Fiche publication
Date publication
mai 2005
Journal
IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
Auteurs
Membres identifiés du Cancéropôle Est :
Pr HEITZ Fabrice
,
Dr NOBLET Vincent
Tous les auteurs :
Noblet V, Heinrich C, Heitz F, Armspach JP
Lien Pubmed
Résumé
This paper deals with topology preservation in three-dimensional (3-D) deformable image registration. This work is a nontrivial extension of, which addresses the case of two-dimensional (2-D) topology preserving mappings. In both cases, the deformation map is modeled as a hierarchical displacement field, decomposed on a multiresolution B-spline basis. Topology preservation is enforced by controlling the Jacobian of the transformation. Finding the optimal displacement parameters amounts to solving a constrained optimization problem: The residual energy between the target image and the deformed source image is minimized under constraints on the Jacobian. Unlike the 2-D case, in which simple linear constraints are derived, the 3-D B-spline-based deformable mapping yields a difficult (until now, unsolved) optimization problem. In this paper, we tackle the problem by resorting to interval analysis optimization techniques. Care is taken to keep the computational burden as low as possible. Results on multipatient 3-D MRI registration illustrate the ability of the method to preserve topology on the continuous image domain.
Mots clés
Algorithms, Artificial Intelligence, Brain, anatomy & histology, Computer Simulation, Humans, Image Enhancement, methods, Image Interpretation, Computer-Assisted, methods, Imaging, Three-Dimensional, methods, Information Storage and Retrieval, methods, Magnetic Resonance Imaging, Models, Biological, Models, Statistical, Numerical Analysis, Computer-Assisted, Pattern Recognition, Automated, methods, Reproducibility of Results, Sensitivity and Specificity, Subtraction Technique
Référence
IEEE Trans Image Process. 2005 May;14(5):553-66
