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| 3D PolarRadiusInvariantMoments and Their Application to 3D Model Retrieval |
| LI ZongMin1,2,3,YU GuangBin1, LIU YuJie1,2,3, LI Hua2 |
1.School of Computer Science and Communication Engineering, China University of Petroleum, Dongying 257061
2.The Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100080
3.Graduate School, Chinese Academy of Sciences, Beijing 100039 |
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Abstract A novel moment, 3D polarradiusinvariantmoment, is proposed for the 3D object recognition and classification. Some properties of the new moments including the invariance on shift, rotation and scale transforms are studied and proved. Eighteen moment invariants are derived and tested. Examples are presented to illustrate the performance and invariance of these moments. With the help of these moment invariants, the 3D models are distinguished accurately.
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Received: 15 November 2004
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[1] Arbter K, Snyder W E, Burkhardt H, Hirzinger G. Application of Affine-Invariant Fourier Descriptors to Recognition of 3D Objects. IEEE Trans on Pattern Analysis and Machine Intelligence, 1990, 12(7): 640-647
[2] Hu M K. Visual Pattern Recognition by Moment Invariants. IEEE Trans on Information Theory, 1962, 8: 179-187
[3] Elad M, Milanfar P, Golub G. Shape from Moments-An Estimation Theory Perspective. IEEE Trans on Signal Processing, 2004, 52(7): 1814-1829
[4] Teague M. Image Analysis via the General Theory of Moments. Journal of the Optical Society of America, 1980, 70(8): 920-930
[5] Arkin E M, Chew L P, Huttenlocher D P, Kedem K, Mitchell J S B. An Efficiently Computable Metric for Comparing Polygonal Shapes. IEEE Trans on Pattern Analysis and Machine Intelligence, 1991, 13(3): 209-216
[6] Young I T, Walker J E, Bowie J E. An Analysis Technique for Biological Shape. Information and Control, 1974, 25(4): 357-370
[7] Horn B K P. Extended Gaussian Images. Proc of the IEEE, 1984, 72(12): 1671-1686
[8] Saupe D, Vranic D V. 3D Model Retrieval with Spherical Harmonics and Moments. In: Proc of the 23th DAGM Symposium on Pattern Recognition. Munich, Germany, 2001, 392-397
[9] Robert O, Thomas F, Bernard C, David D. Shape Distribution. ACM Trans on Graphics, 2002, 21(4): 807-832
[10] Derrode S, Ghorbel F. Robust and Efficient Fourier-Mellin Transform Approximations for Gray-Level Image Reconstruction and Complete Invariant Description. Computer Vision and Image Understanding, 2001, 83(1): 57-78
[11] Cao M Y, Sun N L, Yu D Y. Polar-Radius-Invariant-Moment for Pattern Recognition. Chinese Journal of Computers, 2004, 27(6): 860-864 (in Chinese)
(曹茂永,孙农亮,郁道银.用于模式识别的极半径不变矩.计算机学报, 2004, 27(6): 860-864)
[12] Novotni M, Klein R. Shape Retrieval Using 3D Zernike Descriptors. Computer Aided Design, 2004, 36(11): 1047-1062 |
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2006, Vol. 19 
