Abstract
In this paper, a novel method is presented, which detects symmetry axes for multi-object. It uses vertical line detection method in local polar coordinate. The approach costs little computation and can get efficient results, which means that it can be used in database applications.
Supported by National Natural Science Foundation (No.40627001) and the 985 Innovation Project on Information Technique of Xiamen University (2004-2008).
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References
Grunbaum, B., Shephard, G.C.: Tilings and Patterns. W.H.Freeman and Company, New York (1987)
Atallah, M.J.: On Symmetry Detection. IEEE Transactions on Computers c-34(7) (July 1985)
Marola, G.: On the Detection of the Axes of Symmetry of Symmetric and Almost Symmetric Planar Images. IEEE Trans on PAMI 11(1), 104–108 (1989)
Zabrodsky, H., Peleg, S., Avnir, D.: Symmetry as a Continuous Feature. IEEE Transactions on Pattern Analysis and Machine Intelligence 17(12) (December 1995)
Reisfeld, D., Wolfson, H., Yeshurun, Y.: Context-free attentional operators: The generalized symmetry transform. IJCV 14(2), 119–130 (1995)
Gofman, Y., Kiryati, N.: Detecting Symmetry in Grey Level Images: The Global Optimization Approach. In: Proceeding of ICPR (1996)
Sun, C., Sherrah, J.: 3D Symmetry Detection Using The Extended Gaussian Image. IEEE Transactions on Pattern Analysis and Machine Intelligence 19(2) (February 1997)
Kovesi, P.: Symmetry and Asymmetry From Local Phase. In: Sattar, A. (ed.) Canadian AI 1997. LNCS, vol. 1342, pp. 2–4. Springer, Heidelberg (1997)
Imiya, A., Ueno, T., Fermin, I.: Symmetry Detection by Random Sampling and Voting Process. In: 10th International Conference on Image Analysis and Processing, Italy, Venice, pp. 400–405 (1999)
Sun, C., Si, D.: Fast Reflectional Symmetry Detection Using Orientation Histograms. Real-Time Imaging 5, 63–74 (1999)
Yang, Q., Ding, X.: Symmetrical PCA in Face Recognition. In: IEEE ICIP (2002)
Shiv Naga Prasad, V., Yegnanarayana, B.: Finding Axes of Symmetry From Potential Fields. IEEE Transaction on Image Processing 13(12) (December 2004)
He, J., Li, M., Zhang, H.-J., Tong, H., Zhang, C.: Automatic peak number detection in image symmetry analysis. In: Aizawa, K., Nakamura, Y., Satoh, S. (eds.) PCM 2004. LNCS, vol. 3333, pp. 111–118. Springer, Heidelberg (2004)
Wu, J., Yang, Z.: Detecting Image Symmetry Basedon Phase Information. In: Proceedings of the Fourth International Conference on Machine Learning and Cybernetics, Guangzhou, August 2005, pp. 18–21 (2005)
Thrun, S., Wegbreit, B.: Shape From Symmetry. In: Proceedings of the Tenth IEEE International Congerence on Computer Vision (ICCV) (2005)
Keller, Y., Shkolnisky, Y.: A Signal Processing Approach to Symmetry Detection. IEEE Transactions on Image Processing 15(8) (August 2006)
Loy, G., Eklundh, J.-O.: Detecting symmetry and symmetric constellations of features. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 508–521. Springer, Heidelberg (2006)
Mitra, N.J., Guibas, L.J., Pauly, M.: Partial and Approximate Symmetry Detection for 3D Geometry. In: Proceedings of ACM SIGGRAPH 2006 (2006)
Podolak, J., et al.: A Planar-Reflective Symmetry Transform for 3D Shapes. In: Proceedings of ACM SIGGRAPH 2006 (2006)
Podolak, J., Golovinskiy, A., Rusinkiewicz, S.: Symmetry-Enhanced Remeshing of Surfaces. In: Eurographics Symposium on Geometry Processing (2007)
Golovinskiy, A., Podolak, J., Funkhouser, T.: Symmetry-Aware Mesh Processing, Princeton University TR-782-07 (April 2007)
Mitra, N.J., Guibas, L.J., Pauly, M.: Symmetrization. In: ACM SIGGRAPH 2007 (2007)
Tzimiropoulos, G., Stathaki, T.: Symmetry Detection Using Frequency Domain Motion Estimation Techniques. In: Acoustics, Speech and Signal Processing 2008 (2008)
Gong, Y., et al.: A Novel Symmetry Detection Method for Images and Its application for Motion Deblurring. In: MMIT 2008 (2008)
Xiao, Z., Wu, J.: Analysis on Image Symmetry Detection Algorithms. In: Fourth International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2007 (2007)
Park, M., et al.: Performance Evaluation of State-of-the-Art Discrete Symmetry Detection Algorithms. In: CVPR 2008 (2008)
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Gong, Y., Wang, Q., Yang, C., Gao, Y., Li, C. (2009). Symmetry Detection for Multi-object Using Local Polar Coordinate. In: Jiang, X., Petkov, N. (eds) Computer Analysis of Images and Patterns. CAIP 2009. Lecture Notes in Computer Science, vol 5702. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03767-2_34
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DOI: https://doi.org/10.1007/978-3-642-03767-2_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03766-5
Online ISBN: 978-3-642-03767-2
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