Abstract
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.
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Savadjiev, P., Rathi, Y., Bouix, S., Verma, R., Westin, CF. (2012). Multi-scale Characterization of White Matter Tract Geometry. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. MICCAI 2012. Lecture Notes in Computer Science, vol 7512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33454-2_5
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DOI: https://doi.org/10.1007/978-3-642-33454-2_5
Publisher Name: Springer, Berlin, Heidelberg
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