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.

翻译：结构连接体通常由不同类型地形学产生的纤维捆绑来代表。 我们提出一种分析连接体的方法,将它们作为里曼尼度量法来代表,从而将它们看成是无限多维的点。 在用自然测量结构Ebin度法为这一空间配备了自然测量结构后,我们应用了面向目标的统计分析,将一个地图集定义为里曼尼度法人群的Fr\'echet平均值。我们用从人类连接体项目的一个子元素中估计的散射粒粒子产生的连接体注册和地图组形成。