Fast computation of exact Zernike moments using cascaded digital filters

Information Sciences

Volumn 181, Issue 17, 2011, Pages 3638-3651

  Lim, Chern Loon ^a   Honarvar, Barmak ^a   Thung, Kim Han ^a   Paramesran, Raveendran ^a  

^a UNIVERSITY OF MALAYA   (Malaysia)

Author keywords

Digital filters; Exact geometric moments; Exact Zernike moments; Fast computation; Geometric moments; Zernike moments

Indexed keywords

BIOMEDICAL IMAGING; COMPUTATION TIME; EXACT ZERNIKE MOMENTS; FAST COMPUTATION; GEOMETRIC MOMENT; MATHEMATICAL RELATIONSHIP; ZERNIKE MOMENTS;

ALGORITHMS; DIGITAL FILTERS; EDGE DETECTION; GEOMETRY; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; MEDICAL IMAGING; OBJECT RECOGNITION;

COMPUTATIONAL EFFICIENCY;

EID: 79957625651     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.04.029     Document Type: Article

References (48)

1. M. Al-Rawi Fast Zernike moments Journal of Real-Time Image Processing 3 2008 89 96 (Pubitemid 351448795)
2. M. Al-Rawi, and Y. Jie Practical fast computation of Zernike moments Journal of Computer Science and Technology 17 2002 181 188 (Pubitemid 34278618)
3. G. Amayeh, G. Bebis, A. Erol, M. Nicolescu, Peg-free hand shape verification using high order Zernike moments, in: the Conference on Computer Vision and Pattern Recognition Workshop, CVPRW'06, New York City, NY, 2006, pp. 40-40.
4. S.O. Belkasim, M. Ahmadi, M. Shridhar, Efficient algorithm for fast computation of zernike moments, in: IEEE 39th Midwest symposium on Circuits and Systems, vol. 3, Ames, Iowa, 1996, pp. 1401-1404.
5. S.O. Belkasim, M. Shridhar, M. Ahmadi, Shape recognition using Zernike moments invariants, in: Proceeding 23rd Annual Asilomar Conference on Signals Systems and Computers, Pacific Grove, CA, 1989, pp. 161-171.
6. Q. Chen, X. Yang, J. Zhao, Robust image watermarking with Zernike moments, in: Canadian Conference on Electrical and Computer Engineering, Saskatoon, SASK., 2005, pp. 1340-1343.
7. C.W. Chong, A formulation of a new class of continuous orthogonal moment invariants, and the analysis of their computational aspect, Ph.D. Thesis, Department of Electrical Engineering, University of Malaya, Kuala Lumpur, 2003.
8. C.W. Chong, R. Mukundan, R. Paramesran, An efficient algorithm for fast computation of Zernike moments, in: Proceedings of the 6th Joint Conference on Information Science, JCIS'02, Research Triangle Park, NC, 2002, pp. 785-788.
9. C.W. Chong, R. Paramesran, and R. Mukundan A comparative analysis of algorithm for fast computation of Zernike moments Pattern Recognition 36 2003 731 742
10. C. Deng, X. Gao, D. Tao, and X. Liao A local tchebichef moments based robust image watermarking Signal Processing 89 2009 1531 1539
11. S. Ghosal, R. Mehrotra, Edge detection using orthogonal moment-based operators, in: Pattern Recognition, vol. III, Conference C: Proceedings of the 11th IAPR International Conference on Image, Speech and Signal Analysis, The Hague, 1992, pp. 413-416.
12. S. Ghosal, and R. Mehrotra Segmentation of range images: an orthogonal moment-based integrated approach IEEE Transactions on Robotics and Automation 9 1993 385 399
13. S. Ghosal, R. Mehrotra, Zernike moment-based feature detectors, in: Proceedings of the IEEE International Conference on Image Processing ICIP-94, vol. 1, Austin, TX, 1994, pp. 934-938.
14. J.A.H. Martin, M. Santos, and J. de Lope Orthogonal variant moments features in image analysis Information Sciences 180 2010 846 860
15. J. Haddadnia, M. Ahmadi, K. Raahemifar, An effective feature extraction method for face recognition, in: Proceedings of the 2003 International Conference on Image Processing, ICIP 2003, vol. 3, Barcelona, 2003, pp. III-917-20.
16. M. Hatamian A real-time two-dimensional moment generating algorithm and its single chip implementation IEEE Transactions on Acoustics, Speech and Signal Processing 34 1986 546 553
17. K.M. Hosny Exact and fast computation of geometric moments for gray level images Applied Mathematics and Computation 189 2007 1214 1222 (Pubitemid 46802737)
18. K.M. Hosny Fast computation of accurate Zernike moments Journal of Real-Time Image Processing 3 2008 97 107 (Pubitemid 351448796)
19. K.M. Hosny Fast and accurate method for radial moment's computation Pattern Recognition Letters 31 2010 143 150
20. K.M. Hosny A systematic method for efficient computation of full and subsets zernike moments Information Sciences 180 2010 2299 2313
21. M.K. Hu Visual pattern recognition by moment invariants IRE Transactions on Information Theory 8 1962 179 187
