis. We use a modified Nesterov algorithm to compute the solution. Numerical results are presented.

Mots clés: Inverse problem; Tomography; Variational model

Domaines: Optimisation et contrôle [math.OC]; Traitement des images [eess.IV]

Isabelle Abraham, Romain Abraham, Maïtine Bergounioux. A variational method for tomographic reconstruction with few views. 2012. ⟨hal-00697218v2⟩