Unsupervised classification of polarimetric synthetic aperture Radar images using fuzzy clustering and EM clustering

Five clustering techniques are compared by classifying a polarimetric synthetic aperture radar image. The pixels are complex covariance matrices, which are known to have the complex Wishart distribution. Two techniques are fuzzy clustering algorithms based on the standard /spl lscr//sub 1/ and /spl lscr//sub 2/ metrics. Two others are new, combining a robust fuzzy C-means clustering technique with a distance measure based on the Wishart distribution. The fifth clustering technique is an application of the expectation-maximization algorithm assuming the data are Wishart. The clustering algorithms that are based on the Wishart are demonstrably more effective than the clustering algorithms that appeal only to the /spl lscr//sub p/ norms. The results support the conclusion that the pixel model is more important than the clustering mechanism.

[1]  Jong-Sen Lee,et al.  Polarimetric SAR speckle filtering and its implication for classification , 1999, IEEE Trans. Geosci. Remote. Sens..

[2]  John Law,et al.  Robust Statistics—The Approach Based on Influence Functions , 1986 .

[3]  James C. Bezdek,et al.  Generalized fuzzy c-means clustering strategies using Lp norm distances , 2000, IEEE Trans. Fuzzy Syst..

[4]  R. Krishnapuram,et al.  Fuzzy and robust formulations of maximum-likelihood-based Gaussian mixture decomposition , 1996, Proceedings of IEEE 5th International Fuzzy Systems.

[5]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[6]  Frederick Mosteller,et al.  Understanding robust and exploratory data analysis , 1983 .

[7]  C. Anderson‐Cook,et al.  An Introduction to Multivariate Statistical Analysis (3rd ed.) (Book) , 2004 .

[8]  P. Kersten The fuzzy median and the fuzzy MAD , 1995, Proceedings of 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society.

[9]  A.V. Oppenheim,et al.  The importance of phase in signals , 1980, Proceedings of the IEEE.

[10]  Jong-Sen Lee,et al.  Fuzzy classification of earth terrain covers using complex polarimetric SAR data , 1996 .

[11]  Sankar K. Pal,et al.  Fuzzy models for pattern recognition , 1992 .

[12]  Mohan M. Trivedi,et al.  Low-Level Segmentation of Aerial Images with Fuzzy Clustering , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[13]  David A. Landgrebe,et al.  Robust parameter estimation for mixture model , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[14]  T. W. Anderson An Introduction to Multivariate Statistical Analysis , 1959 .

[15]  Keinosuke Fukunaga,et al.  Introduction to Statistical Pattern Recognition , 1972 .

[16]  Ron Kwok,et al.  Classification of multi-look polarimetric SAR imagery based on complex Wishart distribution , 1994 .

[17]  Jong-Sen Lee,et al.  The use of fully polarimetric information for the fuzzy neural classification of SAR images , 2003, IEEE Trans. Geosci. Remote. Sens..

[18]  Thomas L. Ainsworth,et al.  Unsupervised classification using polarimetric decomposition and the complex Wishart classifier , 1999, IEEE Trans. Geosci. Remote. Sens..

[19]  Paul R. Kersten,et al.  Fuzzy order statistics and their application to fuzzy clustering , 1999, IEEE Trans. Fuzzy Syst..

[20]  Knut Conradsen,et al.  A test statistic in the complex Wishart distribution and its application to change detection in polarimetric SAR data , 2003, IEEE Trans. Geosci. Remote. Sens..

[21]  F. Mosteller,et al.  Understanding robust and exploratory data analysis , 1985 .

[22]  J. Bezdek,et al.  c-means clustering with the l/sub l/ and l/sub infinity / norms , 1991 .

[23]  J. Bezdek,et al.  e-Means Clustering with the I1 and I, Norms , 1991 .

[24]  N. R. Goodman Statistical analysis based on a certain multivariate complex Gaussian distribution , 1963 .

[25]  Hichem Frigui,et al.  A Robust Competitive Clustering Algorithm With Applications in Computer Vision , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[26]  Knut Conradsen,et al.  CFAR edge detector for polarimetric SAR images , 2003, IEEE Trans. Geosci. Remote. Sens..