TRANSLATION AND SCALE INVARIANTS OF HAHN MOMENTS

被引:15
作者
Goh, Hock-Ann [1 ]
Chong, Chee-Way [1 ]
Besar, Rosli [1 ]
Abas, Fazly Salleh [1 ]
Sim, Kok-Swee [1 ]
机构
[1] Multimedia Univ, Fac Engn & Technol, Bukit Beruang 75450, Melaka, Malaysia
关键词
Hahn moments; discrete orthogonal moments; translation invariants; scale invariants;
D O I
10.1142/S0219467809003435
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
Hahn moments are a superset of Tchebichef and Krawtchouk moments. The formulation for Hahn moments is however comparably more complex than other moments. So far only research work on translation and scale invariants for Tchebichef moments has been presented but not on Hahn moments. In this paper, a moment normalization method to achieve translation and scale invariants of Hahn moments is proposed. This method applies the concept of mapping functions used in image normalization. The mapping functions, once determined, are plugged into the moment generating functions to generate moment invariants. The proposed method is simpler and flexible. Experimental results show that faster execution and more precise moment invariants can be achieved using the invariant generating functions.
引用
收藏
页码:271 / 285
页数:15
相关论文
共 17 条
  • [1] DIGITAL PATTERN RECOGNITION BY MOMENTS
    ALT, FL
    [J]. JOURNAL OF THE ACM, 1962, 9 (02) : 240 - &
  • [2] The scale invariants of pseudo-Zernike moments
    Chong, CW
    Raveendran, P
    Mukundan, R
    [J]. PATTERN ANALYSIS AND APPLICATIONS, 2003, 6 (03) : 176 - 184
  • [3] Translation and scale invariants of Legendre moments
    Chong, CW
    Raveendran, P
    Mukundan, R
    [J]. PATTERN RECOGNITION, 2004, 37 (01) : 119 - 129
  • [4] Translation invariants of zernike moments
    Chong, CW
    Raveendran, P
    Mukundan, R
    [J]. PATTERN RECOGNITION, 2003, 36 (08) : 1765 - 1773
  • [5] AIRCRAFT IDENTIFICATION BY MOMENT INVARIANTS
    DUDANI, SA
    BREEDING, KJ
    MCGHEE, RB
    [J]. IEEE TRANSACTIONS ON COMPUTERS, 1977, 26 (01) : 39 - 45
  • [6] VISUAL-PATTERN RECOGNITION BY MOMENT INVARIANTS
    HU, M
    [J]. IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (02): : 179 - &
  • [7] Koekoek R., 1998, 0817 TU DELFT FAC TE, P24
  • [8] Mukundan R, 2004, Proceedings of the Sixth IASTED International Conference on Signal and Image Processing, P80
  • [9] Image analysis by Tchebichef moments
    Mukundan, R
    Ong, SH
    Lee, PA
    [J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 2001, 10 (09) : 1357 - 1364
  • [10] Mukundan R., 1998, MOMENT FUNCTIONS IMA, P12