Multi-scale Characterization of White Matter Tract Geometry

P. Savadjiev, Y. Rathi, S. Bouix, R. Verma, C.F. Westin
Medical Image Computing and Computer Assisted Intervention
Volume 15, Pages 34 - 41

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The geometry of white matter tracts is of increased interest for a variety of neuroscientific investigations, as it is a feature reflective of normal neurodevelopment and disease factors that may affect it. In this paper, we introduce a novel method for computing multi-scale fibre tract shape and geometry based on the differential geometry of curve sets. By measuring the variation of a curve's tangent vector at a given point in all directions orthogonal to the curve, we obtain a 2D "dispersion distribution function" at that point. That is, we compute a function on the unit circle which describes fibre dispersion, or fanning, along each direction on the circle. Our formulation is then easily incorporated into a continuous scale-space framework. We illustrate our method on different fibre tracts and apply it to a population study on hemispheric lateralization in healthy controls. We conclude with directions for future work.


Savadjiev P, Rathi Y, Bouix S, Verma R, Westin C. Multi-scale characterization of white matter tract geometry. In Medical Image Computing and Computer Assisted Intervention, volume 15. 2012;34 - 41.


P41 EB015902, P41 RR013218, R01 MH074794, R01 MH082918, R01 MH092862

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