Statistical mesh distributions for 3D object topology

In this paper we introduce several statistical distributions to analyze the topological properties of 3D graphics. The proposed statistical measures include the mesh degree, the mesh assortativity, the mesh clustering coefficient, and the mesh geodesic distance distributions. These probabilistic distributions provide useful information about the way 3D mesh models are connected. Illustrating experimental results show the effectiveness of the proposed measures in quantifying the topological features of 3D objects.