Partial Shape Matching of 3D Models Based on the Laplace-Beltrami Operator Eigenfunction

The comparison and matching based on partial description of the 3D model is the current focus of study in the shape analysis. The partial description based on the eigenfunction of the Laplace-Beltrami operator is an important way. A large number of eigenfunction values of any point on the surface of the model form a eigenvector; based on this vector, K-means clustering method will be used to query the model which is divided into several regions; for each region, based on the Hungarian method which is used in the solving of optimal assignment problem, search a corresponding region in the compared model, so that achieving the partial matching between the two models.