WIAS Preprint No. 1563, (2010)

Beyond the diffusion tensor model: The package dti


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

2010 Mathematics Subject Classification

  • 62P10 92C55 62H11 62H35 62G05


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




Diffusion weighted imaging is a magnetic resonance based method to investigate tissue micro-structure especially in the human brain via water diffusion. Since the standard diffusion tensor model for the acquired data failes in large portion of the brain voxel more sophisticated models have bee developed. Here, we report on the package dti and how some of these models can be used with the package.

Appeared in

  • J. Statist. Software, 44, issue 12 (2011) pp. 1--26.

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