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Hidden Markov Models with Spectral Features for 2D Shape Recognition
December 2001 (vol. 23 no. 12)
pp. 1454-1458

In this paper, we present a technique using Markov models with spectral features for recognizing 2D shapes. We will analyze the properties of Fourier spectral features derived from closed contours of 2D shapes and use these features for 2D pattern recognition. We develop algorithms for reestimating parameters of hidden Markov models. To demonstrate the effectiveness of our models, we have tested our methods on two image databases: hand-tools and unconstrained handwritten numerals. We are able to achieve high recognition rates of 99.4 percent and 96.7 percent without rejection on these two sets of image data, respectively.

[1] 1454 C.K. Williams, “Combining Deformable Models and Neural Networks for Hand-Printed Digit Recognition,” PhD thesis, Dept. Computer Science, Univ. of Toronto, 1994.[2] A. Lanitis, C.J. Taylor, and T.F. Cootes, “A Generic System for Classifying Variable Objects Using Flexible Template Matching,” Proc. British Machine Vision Conf., vol. 1, pp. 329-338, 1993.[3] S. Sclaroff and A.P. Pentland, Modal Matching for Correspondence and Recognition IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 6, pp. 545-561, 1995.[4] S. Sclaroff, “Deformable Prototypes for Encoding Shape Categories in Image Databases,” Pattern Recognition, vol. 30, no. 4, pp. 627-641, Apr. 1997.[5] R.J. Prokop and A.P. Reeves, "A survey of moment-based techniques for unoccluded object representation and recognition," Graphical Models and Image Processing, vol. 54, no. 5, pp. 438-460, Sept. 1992.[6] M.K. Hu, “Visual Pattern Recognition by Moment Invariants,” IRE Trans. Information Theory, vol. 8, pp. 179-187, Feb. 1962.[7] T.H. Reiss, "The revised fundamental theorem of moment invariants," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 8, pp. 830-834, Aug. 1991.[8] S.O. Belkasim,M. Shridhar,, and M. Ahmadi,“Pattern recognition with moment invariants: A comparative study and new results,” Pattern Recognition, vol. 24, pp. 1117-1138, 1991.[9] H. Kauppinen, T. Seppänen, and M. Pietikäinen, “An Experimental Comparison of Autoregressive and Fourier-Based Descriptors in 2D Shape Classification,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 2, pp. 201-207, Feb. 1995.[10] E. Persoon and K.S. Fu, "Shape Discrimination Using Fourier Descriptors," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 8, no. 3, pp. 388-397, May 1986.[11] J. Cai and Z.-Q. Liu, “Integration of Structural and Statistical Information for Unconstrained Handwritten Numeral Recognition,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 21, no. 3, pp. 263-270, Mar. 1999.[12] L.R. Rabiner, “Tutorial on Hidden Markov Model and Selected Applications in Speech Recognition,” Proc. IEEE, vol. 77, no. 2, pp. 257-285, 1989.[13] X.D. Huang, Y. Ariki, and M.A. Jack, Hidden Markov Models for Speech Recognition. Edinburgh: Edinburgh Univ. Press, 1990.[14] A.J. Elms, “The Representation and Recognition of Text Using Hidden Markov Models,” PhD thesis, Dept. Electronic and Electrical Eng., Univ. of Surrey, 1996.[15] A. Viterbi, “Error Bounds for Convolutional Codes and an Asymptotically Optimum Decoding Algorithm,” IEEE Trans. Information Theory, vol. 13, no. 2, pp. 260-269, Apr. 1967.[16] I. Sekita,T. Kurita,, and N. Otsu,“Complex autoregressive model for shape recognition,” IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 489-496, 1992.[17] Z. Ghahramani and M.I. Jordan, “Factorial Hidden Markov Models,” Machine Learning, vol. 29, pp. 245-275, 1997.[18] M. Brand, N. Oliver, and A. Pentland, “Coupled Hidden Markov Models for Complex Action Recognition,” IEEE Proc. Computer Vision and Pattern Recognition, 1997.[19] M. Brand, N. Oliver, and A. Pentland, “Coupled Hidden Markov Models for Complex Action Recognition,” IEEE Proc. Computer Vision and Pattern Recognition, 1997.[20] Y. He and A. Kundu, 2-D Shape Classification Using Hidden Markov Model IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 13, no. 11, pp. 1172-1184, Nov. 1991.[21] M. Das,M.J. Paulik,, and N.K. Loh,“A bivariate autoregressive modeling technique for analysis and classification of planar shapes,” IEEE Trans. Pattern Anal. Machine Intell., vol. 12, no. 1, pp. 97-103, 1990.[22] H. Liuand and M. Srinath, “Partial Shape Classification Using Contour Matching in Distance Transformation,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 12, pp. 1,072-1,079, 1990.

Index Terms:
Hidden Markov models, spectral features, 2D shape recognition, outer contours, handwritten numeral recognition
Citation:
J. Cai, Z.Q. Liu, "Hidden Markov Models with Spectral Features for 2D Shape Recognition," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 23, no. 12, pp. 1454-1458, Dec. 2001, doi:10.1109/34.977569
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