Image analysis using Hahn moments

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 29, Issue 11, 2007, Pages 2057-2062

  Yap Sr , Pew Thian ^a   Paramesran, Raveendran ^b   Ong, Seng Huat ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b UNIVERSITY OF MALAYA   (Malaysia)

Author keywords

Discrete orthogonal polynomials; Hahn moments; Hahn polynomials; Normalized convolution

Indexed keywords

CHEBYSHEV APPROXIMATION; CONVOLUTION; FEATURE EXTRACTION; POLYNOMIALS;

DISCRETE ORTHOGONAL POLYNOMIALS; HAHN MOMENTS; NORMALIZED CONVOLUTION;

IMAGE ANALYSIS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 34548723923     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.70709     Document Type: Article

References (11)

1. R. Mukundan, S.H. Ong, and P.A. Lee, "Image Analysis by Tchebichef Moments," IEEE Trans. Image Processing, vol. 10, no. 9, pp. 1357-1364, Sept. 2001.
2. P.-T. Yap, R. Paramesran, and S.-H. Ong, "Image Analysis by Krawtchouk Moments," IEEE Trans. Image Processing, vol. 12, no. 11, pp. 1367-1377, Nov. 2003.
3. P.-T. Yap, "Image Analysis by Discrete Orthogonal Moments," master's thesis, Univ. of Malaya, Kuala Lumpur, Malaysia, Apr. 2003.
4. P.-T. Yap, "Moments-Based Pattern Analysis: Theory and Applications," PhD dissertation, Univ. of Malaya, Kuala Lumpur, Malaysia, 2006.
5. J. Zhou, H.Z. Huazhong Shu, C. Toumoulin, and L. Luo, "Image Analysis by Discrete Orthogonal Hahn Moments," Proc. Second Int'l Conf. Image Analysis and Recognition, p. 524, Sept. 2005.
6. H. Knutsson and C.-F. Westin, "Normalized and Differential Convolution: Methods for Interpolation and Filtering of Incomplete and Uncertain Data," Proc. IEEE CS Conf. Computer Vision and Pattern Recognition pp. 515-523, June 1993.
7. W. Hahn, "Über Orthogonalpolynome, Die q-Differenzengleichungen genügen," Math. Nachrichten, vol. 2, pp. 4-34, 1949.
8. G.H. Golub and C.F.V. Loan, Matrix Computations, third ed. The Johns Hopkins Univ. Press, 1996.
9. E. Kreyszig, Advanced Engineering Mathematics, sixth ed. John Wiley & Sons, 1988.
10. J.Z. Wang, G. Wiederhold, O. Firschein, and S.X. Wei, "Content-Based Image Indexing and Searching Using Daubechies' Wavelets," Int'l J. Digital Libraries, pp. 311-328, 1997.
11. M.R. Teague, "Image Analysis via the General Theory of Moments," J. Optical Soc. Am., vol. 70, no. 8, pp. 920-930, Aug. 1980.