Title
Structural connectivity analysis using Finsler geometry
Abstract
In this work we demonstrate how Finsler geometry-and specifically the related geodesic tractography-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.
Year
DOI
Venue
2019
10.1137/18M1209428
SIAM JOURNAL ON IMAGING SCIENCES
Keywords
Field
DocType
diffusion MRI,Finsler geometry,connectivity analysis
Diffusion MRI,Finsler manifold,Mathematical analysis,Mathematics,Geodesic
Journal
Volume
Issue
ISSN
12
1
1936-4954
Citations 
PageRank 
References 
0
0.34
0
Authors
7
Name
Order
Citations
PageRank
Tom Dela Haije111.09
Peter Savadjiev214412.06
Andrea Fuster3357.45
Robert T. Schultz429931.91
Ragini Verma501.69
L. M. J. Florack61212210.47
Carl-fredrik Westin72040173.83