Skip to main content
Log in

Fuzzy c-means clustering with non local spatial information for noisy image segmentation

  • Research Article
  • Published:
Frontiers of Computer Science in China Aims and scope Submit manuscript

Abstract

As an effective image segmentation method, the standard fuzzy c-means (FCM) clustering algorithm is very sensitive to noise in images. Several modified FCM algorithms, using local spatial information, can overcome this problem to some degree. However, when the noise level in the image is high, these algorithms still cannot obtain satisfactory segmentation performance. In this paper, we introduce a non local spatial constraint term into the objective function of FCM and propose a fuzzy cmeans clustering algorithm with non local spatial information (FCM_NLS). FCM_NLS can deal more effectively with the image noise and preserve geometrical edges in the image. Performance evaluation experiments on synthetic and real images, especially magnetic resonance (MR) images, show that FCM_NLS is more robust than both the standard FCM and the modified FCM algorithms using local spatial information for noisy image segmentation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Otsu N. A threshold selection method from gray-level histograms. IEEE Transactions on Systems, Man, and Cybernetics, 1979, 9(1): 62–66

    Article  MathSciNet  Google Scholar 

  2. Baradez M O, McGuckin C P, Forraz N, Pettengellc R, Hoppe A. Robust and automated unimodal histogram thresholding and potential applications. Pattern Recognition, 2004, 37(6): 1131–1148

    Article  Google Scholar 

  3. Pappas T N. An adaptive clustering algorithm for image segmentation. IEEE Transactions on Signal Processing, 1992, 40(4): 901–914

    Article  Google Scholar 

  4. Cinque L, Foresti G, Lombardi L. A clustering fuzzy approach for image segmentation. Pattern Recognition, 2004, 37(9): 1797–1807

    Article  MATH  Google Scholar 

  5. Chen S C, Zhang D Q. Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure. IEEE Trans System, Man, and Cybernetics. Part B: Cybernetics, 2004, 34(4): 1907–1916

    Article  Google Scholar 

  6. Caldairou B, Passat N, Habas P A, Studholme C, Rousseau F. A non-local fuzzy segmentation method: application to brain MRI. Pattern Recognition, 2010 (in press)

  7. Hojjatoleslami S A, Kittler J. Region growing: a new approach. IEEE Trans Image Processing, 1998, 7(7): 1079–1084

    Article  Google Scholar 

  8. Osher S, Paragios N. Geometric Level Set Methods in Imaging, Vision, and Graphics. New York: Springer-Verlag, 2003

    MATH  Google Scholar 

  9. Bezdek J C. Pattern Recognition With Fuzzy Objective Function Algorithms. New York: Plenum Press, 1981

    MATH  Google Scholar 

  10. Ahmed MN, Yamany SM, Mohamed N, Farag A A, Moriarty T. A modified fuzzy C-means algorithm for bias field estimation and segmentation of MRI data. IEEE Transactions on Medical Imaging, 2002, 21(3): 193–199

    Article  Google Scholar 

  11. Zhang D Q, Chen S C. A novel kernelized fuzzy C-means algorithm with application in medical image segmentation. Artificial Intelligence in Medicine, 2004, 32(1): 37–50

    Article  Google Scholar 

  12. Szilágyi L, Benyo Z, Szilágyi S, Adam H S. MR brain image segmentation using an enhanced fuzzy C-means algorithm. In: Proceedings of 25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. 2003, 724–726

  13. Cai W, Chen S, Zhang D. Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition, 2007, 40(3): 825–838

    Article  MATH  Google Scholar 

  14. Buades A, Coll B, Morel J M. A non-local algorithm for image denoising. In: Procceeding of 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 2005, 60–65

  15. Wu M, Schölkopf B. A local learning approach for clustering. In: Proceedings of 20th Annual Conference on Neural Information Processing Systems. 2007, 1529–1536

  16. Bezdek J C. Cluster validity with fuzzy sets. Cybernetics and Systems, 1973, 3(3): 58–73

    Article  MathSciNet  MATH  Google Scholar 

  17. Bezdek J C. Mathematical models for systematic and taxonomy. In: Proceedings of 8th International Conference on Numerical Taxonomy. 1975, 143–166

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Feng Zhao.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, F., Jiao, L. & Liu, H. Fuzzy c-means clustering with non local spatial information for noisy image segmentation. Front. Comput. Sci. China 5, 45–56 (2011). https://doi.org/10.1007/s11704-010-0393-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11704-010-0393-8

Keywords

Navigation