Filtered stochastic optimization for binary tomography

L. Wang (1) , B. Sixou (2) , Françoise Peyrin (2, 3)

1 MOTIVATE - Imagerie et modélisation Vasculaires, Thoraciques et Cérébrales
2 Imagerie Tomographique et Radiothérapie
3 ESRF - European Synchrotron Radiation Facility

In this work, we use stochastic diffusion equations to improve the reconstruction of binary tomography cross-sections obtained from a small number of projections. A first reconstruction image is obtained with the Total Variation regularization method. The reconstruction is then refined with stochastic approaches. This method is applied to a noisy bone cross-section with 10 projection angles. The main purpose of this work is to show the improvements obtained with a filter taking into account wavefront set properties of the Radon transform.

Mots clés: Total Variation (TV); X-ray imaging; stochastic methods; binary tomography; Inverse Problems

Domaines: Traitement du signal et de l'image [eess.SP]

L. Wang, B. Sixou, Françoise Peyrin. Filtered stochastic optimization for binary tomography. 2015 IEEE 12th International Symposium on Biomedical Imaging (ISBI), Apr 2015, New-York, United States. pp.1604 - 1607, ⟨10.1109/ISBI.2015.7164187⟩. ⟨hal-01285080⟩