Projected Area Based 3D Shape Similarity Evaluation

Because the appearance of 3D objects changes according to viewing directions, it is not easy to evaluate similarity between two objects in a few appearances In this paper we propose similarity measure between two shapes of 3D objects The feature of a shape is represented by a distribution of a projected area on a unit sphere, and the distribution is expanded in spherical harmonics The degree of similarity between several kinds of shape is calculated and is compared with human sense The results of computer simulation demonstrate the validity of our method.

[1]  Berthold K. P. Horn.  Robot vision , 1986, MIT electrical engineering and computer science series.

[2]  Dietmar Saupe,et al.  3D Model Retrieval with Spherical Harmonics and Moments , 2001, DAGM-Symposium.

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

[4]  Mutsuo Sano,et al.  3D object representation using spherical harmonic functions , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).

[5]  David P. Dobkin,et al.  A search engine for 3D models , 2003, TOGS.

[6]  Karthik Ramani,et al.  Three-dimensional shape searching: state-of-the-art review and future trends , 2005, Comput. Aided Des..

[7]  Y. J. Tejwani,et al.  Robot vision , 1989, IEEE International Symposium on Circuits and Systems,.

[8]  J. Proriol.  Definition of New 3D Invariants -- Applications to Pattern Recognition Problems with Neural Networks , 1996, Int. J. Neural Syst..