A Majorize-Minimize memory gradient algorithm applied to X-ray tomography

Emilie Chouzenoux 1 Fiona Zolyniak 1 Emmanuelle Gouillart 2 Hugues Talbot 1
1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 SVI - Surface du Verre et Interfaces
Abstract : Some recent efforts on image restoration have been extended to tomographic reconstruction methods with a-priori information so that situations with higher amounts of noise or lesser amounts of projections could be better dealt with. This paper deals with the reconstruction of a two- or three-dimensional image from a small set of tomographic projections (i.e. a small number of projection angles). We adopt a variational reconstruction approach, with smooth regularization on the image gradient for reconstruction. The Majorize-Minimize Memory Gradient algorithm is our proposed solution for the optimization problem. The performance of the proposed strategy is illustrated through synthetic and real image reconstruction examples. The reconstruction error is investigated for convex and non-convex penalization strategies, as a function of the number of tomographic measurements and the noise level. The non-convex approach turns out to be more efficient in the case of binary images. In contrast, convex penalization seems to give better results for multi-label or natural images.
Keywords : Reconstruction Segmentation Image restoration Optimization Spatial Regularization Discrete Tomography
Document type :
Conference papers
Liste complète des métadonnées
https://hal.archives-ouvertes.fr/hal-00797899
Contributor : Emilie Chouzenoux <>
Submitted on : Thursday, March 7, 2013 - 3:05:22 PM
Last modification on : Tuesday, March 26, 2019 - 1:29:58 AM

Identifiers

  • HAL Id : hal-00797899, version 1

Collections

LIGM_A3SI | LIGM_SIGNAL | UNIV-MLV | LIGM | PARISTECH | ENPC | UPEC-UPEM | ESIEE-PARIS | SVI | SORBONNE-UNIVERSITE | SU-SCIENCES

Citation

Emilie Chouzenoux, Fiona Zolyniak, Emmanuelle Gouillart, Hugues Talbot. A Majorize-Minimize memory gradient algorithm applied to X-ray tomography. International Conference on Tomography of Materials and Structures, Jul 2013, Gent, Germany. 〈hal-00797899〉

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

299

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD