• Chinese Optics Letters
  • Vol. 14, Issue 9, 091001 (2016)
Kejia Wang1、2, Ziliang Ping3、4, and Yunlong Sheng1、*
Author Affiliations
  • 1Center for Optics, Photonics and Lasers, Department of Physics, Physical Engineering and Optics, Laval University, Quebec G1V0A6, Canada
  • 2Inner Mongolia Electronic Information Vocational Technical College, Huhhot 010070, China
  • 3School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 4Inner Mongolia Normal University, Huhhot 010020, China
  • show less
    DOI: 10.3788/COL201614.091001 Cite this Article Set citation alerts
    Kejia Wang, Ziliang Ping, Yunlong Sheng. Development of image invariant moments—a short overview[J]. Chinese Optics Letters, 2016, 14(9): 091001 Copy Citation Text show less
    References

    [1] K. Mikolajczyk, C. Schmid. IEEE Trans. Pattern Anal. Mach. Intell., 27, 1615(2005).

    [2] M. K. Hu. IRE Trans. Inform. Theor., IT-8, 179(1962).

    [3] G. A. Papakostas. Moments and Moment Invariants—Theory and Applications(2014).

    [4] J. Flusser, T. Suk, B. Zitová. Moments and Moment Invariants in Pattern Recognition(2009).

    [5] R. Mukundan, K. Ramakrishnan. Moment Functions in Image Analysis—Theory and Applications(1998).

    [6] M. Pawlak. Image Analysis by Moments: Reconstruction and Computational Aspects(2006).

    [7] G. A. Papakostas. Over 50 Years of Image Moments and Moment Invariants(2014).

    [8] Y. Sheng, H. Arsenault. J. Opt. Soc. Am. A, 4, 1176(1987).

    [9] S. A. Dudani, K. J. Breeding. IEEE Trans. Comput., c-26, 39(1977).

    [10] J. Flusser, T. Suk. Pattern. Recognit., 26, 167(1993).

    [11] Y. S. Abu-Mostafa, D. Psaltis. IEEE Trans. Pattern Anal. Mach. Intell., PAMI-6, 698(1984).

    [12] J. F. Boyce, W. J. Hossack. Pattern. Recognit. Lett., 1, 451(1983).

    [13] Y. Sheng, J. Duvernoy. J. Opt. Soc. Am. A, 3, 885(1986).

    [14] Y. Sheng, H. H. Arsenault. J. Opt. Soc. Am. A, 3, 771(1986).

    [15] H. H. Arsenault, Y. Sheng. Appl. Opt., 25, 3225(1986).

    [16] Y. S. Abu-Mostafa, D. Psaltis. IEEE Trans. Pattern Anal. Mach. Intell., PAMI-7, 46(1985).

    [17] D. Shen, H. H. Ip. Pattern Recognit., 32, 151(1999).

    [18] X. Hu, B. Kong, F. Zheng, S. Wang. International Conference on Information Acquisition(2007).

    [19] H. Szu, Y. Sheng, J. Chen. Appl. Opt., 31, 3267(1992).

    [20] A. B. Bhatia, E. Wolf. Mathematical Proceedings of the Cambridge Philosophical Society, 50, 40(1954).

    [21] M. Born, E. Wolf. Principles of Optics(1975).

    [22] M. R. Teague. J. Opt. Soc. Am., 70, 920(1980).

    [23] C. H. Teh, R. T. Chin. IEEE Trans. Pattern Anal. Mach. Intell., 10, 496(1988).

    [24] Y. Sheng, L. Shen. J. Opt. Soc. Am. A, 11, 1748(1994).

    [25] Z. Ping, R. Wu, Y. Sheng. J. Opt. Soc. Am. A, 19, 1748(2002).

    [26] Z. L. Ping, H. P. Ren, J. Zou, Y. L. Sheng, W. Bo. Pattern. Recognit., 40, 1245(2007).

    [27] M. Abramowitz, I. A. Stegun. Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables(1964).

    [28] B. Xiao, J.-F. Ma, X. Wang. Pattern. Recognit., 43, 2620(2010).

