Spherical Wavelet Descriptors for Content-based 3D Model Retrieval

The description of 3D shapes with features that possess descriptive power and invariant under similarity transformations is one of the most challenging issues in content based 3D model retrieval. Spherical harmonics-based descriptors have been proposed for obtaining rotation invariant representations. However, spherical harmonic analysis is based on latitude-longitude parameterization of a sphere which has singularities at each pole. Consequently, features near the two poles are over represented while features at the equator are under-sampled, and variations of the north pole affects significantly the shape function. In this paper we discuss these issues and propose the usage of spherical wavelet transform as a tool for the analysis of 3D shapes represented by functions on the unit sphere. We introduce three new descriptors extracted from the wavelet coefficients, namely: (1) a subset of the spherical wavelet coefficients, (2) the L1 and, (3) the L2 energies of the spherical wavele...

• Type: Conference
• Year: 2006
• Where: SMI
• Authors: Hamid Laga, Hiroki Takahashi, Masayuki Nakajima
• Keywords: Rotation Invariant Representation, SMI 2006, Spherical Harmonics-based Descriptors, Spherical Wavelets