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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