  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.
