FAN Jiulun, ZHANG Hong. A Unique Relative Entropy-Based Symmetrical Co-occurrence Matrix Thresholding with Statistical Spatial Information[J]. Chinese Journal of Electronics, 2015, 24(3): 622-626. doi: 10.1049/cje.2015.07.031
Citation: FAN Jiulun, ZHANG Hong. A Unique Relative Entropy-Based Symmetrical Co-occurrence Matrix Thresholding with Statistical Spatial Information[J]. Chinese Journal of Electronics, 2015, 24(3): 622-626. doi: 10.1049/cje.2015.07.031

A Unique Relative Entropy-Based Symmetrical Co-occurrence Matrix Thresholding with Statistical Spatial Information

doi: 10.1049/cje.2015.07.031
Funds:  This work is supported by the National Science Foundation of China (No.61102095, No.61340040), and the Provincial Natural Science Foundation research project of Shanxi (No.2012JQ8045).
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  • Corresponding author: ZHANG Hong (corresponding author) was born in Pingyao, Shanxi province in 1976. She received M.S. degree from Xi'an University of Science and Technology in 2002, and then worked at Xi'an University of Posts and Telecommunications. Currently, she is a Ph.D. candidate at the school of Electronic Engineering of Xidian University. Her research interests focus on pattern recognition and image processing. (Email:
  • Received Date: 2013-10-25
  • Rev Recd Date: 2014-05-12
  • Publish Date: 2015-07-10
  • Thresholding based on gray-gray cooccurrence matrix is a local thresholding technique. Relative entropy is usually used to gauge the relative difference of uncertainties in two physical systems, and the relative entropy-based asymmetrical co-occurrence matrix thresholding has been applied successfully. We propose to construct symmetrical co-occurrence matrix with the statistical spatial information from the mean values in object and background regions of an image. In this way, a unique relative entropy-based symmetrical co-occurrence matrix thresholding method is derived. Computer-simulation results demonstrated the higher adaptability and efficiency of the proposed method, as compared with square distance based symmetrical co-ocurrence matrix thresholding, Otsu's and relative entropy methods.
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  • A. Yimit, Y. Hagihara and T. Miyoshi, "2-D direction histogram based entropic thresholding", Neurocomputing, Vol.120, No.11, pp.287-297, 2013.
    M. Sezgin and B. Sankur, "Survey over image thresholding techniques and quantitative performance evaluation", Journal of Electronic Imaging, Vol.13, No.1, pp.146-168, 2004.
    L. Cong, H.L. Meng, H.L. Qin, et al., "Weak GPS signal acquisition method using variable threshold", Chinese Journal of Electronics, Vol.22, No.4, pp.838-842, 2013.
    B. Li, W.J. Liu and L.H. Dou, "Unsupervised learning of gaussian mixture model with application to image segmentation", Chinese Journal of Electronics, Vol.19, No.3, pp.451-456, 2010.
    E.D. Jansing, T.A. Albest and D.L. Chenoweth, "Twodimensional entropic segmentation", Pattern Recognition Letters, Vol.20, No.3, pp.329-336, 1999.
    P.K. Sahoo and G. Arora, "A thresholding method based on two-dimensional Renyi's entropy", Pattern Recognition, Vol.30, No.1, pp.71-84, 1997.
    M.P. de Albuquerque, I.A. Esquef, A.R. Gesualdi Mello, et al., "Image thresholding using Tsallis entropy", Pattern Recognition Letters, Vol.25, No.9, pp.1059-1065, 2004.
    S. Kullback, Information Theory and Statistics, New York, Wiley, 1959.
    C.H. Li and C.K. Lee, "Minimum cross entropy thresholding", Pattern Recognition, Vol.26, No.4, pp.617-625, 1993.
    C.I. Chang, K. Chen, J. Wang, et al., "A relative entropy-based approach to image thresholding", Pattern Recognition, Vol.27, No.9, pp.1275-1289, 1994.
    M.P.D. Albuquerque, I.A. Esquef and E.M.P.D. Albuquerque, "Image segmentation using nonextensive relative entropy", IEEE Latin America Transactions, Vol.6, No.5, pp.477-483, 2008.
    J. Kittle and J. Illingworth, "Minimum error thresholding", Pattern Recognition, Vol.19, No.1, pp.41-47, 1986.
    J.L. Fan and W.X. Xie, "Minimum error thresholding: A note", Pattern Recognition Letters, Vol.18, No.8, pp.705-709, 1997.
    J.L. Fan, "Notes on Poisson distribution-based minimum error thresholding", Pattern Recognition Letters, Vol.19, No.5-6, pp.425-431, 1998.
    R.M. Haralick, "Statistical and structural approaches to texture", Proceedings of the IEEE, Vol.67, No.5, pp.786-804, 1979.
    L.K. Soh and C. Tsatsoulis, "Texture analysis of SAR sea ice imagery using gray-level co-occurrence matrices", IEEE Transaction on Geoscience and Remote Sensing, Vol.7, No.2, pp.780- 795, 1999.
    R. Jobanputra and D.A. Clausi, "Preserving boundaries for image texture segmentation using grey level co-occurring probabilities", Pattern Recognition, Vol.39, No.2, pp.234-245, 2006.
    X.H. Xie, "A Review of recent advances in surface defect detection using texture analysis techniques", Electronic Letters on Computer Vision and Image Analysis, Vol.7, No.3, pp.1-22, 2008.
    M.M. Mokji and S.A.R. Abu Bakar, "Adaptive thresholding based on co-occurrence matrix edge information", Journal of Computers, Vol.2, No.8, pp.44-52, 2007.
    N. Ahuja and A. Rosenfeld, "A note on the use of second-order gray-level statistics for threshold selection", IEEE Transactions on Systems, Man and Cybernetics, Vol.8, No.12, pp.859-898, 1978.
    J.S. Weszka and A. Rosenfeld, "Threshold evaluation technique", IEEE Transactions on Systems, Man and Cybernetics, Vol.8, No.7, pp.622-629, 1978.
    B. Chanda, B.B. Chaudhuri and D.D. Majumder, "On image enhancement and threshold selection using the gray-level cooccurrence matrix", Pattern Recognition Letters, Vol.3, No.2, pp.243-251, 1985.
    B. Chanda and D.D. Majumder. "A note on the use of the gray-level co-occurrence matrix in threshold selection", Signal Processing, Vol.15, No.1, pp.149-167, 1988.
    N.R. Pal and S.K. Pal, "Entropic thresholding",Signal Processing, Vol.16, No.2, pp.97-108, 1989.
    J.L. Fan and J. Ren, "Symmetric co-occurrence matrix thresholding method based on square distance", Acta Electronica Sinica, Vol.39, No.10, pp.2277-2281, 2011. (in Chinese)
    N. Otsu's, "A threshold selection method from gray-level histograms", IEEE Transactions on Systems, Man and Cybernetics, Vol.9, No.1, pp.62-66, 1979.
    Mehmet Sezgin, "Blt image references", available at http://, 2012.
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