Similarity detection of 3D meshes using 2D hierarchical regular grids

The paper presents a study on similarity detection of different 3D meshes. Our method consists of three steps. First, 3D meshes are aligned by PCA such that all of them have a same principal axis. Each rotated surface is approximated by a deformed cylinder with regular grids. Then we compare the distances by calculating their correlation. These steps are done in a hierarchical fashion. We demonstrate with examples that the proposed method can detect the similarity precisely and easily.