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Journal of Fuzzy Logic and Modeling in Engineering

Editor-in-Chief

ISSN (Print): 2666-2949
ISSN (Online): 2666-2957

Research Article

A New Cutset-type Kernelled Possibilistic C-means Clustering Segmentation Algorithm Based on SLIC Super-pixels

Author(s): Jiulun Fan, Haiyan Yu*, Yang Yan and Mengfei Gao

Volume 1, Issue 1, 2022

Published on: 05 January, 2021

Article ID: e010621189941 Pages: 17

DOI: 10.2174/2666294901666210105141957

Abstract

Background: The kernelled possibilistic C-means clustering algorithm (KPCM) can effectively cluster hyper-sphere data with noise and outliers by introducing the kernelled method to the possibilistic C-means clustering (PCM) algorithm. However, the KPCM still suffers from the same coincident clustering problem as the PCM algorithm due to the lack of between-class relationships.

Introduction: This paper introduces the cut-set theory into the KPCM and proposes a novel cutsettype kernelled possibilistic C-means clustering (C-KPCM) algorithm to solve the coincident clustering problem of the KPCM.

Methods: In the C-KPCM, the memberships of some data samples in a cluster core which is generated by the cut-set theory are selected. Then the values of the selected memberships are modified in the iterative process to introduce the between-class relationship in the KPCM. Simultaneously an adaptive method of estimating the cut-set threshold is also given by averaging inter-class distances. Additionally, a cutset-type kernelled possibilistic C-means clustering segmentation algorithm based on the SLIC super-pixels (SS-C-KPCM) is also proposed to improve the segmentation quality and efficiency of the color images

Results: Several experimental results on artificial data sets and image segmentation simulation results prove the excellent performance of the proposed algorithms in this paper.

Conclusion: The proposed C-KPCM can overcome the coincident clustering problem of the KPCM algorithm and the proposed SS-C-KPCM can reduce the misclassification points and improve the color segmentation performance.

Keywords: Possibilistic clustering, kernelled possibilistic clustering, cut-set theory, super-pixels, image segmentation, Cmeans clustering.

