Clustering of the Human Skeletal Muscle Fibers Using Linear Programming and Angular Hilbertian Metrics

Radhouène Neji 1, 2, 3, * Ahmed Besbes 2, 3 Nikos Komodakis 4 Mezri Maatoouk 5 Jean-François Deux 5 Alain Rahmouni 5 Guillaume Bassez 5 Gilles Fleury 1 Nikolaos Paragios 2, 3
* Corresponding author
1 E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
2 MAS - Mathématiques Appliquées aux Systèmes - EA 4037
3 GALEN - Organ Modeling through Extraction, Representation and Understanding of Medical Image Content
Ecole Centrale Paris, Inria Saclay - Ile de France
4 CSD-UOC - Computer Science Department [Crete]
5 Hôpital Henri Mondor
Abstract : In this paper, we present a manifold clustering method for the classification of fibers obtained from diffusion tensor images (DTI) of the human skeletal muscle. Using a linear programming formulation of prototype-based clustering, we propose a novel fiber classification algo-rithm over manifolds that circumvents the necessity to embed the data in low dimensional spaces and determines automatically the number of clusters. Furthermore, we propose the use of angular Hilbertian metrics between multivariate normal distributions to define a family of distances between tensors that we generalize to fibers. These metrics are used to approximate the geodesic distances over the fiber manifold. We also discuss the case where only geodesic distances to a reduced set of landmark fibers are available. The experimental validation of the method is done using a manually annotated significant dataset of DTI of the calf muscle for healthy and diseased subjects.
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Conference papers
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Contributor : Karine El Rassi <>
Submitted on : Friday, October 16, 2009 - 3:40:42 PM
Last modification on : Monday, July 1, 2019 - 4:54:03 PM
Long-term archiving on : Wednesday, June 16, 2010 - 12:50:06 AM

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Radhouène Neji, Ahmed Besbes, Nikos Komodakis, Mezri Maatoouk, Jean-François Deux, et al.. Clustering of the Human Skeletal Muscle Fibers Using Linear Programming and Angular Hilbertian Metrics. 21st International Conference on Information Processing in Medical Imaging, Jul 2009, Williamsburg (Virginia), United States. pp.14-25. ⟨hal-00424532⟩

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