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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, New York (1981)
Wu, K.L., Yang, M.S.: An Alternative Fuzzy C-Means Clustering Algorithm. Pattern Recognition 35, 2267–2278 (2002)
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)
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)
Hoppner, F., Klawonn, F.: A Contribution to Convergence Theory of Fuzzy C-Means and Derivatives. IEEE Trans. on Fuzzy Systems 5, 682–694 (2003)
Yang, L., Lin, R.: Distance Metric Learning: a Comprehensive Survey. Technical Report, Michigan State University (2006)
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)
Globerson, A., Roweis, S.: Metric Learning by Collapsing Classes. In: Advances in NIPS, pp. 451–458. MIT Press, Cambridge (2006)
Torresani, L., Lee, K.C.: Large Margin Component Analysis. In: Advances in NIPS, pp. 1385–1392. MIT Press, Cambridge (2007)
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)
Gustafson, E., Kessel, W.: Fuzzy Clustering with a Fuzzy Covariance Matrix. In: Proc. IEEE Conf. on Decision and Control, pp. 761–766 (1979)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)