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Peter Savadjiev, Yogesh Rathi, Sylvain Bouix, Ragini Verma, and Carl-Fredrik Westin. 2012. “Multi-scale characterization of white matter tract geometry”. Med Image Comput Comput Assist Interv, 15, Pt 3, Pp. 34-41.
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.Last updated on 02/24/2023