Abstract
Fuzzy c-means (FCM) algorithm has been widely used in image segmentation. However, the traditional FCM algorithm does not take into account any image spatial information, which makes it very sensitive to noise. In order to make improvements on the basis of FCM, we proposed a fuzzy entropy clustering image segmentation algorithm based on potential two-dimensional histogram. Firstly, the two-dimensional gray histogram is constructed by using the gray value of image pixels and its local spatial uniform gray value, and the potential function is used to map-the mutual influence between image pixels into the data field, so as to describe the interaction between pixels more accurately. Secondly, the kernel function will be used to map the data to a high dimensional space to complete the linear transformation, this makes the data in the original space linearly indivisible become linearly separable or approximately linearly separable, which overcomes the defect that FCM is not suitable for multiple data distributions in some extent. Finally, the iterative formula of image segmentation is obtained by Lagrange multiplier method. Experimental results show that the proposed algorithm has higher correct segmentation rate and stronger robustness.
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References
Mahata, N., Kahali, S., Adhikari, S.K., et al.: Local contextual information and gaussian function induced fuzzy clustering algorithm for brain mr image segmentation and intensity inhomogeneity estimation. Appl. Soft Comput. 68, 586–596 (2018)
Liu, J.A.: Fuzzy clustering method for image segmentation based on two-dimensional histogram. Acta Electronica Sin. (9), 40–46 (1992)
Hou, X., Wu, C.: Adaptive weighted two-dimensional histogram FCM segmentation algorithm. J. Image Graph. 20(10), 1331–1339 (2015)
Tran, D., Wagner, M.: Fuzzy entropy clustering. In: IEEE International Conference on Fuzzy Systems (2000)
Tao, W.: Cognitive physics method for image segmentation. China Water & Power Press, GuangDong (2015)
Tao, W., Yi-Fu, J., Rui, H., et al.: Cognitive physics-based method for image edge representation and extraction with uncertainty. Acta Phys. Sin.-Chin. Ed. 62(6), 675 (2013)
Wu, Q., Wu., C.: Fast robust kernel-based fuzzy c-means clustering segmentation. J. Image Graph. 23(12), 1838–1851 (2018)
Wu, Z.D., Xie, W.X., Yu, J.P.: Fuzzy c-means clustering algorithm based on kernel method. In: Computational Intelligence and Multimedia Applications (2003)
Advanced Multimedia Processing (AMP) Lab. http://chenlab.ece.cornell.edu/downloa-d-s.html. Accessed 6 May 2019
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Li, C., Zhang, X., Lei, L. (2020). Fuzzy Entropy Clustering Image Segmentation Algorithm Based on Potential Two-Dimensional Histogram. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_93
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DOI: https://doi.org/10.1007/978-3-030-32456-8_93
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