Robust Semisupervised Kernelized Fuzzy Local Information C-Means Clustering for Image Segmentation

To improve the effectiveness and robustness of the existing semisupervised fuzzy clustering for segmenting image corrupted by noise, a kernel space semisupervised fuzzy C-means clustering segmentation algorithm combining utilizing neighborhood spatial gray information with fuzzy membership information is proposed in this paper. The mean intensity information of neighborhood window is embedded into the objective function of the existing semisupervised fuzzy C-means clustering, and the Lagrange multiplier method is used to obtain its iterative expression corresponding to the iterative solution of the optimization problem. Meanwhile, the local Gaussian kernel function is used to map the pixel samples from the Euclidean space to the high-dimensional feature space so that the cluster adaptability to different types of image segmentation is enhanced. Experiment results performed on different types of noisy images indicate that the proposed segmentation algorithm can achieve better segmentation performance than the existing typical robust fuzzy clustering algorithms and significantly enhance the antinoise performance.

[1]  Tran Manh Tuan,et al.  Dynamic semi-supervised fuzzy clustering for dental X-ray image segmentation: an analysis on the additional function , 2015 .

[2]  Tran Manh Tuan,et al.  A novel semi-supervised fuzzy clustering method based on interactive fuzzy satisficing for dental x-ray image segmentation , 2016, Applied Intelligence.

[3]  James C. Bezdek,et al.  Partially supervised clustering for image segmentation , 1996, Pattern Recognit..

[4]  Xinbo Gao,et al.  A novel fuzzy clustering algorithm with non local adaptive spatial constraint for image segmentation , 2011, Signal Process..

[5]  Xi Chen,et al.  A Spatial Clustering Method With Edge Weighting for Image Segmentation , 2013, IEEE Geoscience and Remote Sensing Letters.

[6]  Thomas A. Runkler,et al.  Classification and prediction of road traffic using application-specific fuzzy clustering , 2002, IEEE Trans. Fuzzy Syst..

[7]  Witold Pedrycz,et al.  Fuzzy clustering with partial supervision , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[8]  Mita Nasipuri,et al.  Conditional spatial fuzzy C-means clustering algorithm for segmentation of MRI images , 2015, Appl. Soft Comput..

[9]  Shuyuan Yang,et al.  Sparse learning based fuzzy c-means clustering , 2017, Knowl. Based Syst..

[10]  Maoguo Gong,et al.  Fuzzy C-Means Clustering With Local Information and Kernel Metric for Image Segmentation , 2013, IEEE Transactions on Image Processing.

[11]  Long Thanh Ngo,et al.  Multiple kernel approach to semi-supervised fuzzy clustering algorithm for land-cover classification , 2018, Eng. Appl. Artif. Intell..

[12]  Yun Zhang,et al.  Incorporating Adaptive Local Information Into Fuzzy Clustering for Image Segmentation , 2015, IEEE Transactions on Image Processing.

[13]  Stelios Krinidis,et al.  A Robust Fuzzy Local Information C-Means Clustering Algorithm , 2010, IEEE Transactions on Image Processing.

[14]  Himansu Sekhar Behera,et al.  Fuzzy C-Means (FCM) Clustering Algorithm: A Decade Review from 2000 to 2014 , 2015 .

[15]  Dao-Qiang Zhang,et al.  A novel kernelized fuzzy C-means algorithm with application in medical image segmentation , 2004, Artif. Intell. Medicine.

[16]  Giovanna Castellano,et al.  Shape annotation by semi-supervised fuzzy clustering , 2014, Inf. Sci..

[17]  Witold Pedrycz,et al.  Enhancement of fuzzy clustering by mechanisms of partial supervision , 2006, Fuzzy Sets Syst..

[18]  Sun Shuang-zi A Convergence Theorem of Kernel Based Fuzzy c-Means Clustering Algorithm , 2011 .

[19]  Tran Manh Tuan,et al.  A cooperative semi-supervised fuzzy clustering framework for dental X-ray image segmentation , 2016, Expert Syst. Appl..

[20]  Nong Sang,et al.  Using clustering analysis to improve semi-supervised classification , 2013, Neurocomputing.

[21]  G. Gendy,et al.  Adaptive local data and membership based KL divergence incorporating C-means algorithm for fuzzy image segmentation , 2017, Appl. Soft Comput..

[22]  E. M. L. Beale,et al.  Nonlinear Programming: A Unified Approach. , 1970 .

[23]  Witold Pedrycz,et al.  A Semi-supervised Clutsering Algorithm for Data Exploration , 2003, IFSA.

[24]  Witold Pedrycz,et al.  Data Clustering with Partial Supervision , 2005, Data Mining and Knowledge Discovery.

[25]  Dzung L. Pham,et al.  Spatial Models for Fuzzy Clustering , 2001, Comput. Vis. Image Underst..

