메뉴 건너뛰기




Volumn 24, Issue 9, 2006, Pages 960-969

Numerical error analysis in Zernike moments computation

Author keywords

Feature extraction; Finite precision error; Image vision; Numerical stability; Recursive computation; Zernike moments

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FEATURE EXTRACTION; MEASUREMENT ERRORS; RECURSIVE FUNCTIONS;

EID: 33746926348     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2006.02.015     Document Type: Article
Times cited : (41)

References (27)
  • 1
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • Hu M.K. Visual pattern recognition by moment invariants. IRE Trans. Inform. Theory IT-8 (1962) 179-187
    • (1962) IRE Trans. Inform. Theory , vol.IT-8 , pp. 179-187
    • Hu, M.K.1
  • 2
    • 0019047147 scopus 로고
    • Image analysis via the general theory of moments
    • Teague M. Image analysis via the general theory of moments. J. Opt. Soc. Am. 70 8 (1980) 920-930
    • (1980) J. Opt. Soc. Am. , vol.70 , Issue.8 , pp. 920-930
    • Teague, M.1
  • 3
    • 0025446873 scopus 로고
    • Classification of invariant image representations using a neural network
    • Khotanzad A., and Lu J.-H. Classification of invariant image representations using a neural network. IEEE Trans. Acoust. Speech Signal Processing 38 6 (1990) 1028-1038
    • (1990) IEEE Trans. Acoust. Speech Signal Processing , vol.38 , Issue.6 , pp. 1028-1038
    • Khotanzad, A.1    Lu, J.-H.2
  • 5
    • 84933517006 scopus 로고    scopus 로고
    • G.A. Papakostas, D.A. Karras, B.G. Mertzios, Image coding using a wavelet based Zernike moments compression technique, 14th International Conference on Digital Signal Processing (DSP2002), vol. II, Santorini-Hellas (Greece), 1-3 July, 2002, pp. 517-520.
  • 7
    • 84995307622 scopus 로고    scopus 로고
    • R. Mukundan, S.H. Ong, P.A. Lee, Discrete vs. continuous orthogonal moments for image analysis, in: Proceedings of the International Conference on Imaging Science Systems and Technology, vol. 1, 2001, pp. 23-29.
  • 8
    • 0032300621 scopus 로고    scopus 로고
    • On the accuracy of zernike moments for image analysis
    • Liao S.X., and Pawlak M. On the accuracy of zernike moments for image analysis. IEEE Trans. Pattern Anal. Machine Intell. 20 12 (1998) 1358-1364
    • (1998) IEEE Trans. Pattern Anal. Machine Intell. , vol.20 , Issue.12 , pp. 1358-1364
    • Liao, S.X.1    Pawlak, M.2
  • 9
    • 0036522755 scopus 로고    scopus 로고
    • A comparative analysis of algorithms for fast computation of zernike moments
    • 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
    • (2003) Pattern Recognition , vol.36 , pp. 731-742
    • Chong, C.W.1    Raveendran, P.2    Mukundan, R.3
  • 13
    • 0031141982 scopus 로고    scopus 로고
    • Exact analysis of the finite precision error generation and propagation in the FAEST and the fast transversal algorithms: a general methodology for developing robust RLS schemes
    • Papaodysseus C., Koukoutsis E., Stavrakakis G., and Halkias C.C. Exact analysis of the finite precision error generation and propagation in the FAEST and the fast transversal algorithms: a general methodology for developing robust RLS schemes. Math. Comput. Simul. 44 (1997) 29-41
    • (1997) Math. Comput. Simul. , vol.44 , pp. 29-41
    • Papaodysseus, C.1    Koukoutsis, E.2    Stavrakakis, G.3    Halkias, C.C.4
  • 14
    • 0347370180 scopus 로고    scopus 로고
    • A new multichannel recursive least squares algorithm for very robust and efficient adaptive filtering
    • Boutalis Y., Papaodyseus C., and Koukoutsis E. A new multichannel recursive least squares algorithm for very robust and efficient adaptive filtering. J. Algorithms 37 (2000) 283-308
    • (2000) J. Algorithms , vol.37 , pp. 283-308
    • Boutalis, Y.1    Papaodyseus, C.2    Koukoutsis, E.3
  • 16
    • 3843108000 scopus 로고    scopus 로고
    • Some computational aspects of discrete orthonormal moments
