A Sheet Probability Index from Diffusion Tensor Imaging

  • Michael Ankele
  • Thomas Schultz
Conference paper
Part of the Mathematics and Visualization book series (MATHVISUAL)


A sheet probability index (SPI) has recently been derived from high angular resolution diffusion MRI to quantify the hypothesis that white matter tracts are organized in parallel sheets of interwoven paths. In this work, we derive the DTI-SPI, a variant of the SPI that can be computed from the widely available, simple, and fast diffusion tensor imaging, by considering the normal component of the Lie bracket of the major and medium eigenvector fields. We observe that, despite the fact that DTI does not allow us to infer crossing fiber orientations, the DTI-SPI has a meaningful interpretation in terms of sheet structure if the largest pair of eigenvectors spans the same plane as the two dominant fibers. We report empirical results that support this assumption. We also show a direct comparison to the previously proposed SPI on data from the human connectome project, and demonstrate that major features in maps of our DTI-SPI remain recognizable in standard clinical DTI data.



This work was supported by the DFG under grant SCHU 3040/1-1. Data were provided by Tobias Schmidt-Wilcke (St. Mauritius Hospital, Meerbusch, Germany) and by the Human Connectome Project, WU-Minn Consortium (Principal Investigators: David Van Essen and Kamil Ugurbil; 1U54MH091657) funded by the 16 NIH Institutes and Centers that support the NIH Blueprint for Neuroscience Research; and by the McDonnell Center for Systems Neuroscience at Washington University.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.University of BonnBonnGermany

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