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Abstract #0975

Towards quantification of the brain's sheet structure: Evaluation of the discrete Lie bracket

Chantal M.W. Tax 1 , Tom C.J. Dela Haije 2 , Andrea Fuster 2 , Remco Duits 2 , Max A. Viergever 1 , Luc M.J. Florack 2 , and Alexander Leemans 1

1 Image Sciences Institute, University Medical Center Utrecht, Utrecht, Utrecht, Netherlands, 2 Imaging Science & Technology, Eindhoven University of Technology, Eindhoven, Noord-Brabant, Netherlands

Recently, a debate in literature discussed the possibility of the cerebral pathways being organized in a grid structure of interwoven sheets. To prove or disprove this statement, a more quantitative evaluation is needed. In this work, we evaluate the capability of the discrete Lie bracket proposed in Wedeen (2012a) to quantify sheet structure as a function of noise and voxel size. On simulated vector fields, we show that this Lie bracket is indeed capable of distinguishing sheet structured from non-sheet structured vector fields within certain limits for noise and voxel size.

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