Image Clustering with Median and Myriad Spatial Constraint Enhanced FCM

  • Jacek Kawa
  • Ewa Pietka
Part of the Advances in Soft Computing book series (AINSC, volume 30)


In the current study two approaches to the clustering problem have been tested. First, a sequential analysis of -ltering and fuzzy c-means (FCM) method is performed. Then, the standard FCM has been modi-ed by adding to the objective function a second term that formulates a spatial constraint. In both approaches mean, median, and myriad are implemented. The analysis has been performed on a synthetic image and clinical images.


Membership Function Spatial Constraint Pepper Noise Image Cluster Corrupted Image 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Zadeh LA (1965) Fuzzy sets. Information and Control 8:338–358zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Bezdek JC (1981) Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New YorkzbMATHGoogle Scholar
  3. 3.
    Kalluri S, Arce GR (2000) Fast algorithms for weighted myriad computation by-xed-point search. IEEE Trans. Signal Processing 48:159–171zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    Przybyla T (2004) Robust fuzzy data-clustering methods. PhD Thesis, Silesian University of Technology, Gliwice (in Polish)Google Scholar
  5. 5.
    Gonzales JG, Arce GR (2001) Optimality of the myriad filter in practical impulsive-noise environment. IEEE Trans. Signal Processing 49:438–444CrossRefGoogle Scholar
  6. 6.
    Chen S, Zhang D (2004) Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure. IEEE Trans. System, Man, and Cybernetics—Part B. 34:1907–1916CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Jacek Kawa
    • 1
  • Ewa Pietka
    • 1
  1. 1.Department of Biomedical EngineeringSilesian University of TechnologyGliwicePoland

Personalised recommendations