A systematic method for efficient computation of full and subsets Zernike moments

Information Sciences

Volumn 180, Issue 11, 2010, Pages 2299-2313

  Hosny, Khalid M ^a  

^a Zagazig University   (Egypt)

Author keywords

Complex moments; Fast computation; Gray level images; Symmetry property; Zernike moments

Indexed keywords

COMPLEX MOMENTS; FAST COMPUTATION; GRAY LEVEL IMAGE; SYMMETRY PROPERTIES; ZERNIKE MOMENTS;

SIGNAL RECONSTRUCTION;

COMPUTATIONAL EFFICIENCY;

EID: 77649340314     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2010.02.006     Document Type: Article

References (31)

1. E.M. Arvacheh, H.R. Tizhoosh, Pattern analysis using Zernike moments, IEEE Instrumentation and Measurement Technology Conference, Ottawa, Canada, May 17-19, 2005, pp. 1574-1578.
2. Bharathi V.S., and Ganesan L. Orthogonal moments based texture analysis of CT liver images. Pattern Recognition Letters 29 13 (2008) 1868-1872
3. Broumandnia A., and Shanbehzadeh J. Fast Zernike wavelet moments for Farsi character recognition. Image and Vision Computing 25 (2007) 717-726
4. Che Y., Qu F., Hu J., and Chen Z. A geometric robust watermarking algorithm based on DWT-DCT and Zernike moments. Wuhan University Journal of Natural Sciences 13 6 (2008) 753-758
5. Chenhong L., and Zhaoyang L. Zernike moment invariants based iris recognition. LNCS 3338 (2004) 554-561
6. Chong C.W., Raveendran P., and Mukundan R. A comparative analysis of algorithms for fast computation of Zernike moments. Pattern Recognition 36 (2003) 731-742
7. Chong-Yaw W., and Raveendran P. In the computational aspects of Zernike moments. Image and Vision Computing 25 (2007) 967-980
8. Hosny K.M. Exact and fast computation of geometric moments for gray level. Applied Mathematics and Computation 189 2 (2007) 1214-1222
9. Hosny K.M. Fast and accurate method for radial moment's computation. Pattern Recognition Letters 31 2 (2010) 143-150
10. Hosny K.M. Fast computation of accurate Zernike moments. Journal of Real-Time Image Processing 3 1-2 (2008) 97-107
11. Hosny K.M. Exact Legendre moment computation for gray level images. Pattern Recognition 40 12 (2007) 3597-3605
12. Iskander D.R., Collins M.J., and Davis B. Optimal modeling of corneal surfaces with Zernike polynomials. IEEE Transactions on Biomedical Engineering 48 1 (2001) 87-95
13. Khotanzad A., and Hong Y.H. Invariant image recognition by Zernike moments. IEEE Transactions on Pattern Analysis and Machine Intelligence 12 5 (1990) 489-497
14. Kim Y.S., and Kim W.Y. Content-based trademark retrieval system using visually salient feature. Image and Vision Computing 16 (1998) 931-939
15. Kim H.S., and Lee H.-K. Image watermark using Zernike moments. IEEE Transactions on Circuits and Systems for Video Technology 13 8 (2003) 766-775
16. Kim H.-J., and Kim W.-Y. Eye detection in facial images using Zernike moments with SVM. ETRI Journal 30 2 (2008) 335-337
17. Kim W.C., Song J.Y., Kim S.W., and Park S. Image retrieval model based on weighted visual features determined by relevance feedback. Information Science 178 2 (2008) 4301-4313
18. Kintner E.C. On the mathematical properties of the Zernike polynomials. Optica Acta 23 8 (1976) 679-680
19. Li S., Lee M.-C., and Pun C.-M. Zernike moments features for shape-based image retrieval. IEEE Transactions on Systems, Man and Cybernetics, Part A 39 1 (2009) 227-237
20. Liao S.X., and Pawlak M. On the accuracy of Zernike moments for image analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence 20 12 (1998) 1358-1364
21. Martin J.A.H., b Santos M., and de Lope J. Orthogonal variant moments features in image analysis. Information Sciences 180 6 (2010) 846-860
22. Papakostas G.A., Boutalis Y.S., Karras D.A., and Mertzios B.G. A new class of Zernike moments for computer vision applications. Information Sciences 177 13 (2007) 2802-2819
23. Papakostas G.A., Koulouriotis D.E., and Karakasis E.G. A unified methodology for the efficient computation of discrete orthogonal image moments. Information Sciences 176 20 (2009) 3619-3633
24. Prata A., and Rusch W.V.T. Algorithm for computation of Zernike polynomials expansion coefficients. Applied Optics 28 (1989) 749-754
25. Qu Y.-D., Cui C.-S., Chen S.-B., and Li J.-Q. A fast subpixel edge detection method using Sobel-Zernike moments operator. Image and Vision Computing 23 (2005) 11-17
26. Teague M.R. Image analysis via the general theory of moments. Journal of the Optical Society of America 70 8 (1980) 920-930
27. Teh C.H., and Chin R.T. On image analysis by the method of moments. IEEE Transactions on Pattern Analysis and Machine Intelligence 10 4 (1988) 496-513
28. Wang L., and Healey G. Using Zernike moments for the illumination and geometry invariant classification of multispectral texture. IEEE Transactions on Image Processing 7 2 (1998) 196-203
29. Wang X.-F., Huang D.-S., Du J.-X., Xu H., and Heutte L. Classification of plant leaf images with complicated background. Applied Mathematics and Computation 205 2 (2008) 916-926
30. Wee C.Y., Paramesran R., and Takeda F. New computational methods for full and subset Zernike moments. Information Sciences 159 (2004) 203-220
31. Xin Y., Liao S., and Pawlak M. Circularly orthogonal moments for geometrically robust image watermarking. Pattern Recognition 40 12 (2007)