22. Z. Iscan, Z. Dokura, and T. Lmeza Tumor detection by using Zernike moments on segmented magnetic resonance brain images Expert Systems with Applications 37 2010 2540 2549
23. A. Prata Jr., and W. Rusch Algorithm for computation of Zernike polynomials expansion coefficients Applied Optics 28 1989 749 754
24. C. Kan, and M.D. Srinath Invariant character recognition with Zernike and orthogonal Fourier-Mellin moments Pattern Recognition 35 2002 143 154 (Pubitemid 33098723)
25. A. Khotanzad, and J.H. Lu Classification of invariant image representations using a neural network IEEE Transactions on Acoustics, Speech and Signal Processing 38 1990 1028 1038 (Pubitemid 20713539)
26. H.S. Kim, and H.K. Lee Invariant image watermark using Zernike moments IEEE Transactions on Circuits and Systems for Video Technology 13 2003 766 775
27. Y.S. Kim, W.Y. Kim, Content-based trademark retrieval system using visually salient features, in: Proceedings of the 1997 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, San Juan, 1997, pp. 307-312.
28. E. Kintner On the mathematical properties of the Zernike polynomials Journal of Modern Optics 23 1976 679 680
29. J. Kong, H. Li, Y. Lu, M. Qi, S. Wangs, Hand-based personal identification using k-means clustering and modified Zernike moments, in: Third International Conference on Natural Computation, ICNC 2007, vol. 2, Haikou, 2007, pp. 651-655.
30. L. Kotoulas, and I. Andreadis Real-time computation of Zernike moments IEEE Transactions on Circuits and Systems for Video Technology 15 2005 801 809 (Pubitemid 40819648)
31. S.X. Liao, Image analysis by moments, Ph.D. Thesis, Department of Business Computing, Manitoba University, Manitoba, 1993.
32. S.X. Liao, and M. Pawlak On the accuracy of Zernike moments for image analysis IEEE Transactions on Pattern Analysis and Machine Intelligence 20 1998 1358 1364 (Pubitemid 128741380)
33. R. Mukundan, S.H. Ong, and P.A. Lee Image analysis by tchebichef moments IEEE Transactions on Image Processing 10 2001 1357 1364 (Pubitemid 32949959)
34. G.A. Papakostas, Y.S. Boutalis, D.A. Karras, and B.G. Mertzios A new class of Zernike moments for computer vision applications Information Sciences 177 2007 2802 2819 (Pubitemid 46574625)
35. G.A. Papakostas, D.E. Koulouriotis, and E.G. Karakasis A unified methodology for the efficient computation of discrete orthogonal image moments Information Sciences 179 2009 3619 3633
36. M. Pawlak On the reconstruction aspects of moment descriptors IEEE Transactions on Information Technology 38 1992 1698 1708 (Pubitemid 23585918)
37. S.P. Prismall, M.S. Nixon, J.N. Carter, On moving object reconstruction by moments, in: 13th British Machine Vision Conference, Cardiff, Wales, 2002, pp. 73-82.
38. M.R. Teague Image analysis via the general theory of moments Journal of Optical Society of America 70 1980 920 930
39. C.H. Teh, and R.T. Chin On image analysis by the methods of moments IEEE Transactions on Pattern Analysis and Machine Intelligence 10 1988 496 513
40. L. Wang, and G. Healey Using Zernike moments for the illumination and geometry invariant classification of multispectral texture IEEE Transactions on Image Processing 7 1998 196 203 (Pubitemid 128745336)
41. L. Wang, H. Ling, F. Zou, Z. Lu, and Z. Wang Spermatogonium image recognition using Zernike moments Computer Methods and Programs in Biomedicine 95 2009 10 22
42. C.Y. Wee, and R. Paramesran Efficient computation of radial moment functions using symmetrical property Pattern Recognition 39 2006 2036 2046 (Pubitemid 44175466)
43. C.Y. Wee, and R. Paramesran On the computational aspects of Zernike moments Image and Vision Computing 25 2007 967 980 (Pubitemid 46528593)
44. C.Y. Wee, R. Paramesran, and R. Mukundan Fast computation of geometric moments using a symmetric kernel Pattern Recognition 41 2008 2369 2380
45. C.Y. Wee, R. Paramesran, and F. Takeda New computational methods for full and subset Zernike moments Information Sciences 159 2004 203 220
46. W.H. Wong, and W.C. Siu Improved digital filter structure for fast moments computation IEE Proceedings - Vision, Image and Signal Processing 146 1999 73 79
47. D. Xiao, L. Yang, Gait recognition using Zernike moments and bp neural network, in: IEEE International Conference on Networking, Sensing and Control, ICNSC 2008, Sanya, 2008, pp. 418-423.
48. F. Zernike Beugungstheorie des schneidenverfahrens und seiner verbesserten form, der phasenkontrastmethode Physica 1 1934 689 704