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Image Segmentation Based on FCM with Mahalanobis Distance

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Information Computing and Applications (ICICA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6377))

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Abstract

For its simplicity and applicability, fuzzy c-means clustering algorithm is widely used in image segmentation. However, fuzzy c-means clustering algorithm has some problems in image segmentation, such as sensitivity to noise, local convergence, etc. In order to overcome the fuzzy c-means clustering shortcomings, this paper replaces Euclidean distance with Mahalanobis distance in the fuzzy c-means clustering algorithm. Experimental results show that the proposed algorithm has a significant improvement on the effect and efficiency of segmentation comparing with the standard FCM clustering algorithm.

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References

  1. Luis, G.U., Eli, S., Sreenath, R.V., et al.: Automatic Image Segmentation by Dynamic Region Growth and Multiresolution Merging. IEEE Trans. on Image Processing 10, 2275–2288 (2009)

    Google Scholar 

  2. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)

    Book  MATH  Google Scholar 

  3. Wu, K.L., Yang, M.S.: An Alternative Fuzzy C-Means Clustering Algorithm. Pattern Recognition 35, 2267–2278 (2002)

    Article  MATH  Google Scholar 

  4. Xing, H.J., Hu, B.G.: Adaptive Fuzzy C-Means Clustering-based Mixtures of Experts Model for Unlabeled Data Classification. Neuro computing 71, 1008–1021 (2008)

    Google Scholar 

  5. Kang, J.Y., Min, L.Q., Luan, Q.X., et al.: Novel Modified Fuzzy C-Means Algorithm with Applications. Digital Signal Process 2, 309–319 (2009)

    Article  Google Scholar 

  6. Hoppner, F., Klawonn, F.: A Contribution to Convergence Theory of Fuzzy C-Means and Derivatives. IEEE Trans. on Fuzzy Systems 5, 682–694 (2003)

    Article  Google Scholar 

  7. Yang, L., Lin, R.: Distance Metric Learning: a Comprehensive Survey. Technical Report, Michigan State University (2006)

    Google Scholar 

  8. Weinberger, K., Blitzer, J., Saul, L.: Distance Metric Learning for Large Margin Nearest Neighbor Classification. In: Advances in NIPS, pp. 1473–1480. MIT Press, Cambridge (2006)

    Google Scholar 

  9. Globerson, A., Roweis, S.: Metric Learning by Collapsing Classes. In: Advances in NIPS, pp. 451–458. MIT Press, Cambridge (2006)

    Google Scholar 

  10. Torresani, L., Lee, K.C.: Large Margin Component Analysis. In: Advances in NIPS, pp. 1385–1392. MIT Press, Cambridge (2007)

    Google Scholar 

  11. Xing, E.P., Ng, A.Y., Jordan, M.I., Russell, S.: Distance Metric Learning, with Application to Clustering with Side-information. In: Advances in NIPS, pp. 505–512. MIT Press, Cambridge (2002)

    Google Scholar 

  12. Gustafson, E., Kessel, W.: Fuzzy Clustering with a Fuzzy Covariance Matrix. In: Proc. IEEE Conf. on Decision and Control, pp. 761–766 (1979)

    Google Scholar 

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Zhang, Y., Li, Z., Cai, J., Wang, J. (2010). Image Segmentation Based on FCM with Mahalanobis Distance. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Lecture Notes in Computer Science, vol 6377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16167-4_27

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  • DOI: https://doi.org/10.1007/978-3-642-16167-4_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16166-7

  • Online ISBN: 978-3-642-16167-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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