A penalization approach for tomographic reconstruction of binary axially symmetric objects

Romain Abraham (1) , Maïtine Bergounioux (1) , Emmanuel Trélat (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

We propose a variational method for tomographic reconstruction of blurred and noised binary images based on a penalization process of a minimization problem settled in the space of bounded variation functions. We prove existence and/or uniqueness results and derive a penalized optimality system. Numerical simulations are provided to demonstrate the relevance of the approach.

Mots clés: Tomography; Optimization; Penalization

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

Romain Abraham, Maïtine Bergounioux, Emmanuel Trélat. A penalization approach for tomographic reconstruction of binary axially symmetric objects. Applied Mathematics and Optimization, 2008, 58 (3), pp.345-371. ⟨10.1007/s00245-008-9039-8⟩. ⟨hal-00139494v2⟩