A Comprehensive Riemannian Framework for the Analysis of White Matter Fiber Tracts

Meena Mani 1 Sebastian Kurtek 2 Christian Barillot 1, * Anuj Srivastava 3
* Corresponding author
1 VisAGeS - Vision, Action et Gestion d'informations en Santé
INSERM - Institut National de la Santé et de la Recherche Médicale : U746, Inria Rennes – Bretagne Atlantique , IRISA-D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE
2 Dept. of Stat., Florida State Univ., Tallahassee, FL, USA
Department of Statistics [Tallahassee, FL]
3 Dept. of Statistics, Tallahassee, FL
Department of Statistics [Tallahassee, FL]
Abstract : A quantitative analysis of white matter fibers is based on different physical features (shape, scale, orientation and position) of the fibers, depending on the specific application. Due to the different properties of these features, one usually designs different metrics and spaces to treat them individually. We propose a comprehensive Riemannian framework that allows for a joint analysis of these features in a consistent manner. For each feature combination, we provide a formula for the distance, i.e. quantification of differences between fibers and a formula for geodesics, i.e. optimal deformations of fibers into each other. We illustrate this framework in the context of clustering fiber tracts from the corpus callosum and study the results from different combinations of features.
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Meena Mani, Sebastian Kurtek, Christian Barillot, Anuj Srivastava. A Comprehensive Riemannian Framework for the Analysis of White Matter Fiber Tracts. IEEE-ISBI, Apr 2010, Rotterdam, Netherlands. pp.1101- 1104, ⟨10.1109/ISBI.2010.5490185⟩. ⟨inserm-00723805⟩

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