3D content-based search and retrieval using the 2D polar wavelet transform

In this paper, the 2D polar wavelet transform is proposed for content based search and retrieval of 3D objects. After the decomposition of a 3D object's volume into a set of planes, the 2D polar wavelet transform is applied to each of them, generating a set of 2D rotation invariant features. These features comprise the input to the spherical trace transform for the final descriptor extraction, which is used for the shape matching. The 2D wavelet transform demonstrated experimentally a high discriminative power, as compared to other existing methods.

[1]  Michael G. Strintzis,et al.  3D model search and retrieval based on the spherical trace transform , 2004, IEEE 6th Workshop on Multimedia Signal Processing, 2004..

[2]  Ming Ouhyoung,et al.  On Visual Similarity Based 3D Model Retrieval , 2003, Comput. Graph. Forum.

[3]  Thomas A. Funkhouser,et al.  The Princeton Shape Benchmark , 2004, Proceedings Shape Modeling Applications, 2004..

[4]  Y. Meyer,et al.  Wavelets and Filter Banks , 1991 .

[5]  Michael G. Strintzis,et al.  Efficient 3-D model search and retrieval using generalized 3-D radon transforms , 2006, IEEE Transactions on Multimedia.

[6]  Dejan V. VraniC.  An improvement of rotation invariant 3D-shape based on functions on concentric spheres , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[7]  Szymon Rusinkiewicz,et al.  Rotation Invariant Spherical Harmonic Representation of 3D Shape Descriptors , 2003, Symposium on Geometry Processing.

[8]  Chi-Man Pun,et al.  Log-Polar Wavelet Energy Signatures for Rotation and Scale Invariant Texture Classification , 2003, IEEE Trans. Pattern Anal. Mach. Intell..