Structural connectivity analysis using Finsler geometry

Tom Dela Haije, Peter Savadjiev, Andrea Fuster, Robert T. Schultz, Ragini Verma, Luc Florack, Carl-Fredrik Westin

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Abstract

In this work we demonstrate how Finsler geometry---and specifically the related geodesic tracto-graphy---can be levied to analyze structural connections between different brain regions. We present new theoretical developments which support the definition of a novel Finsler metric and associated connectivity measures, based on closely related works on the Riemannian framework for diffusion MRI. Using data from the Human Connectome Project, as well as population data from an autism spectrum disorder study, we demonstrate that this new Finsler metric, together with the new connectivity measures, results in connectivity maps that are much closer to known tract anatomy compared to previous geodesic connectivity methods. Our implementation can be used to compute geodesic distance and connectivity maps for segmented areas and is publicly available.
Original languageEnglish
Pages (from-to)551-575
Number of pages25
JournalSIAM Journal on Imaging Sciences
Volume12
Issue number1
DOIs
Publication statusPublished - 2019

Keywords

  • Connectivity analysis
  • Diffusion MRI
  • Finsler geometry

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