ISBI 2006: IEEE 2006 International Symposium on Biomedical Imaging, April 6-9, 2006, Crystal Gateway Marriott, Arlington, Virginia, U.S.A.

Technical Program

Paper Detail

Paper:TH-PM-PS2.5
Session:Diffusion Tensor Imaging
Time:Thursday, April 6, 15:20 - 16:40
Presentation: Poster
Title: Von Mises-Fisher Mixture Model of the Diffusion ODF
Authors: Tim McGraw; West Virginia University 
 Baba C. Vemuri; University of Florida 
 Bob Yezierski; University of Florida 
 Thomas H. Mareci; University of Florida 
Abstract: High angular resolution diffusion imaging (HARDI) permits the computation of water molecule displacement probabilities over the sphere. This probability is often referred to as the orientation distribution function (ODF). In this paper we describe a novel model for the diffusion ODF : a mixture of von Mises-Fisher (vMF) distributions. Our model is compact in that it requires very few variables to model complicated ODF geometries which occur specifically in the presence of heterogeneous nerve fiber orientation. We will present a Riemannian geometric framework for computing intrinsic distances, in closed-form, and performing interpolation between ODFs represented by vMF mixtures. We also present closed-form equations for entropy and variance based anisotropy measures.



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