[26]  Daoqiang Zhang,et al.  Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation , 2007, Pattern Recognit..

[27]  SUNILKUMAR MANVI,et al.  ADAPTIVE WEIGHTED-COVARIANCE REGULARIZED KERNEL FUZZY C MEANS ALGORITHM FOR MEDICAL IMAGE SEGMENTATION , 2017 .

[28]  Wenzhong Shi,et al.  Novel Approach to Unsupervised Change Detection Based on a Robust Semi-Supervised FCM Clustering Algorithm , 2016, Remote. Sens..

[29]  C. L. Philip Chen,et al.  Integrating guided filter into fuzzy clustering for noisy image segmentation , 2018, Digit. Signal Process..

[30]  Daoqiang Zhang,et al.  Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[31]  Aly A. Farag,et al.  A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data , 2002, IEEE Transactions on Medical Imaging.

[32]  S Bhagyalakshmi,et al.  Image Segmentation using Kernel Metric and Modified Weighted Fuzzy Factor , 2015 .

[33]  Chengjie Zhu,et al.  Robust Semi-supervised Kernel-FCM Algorithm Incorporating Local Spatial Information for Remote Sensing Image Classification , 2013, Journal of the Indian Society of Remote Sensing.

[34]  Yong Yang,et al.  Image Segmentation by Fuzzy C-Means Clustering Algorithm with a Novel Penalty Term , 2007, Comput. Artif. Intell..

[35]  Tzong-Jer Chen,et al.  Fuzzy c-means clustering with spatial information for image segmentation , 2006, Comput. Medical Imaging Graph..

[36]  Yu Zhang,et al.  Infrared Ship Target Segmentation Based on Spatial Information Improved FCM , 2016, IEEE Transactions on Cybernetics.

[37]  Witold Pedrycz,et al.  Algorithms of fuzzy clustering with partial supervision , 1985, Pattern Recognit. Lett..

[38]  Hamid Beigy,et al.  Active constrained fuzzy clustering: A multiple kernels learning approach , 2015, Pattern Recognit..

[39]  Nozha Boujemaa,et al.  Active semi-supervised fuzzy clustering , 2008, Pattern Recognit..

[40]  Tran Manh Tuan,et al.  Dental segmentation from X-ray images using semi-supervised fuzzy clustering with spatial constraints , 2017, Eng. Appl. Artif. Intell..

[41]  Tao Tang,et al.  A Kernel Clustering Algorithm With Fuzzy Factor: Application to SAR Image Segmentation , 2014, IEEE Geoscience and Remote Sensing Letters.

[42]  Hooshang H. Asadi,et al.  Application of semi-supervised fuzzy c-means method in clustering multivariate geochemical data, a case study from the Dalli Cu-Au porphyry deposit in central Iran , 2017 .

[43]  Ioannis A. Maraziotis,et al.  A semi-supervised fuzzy clustering algorithm applied to gene expression data , 2012, Pattern Recognit..

[44]  Miin-Shen Yang,et al.  A Gaussian kernel-based fuzzy c-means algorithm with a spatial bias correction , 2008, Pattern Recognit. Lett..

[45]  Lorenzo Bruzzone,et al.  Enhanced Spatially Constrained Remotely Sensed Imagery Classification Using a Fuzzy Local Double Neighborhood Information C-Means Clustering Algorithm , 2018, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[46]  Gang Wang,et al.  Patch-based fuzzy clustering for image segmentation , 2019, Soft Comput..

[47]  Sotirios Chatzis,et al.  A Fuzzy Clustering Approach Toward Hidden Markov Random Field Models for Enhanced Spatially Constrained Image Segmentation , 2008, IEEE Transactions on Fuzzy Systems.

[48]  Zhimin Wang,et al.  An adaptive spatial information-theoretic fuzzy clustering algorithm for image segmentation , 2013, Comput. Vis. Image Underst..

[49]  Nong Sang,et al.  A study on semi-supervised FCM algorithm , 2012, Knowledge and Information Systems.

[50]  Liangpei Zhang,et al.  An Adaptive Memetic Fuzzy Clustering Algorithm With Spatial Information for Remote Sensing Imagery , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[51]  Yogita K. Dubey,et al.  FCM Clustering Algorithms for Segmentation of Brain MR Images , 2016, Adv. Fuzzy Syst..

[52]  Habib Zaidi,et al.  A novel fuzzy C-means algorithm for unsupervised heterogeneous tumor quantification in PET. , 2010, Medical physics.

[53]  Q. M. Jonathan Wu,et al.  Dynamic Fuzzy Clustering and Its Application in Motion Segmentation , 2013, IEEE Transactions on Fuzzy Systems.

[54]  Hadi Seyedarabi,et al.  A Modified FCM Algorithm for MRI Brain Image Segmentation , 2011, 2011 7th Iranian Conference on Machine Vision and Image Processing.