Retrieval Methods of 3 D Model Based on Weighted Spherical Harmonic Analysis ⋆

Feature extraction is a key technology in the process of the 3D model retrieval, and the retrieval result is determined by the quality of the features. This paper structures one function (θ, φ,H) which is used the spatial position (θ, φ) and the mean curvature (H) of the 3D model surface point. Through making harmonic analysis for the function, a group of partial features which have rotation invariance are obtained. And then taking advantage of the entire features which are weighted by the distance from the surface points to the model barycenter, a new group of feature vectors are obtained. So the new features obtain both partial and entire features. The experimental results show that using the new features are better than only using partial or entire features in the recalling ratio and precision ratio.