    [29] H. Ren, Z. Ping, W. Bo, W. Wu, Y. Sheng. J. Opt. Soc. Am. A, 20, 631(2003).

    [30] P. Yap, X. Jiang, A. C. Kot. IEEE Trans. Pattern Anal. Mach. Intell., 32, 1259(2010).

    [31] T. V. Hoang, S. Tabbone. Proceedings of 18th IEEE International Conference on Image Processing (ICIP), 829(2011).

    [32] H. T. Hu, Y. D. Zhang, C. Shao, Q. Ju. Pattern Recognit., 47, 2596(2014).

    [33] Q. Miao, J. Liu, W. Li, J. Shi, Y. Wang. Opt. Commun., 285, 1044(2012).

    [34] M. Bober. IEEE Trans. Circ. Syst. Video Tech., 11, 716(2001).

    [35] C.-W. Chong, P. Raveendran, R. Mukundan. Pattern. Recognit., 37, 119(2004).

    [36] S. Liao, A. Chiang, L. Qin, M. Pawlak. Proceedings of 16th International Conference on Pattern Recognition, 485(2002).

    [37] K. M. Hosny. Pattern. Recognit. Lett., 32, 795(2011).

    [38] B. Yang, M. Dai. Signal Process., 91, 2290(2011).

    [39] B. Yang, G. Li, H. Zhang, M. Dai. Pattern. Recognit. Lett., 32, 1283(2011).

    [40] L. Geng-Xiang, Y. Bo, D. Mo. Proceedings of International Conference on Wavelet Analysis and Pattern Recognition (ICWAPR), 12(2011).

    [41] A. Hmimid, M. Sayyouri, H. Qjidaa. J. Electron. Imaging, 23, 013026(2014).

    [42] H. Zhu. Pattern Recognit., 45, 1540(2010).

    [43] Y. Sheng. Wavelet transform. Transforms and Applications(2010).

    [44] R. Mukundan, S. H. Ong, P. A. Lee. IEEE Trans. Image Process., 10, 1357(2001).

    [45] H. Zhu, H. Shu, T. Xia, L. Luo, J. Louis Coatrieux. Pattern. Recognit., 40, 2530(2007).

    [46] P. T. Yap, R. Paramesran, O. Seng-Huat. IEEE Trans. Image Process., 12, 1367(2003).

    [47] M. Kamel, J. Zhou, H. Shu, A. Campilho, H. Zhu, C. Toumoulin, L. Luo. Image Analysis and Recognition, 524(2005).

    [48] Y. Pew-Thian, R. Paramesran, O. Seng-Huat. IEEE Trans. Pattern Anal. Mach. Intell., 29, 2057(2007).

    [49] H.-A. Goh, C.-W. Chong, R. Besar, F. S. Abas, K.-S. Sim. Int. J. Image Graph., 9, 271(2009).

    [50] H. Zhu, H. Shu, J. Zhou, L. Luo, J. L. Coatrieux. Pattern. Recognit. Lett., 28, 1688(2007).

    [51] E. G. Karakasis, G. A. Papakostas, D. E. Koulouriotis, V. D. Tourassis. Pattern. Recognit., 46, 1998(2013).

    [52] H. Zhu, H. Shu, J. Liang, L. Luo, J.-L. Coatrieux. Signal Process., 87, 687(2007).

    [53] R. Mukundan. TENCON: 2005 IEEE Region 10, 1(2005).

    [54] P. Ananth raj, A. Venkataramana. Proceedings of 6th International Conference on Information, Communications & Signal, 1(2007).

    [55] H. Zhu, M. Liu, H. Shu, H. Zhang, L. Luo. IET Image Process., 4, 335(2010).

    Data from CrossRef

    [1] Parminder Kaur, Husanbir Singh Pannu, Avleen Kaur Malhi. Comprehensive Study of Continuous Orthogonal Moments—A Systematic Review. ACM Computing Surveys, 52, 1(2019).

    Kejia Wang, Ziliang Ping, Yunlong Sheng. Development of image invariant moments—a short overview[J]. Chinese Optics Letters, 2016, 14(9): 091001
    Download Citation