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Texture Classification Using Noncausal Hidden Markov Models
October 1995 (vol. 17 no. 10)
pp. 1010-1014

Abstract—This paper addresses the problem of using noncausal hidden Markov models (HMMs) for texture classification. In noncausal models, the state of each pixel may be dependent on its neighbors in all directions. New algorithms are given to learn the parameters of a noncausal HMM of a texture and to classify it into one of several learned categories. Texture classification results using these algorithms are provided.

[1] M.K. Tsatsanis and G.B. Giannakis,“Object and texture classification using higher order statistics,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, no. 7, pp. 733-750, July 1992.
[2] P.A. Devijver,“Image segmentation using causal Markov random field models,” Fourth Int’l Conf. Pattern Recognition, J. Kittler, ed., pp. 131-143,Cambridge, U.K., Mar.28-30, 1988.
[3] J. Besag,“Statistical analysis of nonlattice data,” The Statistician, vol. 24, no. 3, pp. 179-195, 1975.
[4] J. Besag,“On the statistical analysis of dirty pictures,” J. Royal Statistical Soc., Series B, vol. 48, no. 3, pp. 259-302, 1986.
[5] J. Besag,“Spatial interaction and the statistical analysis of latticesystems,” J. Royal Statistical Soc., Series B, vol. 36, no. 2, pp. 192-236, 1974.
[6] G.R. Cross and A.K. Jain,“Markov random field texture models,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 5, no. 1, pp. 25-39, Jan. 1983.
[7] K. Abend,T.J. Hartley,, and L.N. Kanal,“Classification of binary random patterns,” IEEE Trans. Information Theory, vol. 11, no. 4, pp. 538-544, Oct. 1965.
[8] A.R. Rao and R. Jain,“The analysis of oriented textures through phase portraits,” IBM Research Report RC 15465 (#68757), Feb.7, 1990.
[9] R. Chellapa,S. Chatterjee,, and R Bagdazian,“Texture synthesis and compression using Gaussian-Markov random fieldmodels,” IEEE Trans. Systems, Man, and Cybernetics, vol. 15, pp. 298-303, 1985.
[10] P. Brodatz,Textures.New York: Dover, 1966.
[11] T.E. Hall, private communication, 1992.

Index Terms:
Texture, texture classification, texture modeling, hidden Markov model, noncausal hidden Markov model, computer vision, learning.
Bennett R. Povlow, Stanley M. Dunn, "Texture Classification Using Noncausal Hidden Markov Models," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 10, pp. 1010-1014, Oct. 1995, doi:10.1109/34.464564
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