Structural Connectome Atlas Construction in the Space of Riemannian Metrics

• URL: http://arxiv.org/abs/2103.05730v1
• Date: Tue, 9 Mar 2021 21:46:02 GMT
• Title: Structural Connectome Atlas Construction in the Space of Riemannian Metrics
• Authors: Kristen M. Campbell (1), Haocheng Dai (1), Zhe Su (2), Martin Bauer (3), P. Thomas Fletcher (4), Sarang C. Joshi (1 and 5) ((1) Scientific Computing and Imaging Institute, University of Utah, (2) Department of Neurology, University of California Los Angeles, (3) Department of Mathematics, Florida State University, (4) Electrical & Computer Engineering, University of Virginia, (5) Department of Bioengineering, University of Utah)
• Abstract summary: We analyze connectomes as points in an infinite-dimensional manifold using the Ebin metric. We demonstrate connectome registration and atlas formation using connectomes derived from diffusion tensors estimated from a subset of subjects from the Human Connectome Project.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The structural connectome is often represented by fiber bundles generated from various types of tractography. We propose a method of analyzing connectomes by representing them as a Riemannian metric, thereby viewing them as points in an infinite-dimensional manifold. After equipping this space with a natural metric structure, the Ebin metric, we apply object-oriented statistical analysis to define an atlas as the Fr\'echet mean of a population of Riemannian metrics. We demonstrate connectome registration and atlas formation using connectomes derived from diffusion tensors estimated from a subset of subjects from the Human Connectome Project.

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