[1]
C. Bezdek, Pattern recognition with fuzzy objective functions algorithms., Plenum Press: New York, 1981.
[2]
R. Krishnapuram, and J.M. Keller, "A possibilistic approach to clustering", IEEE Trans. Fuzzy Syst., vol. 1, no. 2, pp. 98-110, 1993.
[3]
M.B. Ferraro, and P. Giordani, "On possibilistic clustering with repulsion constraints for imprecise data", Inf. Sci., vol. 245, pp. 63-75, 2013.
[4]
S. Askari, N. Montazerin, and Z.M.H. Fazel, "Generalized entropy based possibilistic fuzzy C-Means for clustering noisy data and its con-vergence proof", Neurocomputing, vol. 219, pp. 186-202, 2017.
[5]
J.P. Sarkar, I. Saha, and U. Maulik, "Rough Possibilistic Type-2 Fuzzy C-Means clustering for MR brain image segmentation", Appl. Soft Comput., vol. 46, pp. 527-536, 2016.
[http://dx.doi.org/10.1016/j.asoc.2016.01.040]
[6]
Z.P. Xie, S.T. Wang, and F.L. Chung, "An enhanced possibilistic c-means clustering algorithm EPCM", Soft Comput., vol. 12, pp. 593-611, 2008.
[http://dx.doi.org/10.1007/s00500-007-0231-6]
[7]
H. Timm, and C. Borgelt, "An extension to possibilistic fuzzy cluster analysis", Fuzzy Sets Syst., vol. 147, no. 1, pp. 3-16, 2004.
[http://dx.doi.org/10.1016/j.fss.2003.11.009]
[8]
N.R. Pal, K. Pal, and J.M. Keller, "A possibilistic fuzzy c-means clustering algorithm", IEEE Trans. Fuzzy Syst., vol. 13, no. 4, pp. 517-530, 2005.
[http://dx.doi.org/10.1109/TFUZZ.2004.840099]
[9]
F-Q. Li, S-L. Wang, and G-S. Liu, "A Bayesian Possibilistic CMeans clustering approach for cervical cancer screening", Inf. Sci., Vol., p. 501, 2019.
[http://dx.doi.org/10.1016/j.ins.2019.05.089]
[10]
J.S. Zhang, and Y.W. Yeung, "Improved possibilistic c-means clustering algorithms", IEEE Trans. Fuzzy Syst., vol. 12, no. 2, pp. 209-217, 2004.
[http://dx.doi.org/10.1109/TFUZZ.2004.825079]
[11]
S.D. Xenaki, K.D. Koutroumbas, and A.A. Rontogiannis, "Sparse adaptive possibilistic clustering", 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014pp. 3072-3076 Florence
[http://dx.doi.org/10.1109/ICASSP.2014.6854165]
[12]
S.D. Xenaki, K.D. Koutroumbas, and A.A. Rontogiannis, "Sparsity-Aware possibilistic clustering algorithms", IEEE Trans. Fuzzy Syst., vol. 24, no. 4, pp. 1611-1626, 2016.
[http://dx.doi.org/10.1109/TFUZZ.2016.2543752]
[13]
K.D. Koutroumbas, S.D. Xenaki, and A.A. Rontogiannis, "On the convergence of the sparse possibilistic C-means algorithm", IEEE Trans. Fuzzy Syst., vol. 26, no. 1, pp. 324-337, 2018.
[http://dx.doi.org/10.1109/TFUZZ.2017.2659739]
[14]
H.Y. Yu, “Studies on clustering algorithms based on weak fuzzy partition and image segmentation methods based on fuzzy set theory”, Xidian University: Xian, 2018.
[15]
H.Y. Yu, and J.L. Fan, "Cutset-type possibilistic c-means clustering algorithm", Appl. Soft Comput., vol. 64, pp. 401-422, 2018.
[http://dx.doi.org/10.1016/j.asoc.2017.12.024]
[16]
J. Lv, and Z.Y. Xiong, "Kernel-based possibilistic clustering algorithm", Computer Engineering and Design, vol. 27, no. 13, pp. 2466-2468, 2006.
[17]
X. Bai, Z. Chen, Y. Zhang, Z. Liu, and Y. Lu, "Infrared ship target segmentation based on spatial information improved FCM", IEEE Trans. Cybern., vol. 46, no. 12, pp. 3259-3271, 2016.
[http://dx.doi.org/10.1109/TCYB.2015.2501848] [PMID: 26672055]
[18]
L. Wan, T. Zhang, and Y. Xiang, "A robust fuzzy c-means algorithm based on bayesian nonlocal spatial information for SAR image seg-mentation", IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens., vol. 11, no. 3, pp. 896-906, 2018.
[http://dx.doi.org/10.1109/JSTARS.2018.2792841]
[19]
A. Ngatchou, L. Bitjoka, and E. Mfoumou, "Robust and fast segmentation based on fuzzy clustering combined with unsupervised histogram analysis", IEEE Intell. Syst., vol. 32, no. 5, pp. 6-13, 2017.
[http://dx.doi.org/10.1109/MIS.2017.3711645]
[20]
R. Lan, and Q. Zhao, "Suppressed fuzzy C-means clustering image segmentation algorithm based on combined iteration with double centers", Control and Decision, pp. 1-18, 2019.
[21]
R. Achanta, A. Shaji, K. Smith, A. Lucchi, P. Fua, and S. Süsstrunk, "SLIC superpixels compared to state-of-the-art superpixel methods", IEEE Trans. Pattern Anal. Mach. Intell., vol. 34, no. 11, pp. 2274-2282, 2012.
[http://dx.doi.org/10.1109/TPAMI.2012.120] [PMID: 22641706]
[22]
D.Q. Zhang, and S.C. Chen, "Clustering incomplete data using Kernel-based Fuzzy C-Means algorithm", Neural Process. Lett., vol. 18, no. 3, pp. 155-162, 2003.
[http://dx.doi.org/10.1023/B:NEPL.0000011135.19145.1b]
[23]
T. Lei, X. Jia, and Y. Zhang, "Superpixel-based fast fuzzy c-means clustering for color image segmentation", IEEE Trans. Fuzzy Syst., Vol, pp. 1-1, 2018.

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