3D Normalization Based on the Barycentric Coordinates

The most common technique in the normalization of 3D objects is the Principal Component Analysis (PCA). However, it is well known that the principal axes generated by the PCA may be different for similar shapes. To overcome the limitations of the PCA we propose in this paper a normalization method to give robustness to remeshing, rotations and reflections of meshed 3D objects. This method is based on the integration of the mesh volume, the use of barycentric coordinates and the CPCA (Continuous Principal Component Analysis).