A Bayesian Framework for Joint Morphometry of Surface and Curve meshes in Multi-Object Complexes

Abstract : We present a Bayesian framework for atlas construction of multi-object shape complexes comprised of both surface and curve meshes. It is general and can be applied to any parametric deformation framework and to all shape models with which it is possible to define probability density functions (PDF). Here , both curve and surface meshes are modelled as Gaussian random varifolds , using a finite-dimensional approximation space on which PDFs can be defined. Using this framework , we can automatically estimate the parameters balancing data-terms and deformation regularity , which previously required user tuning. Moreover , it is also possible to estimate a well-conditioned covariance matrix of the deformation parameters. We also extend the proposed framework to data-sets with multiple group labels. Groups share the same template and their deformation parameters are modelled with different distributions. We can statistically compare the groups ' distributions since they are defined on the same space. We test our algorithm on 20 Gilles de la Tourette patients and 20 control subjects , using three sub-cortical regions and their incident white matter fiber bundles. We compare their morphological characteristics and variations using a single diffeomorphism in the ambient space. The proposed method will be integrated with the Deformetrica software package, publicly available at www. deformetrica. org .
Type de document :
Article dans une revue
Medical Image Analysis, Elsevier, 2017, 35, pp.458-474. 〈10.1016/j.media.2016.08.011〉
Liste complète des métadonnées

Littérature citée [49 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/hal-01359423
Contributeur : Pietro Gori <>
Soumis le : vendredi 2 septembre 2016 - 12:24:28
Dernière modification le : vendredi 16 novembre 2018 - 02:20:34
Document(s) archivé(s) le : lundi 5 décembre 2016 - 01:15:26

Fichier

Articolo_Bayesian_LAST.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Pietro Gori, Olivier Colliot, Linda Marrakchi-Kacem, Yulia Worbe, Cyril Poupon, et al.. A Bayesian Framework for Joint Morphometry of Surface and Curve meshes in Multi-Object Complexes. Medical Image Analysis, Elsevier, 2017, 35, pp.458-474. 〈10.1016/j.media.2016.08.011〉. 〈hal-01359423〉

Partager

Métriques

Consultations de la notice

2202

Téléchargements de fichiers

455