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

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 algorithm 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.

• Type: Conference
• Year: 2009
• Where: IPMI
• Authors: Radhouène Neji, Ahmed Besbes, Nikos Komodakis, Jean Francois Deux, Mezri Maatouk, Alain Rahmouni, Guillaume Bassez, Gilles Fleury, Nikos Paragios
• Keywords: Geodesic Distances, Human Skeletal Muscle, IPMI 2009, Manifold Clustering Method, Medical Imaging