    • Mukundan R. Some computational aspects of discrete orthonormal moments. IEEE Trans. Image Process. 13 8 (2004) 1055-1059
    • (2004) IEEE Trans. Image Process. , vol.13 , Issue.8 , pp. 1055-1059
    • Mukundan, R.1
  • 17
    • 0033892001 scopus 로고    scopus 로고
    • Zernike moment-based image shape analysis and its application
    • Zhenjiang M. Zernike moment-based image shape analysis and its application. Pattern Recognit. Lett. 21 (2000) 169-177
    • (2000) Pattern Recognit. Lett. , vol.21 , pp. 169-177
    • Zhenjiang, M.1
  • 18
    • 0036132485 scopus 로고    scopus 로고
    • Invariant character recognition with zernike and orthogonal fourie-mellin moments
    • Kan C., and Srinath M.D. Invariant character recognition with zernike and orthogonal fourie-mellin moments. Pattern Recognit. 35 (2002) 143-154
    • (2002) Pattern Recognit. , vol.35 , pp. 143-154
    • Kan, C.1    Srinath, M.D.2
  • 19
    • 84995310743 scopus 로고    scopus 로고
    • G.A. Papakostas, Y.S. Boutalis, B.G. Mertzios, Evolutionary selection of Zernike moment sets in image processing, 10th International Workshop on Systems, Signals and Image Processing (IWSSIP'03), Prague-Czech Republic, 10-11 September, 2003.
  • 20
    • 84995360114 scopus 로고    scopus 로고
    • T.W. Lin, Y.F. Chou, A comparative study of Zernike moments for image retrieval, Proceedings of 16th IPPR Conference on Computer Vision, Graphics Image Process. (CVGIP 2003), 2003, pp. 621-629.
  • 21
    • 0442327388 scopus 로고    scopus 로고
    • Invariant texture retrieval using modified zernike moments
    • Sim D.G., Kim H.K., and Park R.H. Invariant texture retrieval using modified zernike moments. Image Vis. Comput. 22 (2004) 331-342
    • (2004) Image Vis. Comput. , vol.22 , pp. 331-342
    • Sim, D.G.1    Kim, H.K.2    Park, R.H.3
  • 22
    • 84995326387 scopus 로고    scopus 로고
    • R. Mukundan, A contour integration method for the computation of Zernike moments of a binary image, Proceedings of National Conference on Research and Development in Computer Science and its Applications, Penang-Malaysia, 27-29 November, 1997, pp. 188-192.
  • 23
    • 0036887671 scopus 로고    scopus 로고
    • A novel algorithm for fast computation of zernike moments
    • Gu J., Shu H.Z., Toumoulin C., and Luo L.M. A novel algorithm for fast computation of zernike moments. Pattern Recognit. 35 (2002) 2905-2911
    • (2002) Pattern Recognit. , vol.35 , pp. 2905-2911
    • Gu, J.1    Shu, H.Z.2    Toumoulin, C.3    Luo, L.M.4
  • 24
    • 1642566061 scopus 로고    scopus 로고
    • New computational methods for full and subset zernike moments
    • Chong C.W., Raveendran P., and Takeda F. New computational methods for full and subset zernike moments. Inform. Sci. 159 (2004) 203-220
    • (2004) Inform. Sci. , vol.159 , pp. 203-220
    • Chong, C.W.1    Raveendran, P.2    Takeda, F.3
  • 25
    • 0029537130 scopus 로고
    • Fast computation of legendre and zernike moments
    • Mukundan R., and Ramakrishnan K.R. Fast computation of legendre and zernike moments. Pattern Recognit. 28 9 (1995) 1433-1442
    • (1995) Pattern Recognit. , vol.28 , Issue.9 , pp. 1433-1442
    • Mukundan, R.1    Ramakrishnan, K.R.2
  • 26
    • 0030197242 scopus 로고    scopus 로고
    • Efficient algorithm for fast computation of zernike moments
    • Belkasim S.O., Ahmadi M., and Shridhar M. Efficient algorithm for fast computation of zernike moments. J. Franklin Inst. 333(B) 4 (1996) 577-581
    • (1996) J. Franklin Inst. , vol.333 B , Issue.4 , pp. 577-581
    • Belkasim, S.O.1    Ahmadi, M.2    Shridhar, M.3
  • 27
    • 33747113980 scopus 로고
    • Beugungstheorie des schneidenverfahrens und seiner verbesserten form, der phasenkonstrastmethode
    • Zernike F. Beugungstheorie des schneidenverfahrens und seiner verbesserten form, der phasenkonstrastmethode. Physica 1 (1934) 689-701
    • (1934) Physica , vol.1 , pp. 689-701
    • Zernike, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.