TRANSLATION and SCALE INVARIANTS of HAHN MOMENTS

International Journal of Image and Graphics

Volumn 9, Issue 2, 2009, Pages 271-285

  Goh, Hock Ann ^a   Chong, Chee Way ^a   Besar, Rosli ^a   Abas, Fazly Salleh ^a   Sim, Kok Swee ^a  

^a MULTIMEDIA UNIVERSITY   (Malaysia)

Author keywords

discrete orthogonal moments; Hahn moments; scale invariants; translation invariants

Indexed keywords

DISCRETE ORTHOGONAL MOMENTS; GENERATING FUNCTIONS; HAHN MOMENTS; IMAGE NORMALIZATION; MOMENT GENERATING FUNCTION; MOMENT NORMALIZATION; SCALE INVARIANT; TRANSLATION INVARIANTS;

MAPPING;

EID: 67651044915     PISSN: 02194678     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219467809003435     Document Type: Article

References (17)

1. M. K. Hu, "Visual pattern recognition by moment invariants, " IRE Transactions Information Theory 8, 179-187 (1962).
2. M. Teague, "Image analysis via the general theory of moments, " Journal of Opt. Soc. America 70, 920-930 (1980).
3. P. T. Yap, R. Paramesran and S. H. Ong, "Image analysis by Hahn moments, " IEEE Transactions on Pattern Analysis and Machine Intelligence 29, 2057-2062 (2007).
4. P. T. Yap, R. Paramesran and S. H. Ong, "Image analysis by Krawtchouk moments, " IEEE Transactions on Image Processing 12, 1367-1377 (2003).
5. R. Mukundan, S. H. Ong and P. A. Lee, "Image analysis by Tchebichef moments, " IEEE Transactions on Image Processing 10, 1357-1364 (2001).
6. C. W. Chong, P. Raveendran and R. Mukundan, "Translation scale invariants of Legendre moments, " Journal of the Pattern Recognition 37, 119-129 (2004).
7. H. Zhu, H. Shu, T. Xia, L. Luo and J. L. Coatrieus, "Translation and scale invariants of Tchebichef moments, " Journal of the Pattern Recognition 40, 2530-2542 (2007).
8. R. Mukundan, "A new class of rotation invariants of using discrete orthogonal moments, " Proceeding of the 6th IASTED Int. Conf. Signal and Image Processing, 80-84 (2004).
9. G. Szegö, Orthogonal Polynomials (American Mathematical Society), 23 (1975).
10. R. Koekoek and R. Swarttouw, The Askey-Scheme of Hypergeometric Orthogonal Polynomials and its q-Analogue, Faculty of Technical Mathematics and Informatics Report 08-17, Delft, Netherland: Technische Universiteit Delft, 24-51 (1998).
11. F. L. Alt, "Digital pattern recognition by moments, " Journal of ACM 9, 240-258 (1962).
12. F. W. Smith and M. H. Wright, "Automatic ship photo interpretation by the method of moments, " IEEE Transactions on Computers 20 1089-1095 (1971).
13. S. A. Dudani, "Aircraft identification by moment invariants, " IEEE Transactions on Computers 26, 39-45 (1977).
14. R. Y. Wong and E. L. Hall, "Scene matching with invariant moments, " Computer Vision, Graphics and Image Processing 8, 16-24 (1978).
15. C. W. Chong, P. Raveendran and R. Mukundan, "Translation invariants of Zernike moments, " Journal of the Pattern Recognition 36, 1765-1773 (2003).
16. C. W. Chong, P. Raveendran and R. Mukundan, "The scale invariants of pseudo-Zernike moments, " Pattern Analysis and Application 6, 176-184 (2003).
17. R. Mukundan and K. R. Ramakrishnan, Moment Functions in Image Analysis - Theory and Applications (World Scientific Publishing), 12-14 (1998).