Abstract
With the increase in sample number or image size, it is very important to improve the efficiency of picture fuzzy clustering algorithm in data classification or image segmentation. This paper presents an algorithm to improve the convergence speed of picture fuzzy clustering for large-scale data. According to the existing suppression fuzzy clustering idea, the maximum value of picture fuzzy partition information of picture fuzzy clustering is further increased and other values are decreased. The modified picture fuzzy partition information is used to update the cluster center of the sample, which speeds up the convergence speed of the algorithm. The adaptive selection of suppression factors makes the picture fuzzy clustering obtain faster operation efficiency and better segmentation performance. In order to further improve the performance of picture fuzzy clustering algorithm for noise image segmentation, an adaptive robust suppression picture fuzzy clustering algorithm with neighborhood spatial information constraints is proposed. Experimental results show that the proposed algorithm not only shortens the operation speed of existing picture fuzzy clustering, but also improves the robustness to noise.
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References
Ahmed MN, Yamany SM, Mohamed N et al (2002) A modified fuzzy C-means algorithm for bias field estimation and segmentation of MRI data. IEEE Trans Med Imaging 21(3):193–199
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96
Barrah H, Cherkaoui A, Sarsri D. Robust FCM algorithm with local and gray information for image segmentation. Advances in Fuzzy Systems, vol. 2016, Article ID 6238295, 1–10
Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Adv Appl Pattern Recognit 22(1171):203–239
Bezdek JC, Ehrlich R, Full W (1984) FCM: the fuzzy C-means clustering algorithm. Comput Geosci 10(2):191–203
Chen SC, Zhang DQ (2004) Robust image segmentation using FCM with spatial constraints based on new Kernel-Induced distance measure. IEEE Trans Syst Man Cybern Part B Cybern 34(4):1907–1916
Chuang KS, Tzeng HL, Chen S et al (2006) Fuzzy C-means clustering with spatial information for image segmentation. Comput Med Imaging Graph 30(1):9–15
Cuong BC (2015) picture fuzzy sets. J Comput Sci Cybern 30(4):409–420
Fan JL (2014) A review of the research on suppressed fuzzy C-means clustering. J Xi’an Univ Posts Telecommun 19(3):1–5 (in Chinese)
Fan JL, Zhen WZ, Xie WX (2003) Suppressed fuzzy C-means clustering algorithm. Pattern Recogn Lett 24(9):1607–1612
Guo FF, Shen J, Wang XX (2016) Adaptive fuzzy C-means algorithm based on local noise detecting for image segmentation. IET Image Proc 10(4):272–279
Hung WL, Yang MS, Chen DH (2006) Parameter selection for suppressed fuzzy C-means with an application to MIR segmentation. Pattern Recognit Lett 27(5):424–438
Hung WL, Lee JS, Fuh CD (2008) Fuzzy clustering based on intuitionistic fuzzy relations. Int J Uncertain Fuzziness Knowledge-Based Syst 12(4):513–529
Klawonn F, Höppner F (2003) What is fuzzy about fuzzy flustering? Understanding and improving the concept of the fuzzifier. Lecture Notes in Computer Science. Springer, Berlin, pp 254–264
Li J, Fan JL (2014) Parameter selection for suppressed fuzzy C-means clustering algorithm based on fuzzy partition entropy. In: International conference on fuzzy systems & knowledge discovery. IEEE, pp 82–87
Li YL, Li G (2010) Fast fuzzy C-means clustering algorithm with spatial constraints for image segmentation. Lecture Notes Electr Eng 67:431–438
Saad MF, Alimi AM (2010) Improved modified suppressed fuzzy C-means. In: 2nd international conference on image processing theory, tools and applications. IEEE, pp 313–318
Szilagyi L (2015) A unified theory of fuzzy C-means clustering models with improved partition. MDAI 9321:129–140
Szilagyi L, Szilagyi SM (2014) Generalization rules for the suppressed fuzzy c-means clustering algorithm. Neurocomputing 139:298–309
Szilagyi L, Benyo Z, Szilagyi SM et al (2003) MR brain image segmentation using an enhanced fuzzy C-means algorithm. In: Proceeding of the 25th annual international conference of the ieee engineering in medicine & biology society. IEEE, pp 724–726
Szilágyi L, Szilágyi SM, Benyó Z (2010) Analytical and numerical evaluation of the suppressed fuzzy c-means algorithm: a study on the competition in c-means clustering models. Soft Computing A Fusion of Foundations Methodologies & Applications 14(5):495–505
Thong PH, Son LH (2016) Picture fuzzy clustering: a new computational intelligence method. Soft Comput 20(9):3549–3562
Velmurugan T (2014) Performance based analysis between K-means and fuzzy C-means clustering algorithms for connection oriented telecommunication data. Appl Soft Comput 19:134–146
Wang WH, Yang G, Ge W, Liu PD et al (2018) Fuzzy C-means clustering algorithm and its application under the condition of uneven noise. Comput Eng Appl 54(19):172–178 ((in Chinese))
Wu CM, Wu QP (2017) A robust image segmentation algorithm based on improved PFCM. J Xi’an Univ Posts Telecommun 22(05):37–43 (in Chinese)
Xu ZS (2012) Intuitionistic fuzzy clustering algorithms, intuitionistic fuzzy aggregation and clustering. Springer, Berlin, pp 159–267
Zangwell WI (1969) Nonlinear programming: a unified approach. Prentice-Hall, Englewood Cliffs
Zhang H, Wang Q, Shi W et al (2017) A novel adaptive fuzzy local information C-means clustering algorithm for remotely sensed imagery classification. IEEE Trans Geosci Remote Sens 55(9):5057–5068
Zhao F, Fan JL, Liu HQ (2014) Optimal-selection-based suppressed fuzzy C-means clustering algorithm with self-tuning non local spatial information for image segmentation. Expert Syst Appl 41(9):4083–4093
Zhong YF, Ma AL, Zhang LP (2014) An adaptive memetic fuzzy clustering algorithm with spatial information for remote sensing imagery. IEEE J Sel Top Appl Earth Obs Remote Sens 7(4):1235–1248
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This work was sponsored by the National Natural Science Foundation of China (61671377, 51709228) and the Natural Science Foundation of Shaanxi Province (2016JM8034, 2017JM6107).
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Wu, C., Liu, N. Suppressed robust picture fuzzy clustering for image segmentation. Soft Comput 25, 3751–3774 (2021). https://doi.org/10.1007/s00500-020-05403-8
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DOI: https://doi.org/10.1007/s00500-020-05403-8