WIAS Preprint No. 1559, (2010)

Modeling the orientation distribution function by mixtures of angular central Gaussian distributions


  • Tabelow, Karsten
    ORCID: 0000-0003-1274-9951
  • Voss, Henning U.
  • Polzehl, Jörg
    ORCID: 0000-0001-7471-2658

2010 Mathematics Subject Classification

  • 62P10 92C55 62H11 62H35 62G05


  • diffusion weighted imaging, high angular resolution, orientation distribution function, angular central Gaussian distribution, tensor mixture model, order selection




In this paper we develop a tensor mixture model for diffusion weighted imaging data using an automatic model selection criterion for the order of tensor components in a voxel. We show that the weighted orientation distribution function for this model can be expanded into a mixture of angular central Gaussian distributions. We show properties of this model in extensive simulations and in a high angular resolution experimental data set. The results suggest that the model may improve imaging of cerebral fiber tracts. We demonstrate how inference on canonical model parameters may give rise to new clinical applications.

Appeared in

  • J. Neurosci. Meth., 203 (2012) pp. 200--211.

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