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  • ACRS 1999


    Hyper Spectral Image Processing
    Adaptable Class Data Representation for Hyperspectral Image Classification

    4. Discussion and Conclusion
    Cluster-space data representation plays an important role in data analysis, especially for hyperspectral data. Firstly, class distributions (spreadness) can be easily inspected. More importantly, the separability between the classes can be examined and quantified. For example, 6.7% and 5.4% of the training pixels from class 2, ‘Corn’, and class 3, ‘Grass’, are classified into Cluster 2 (none from the rest of classes). While Cluster 2 will be assigned to class 2, those samples can be selected for detailed examination in order to find out the physical reasons for overlapping. There may be some bad samples which should be deleted from the reference data. Secondly, the probability (density) values, Hi(k), provides extra information on how reliable the classification results are. For example, if an unknown pixel is labeled as Cluster 2 and therefore classified as ‘corn’, the assignment is not very reliable since Cluster 2’s probability value is only 6.7%.

    To reduce the number of overlapping clusters, the total number of clusters to generate needs to be sufficiently high. However, the selection of the number of clusters to use requires experience or trial and error. If a large number of clusters is used, it will increase the computational load.

    The shapes of the density plots as shown in Fig. 2 are less important, since whatever the shape, it will be represented directly by the discrete density values. If a shape which is closed to a normal distribution is preferred for better presentation, it can be achieved by reordering the cluster index, assuming the class data is reasonably separable.

    The proposed classification method provides a means to represent data which are distributed other than normally. The multiple signatures formed from the associated clusters are adaptable to the individual class distribution shape. On the basis of experiments conducted so far, classification accuracy will be higher than that using minimum distance classification. While the method is not as robust as the maximum likelihood method in terms of coping with the noise in the data, the requirement for the training data size can normally be met more easily for hyperspectral data.

    5. Acknowledgement
    The work presented in this paper was done in part when the author was a Visiting Fellow in the Department of Forestry, The Australian National University and the author thanks Dr. B. Turner for his helpful discussions during that time. The author also thanks Dr. D. Landgrebe of the School of Electrical and Computer Engineering, Purdue University, for providing the AVIRIS data set and the MultiSpec software package.

    6. Reference
    • Benediktsson, J.A., Swain, P.H. and Ersoy, O.K., 1993. Conjugate-gradient neural networks in classification of multisource and very-high-dimensional remote sensing data. Int. J. Remote Sensing, 14(15), pp. 2883-2903.
    • Hughes, G. F., 1968. On the mean accuracy of statistical pattern recognizers. IEEE Transactions on Information Theory, IT-14 (1), pp. 55 - 63.
    • Richards, J.A. and Jia, X., 1999. Remote Sensing Digital Image Analysis. 3 rd Ed. Springer-Verlag, Berlin.
    • Landgrebe, D.A. and Biehl, L., 1999. An introduction to MultiSpec. West Lafayette, IN, Purdue Univ. Press.
    • Schowengerdt, R.A., 1997. Remote Sensing Models and Methods for Image Processing. Academic Press, San Diego.
    • Skidmore A.K. and Turner, B.J., 1988. Forest mapping accuracies are improved using a supervised nonparametric classifier with SPOT data. Photogrammetric Engineering and Remote Sensing, 54 (10), pp. 1415-1421.
    • Swain, P.H. and Davis, S.M. (eds), 1978. Remote Sensing: The Quantitative Approach. McGraw-Hill, New York.
    • Wan, W. and Fraser, D., 1994. Multiple Kohonen SOMs: Supervised and unsupervised formation. Proc. ACNN’94, Brisbane, Australia, pp. 17-20.
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