Multivariate image segmentation with cluster size insensitive fuzzy C-means

This paper describes a technique to overcome the sensitivity of fuzzy C-means clustering for unequal cluster sizes in multivariate images. As FCM tends to balance the number of points in each cluster, cluster centres of smaller clusters are drawn to larger adjacent clusters. In order to overcome this, a modified version of FCM, called Conditional FCM, is used to balance the different sized clusters. During the clustering process, the ratios between the cluster sizes are determined and a corresponding condition is calculated. This condition value balances the influence of objects from larger clusters to smaller clusters. Experiments with the cluster size insensitive FCM (csiFCM) on different numerical datasets, synthetic and real multivariate images for different number of clusters and cluster sizes show the improvement compared to FCM and FMLE.

[1]  David A. Landgrebe,et al.  Covariance Matrix Estimation and Classification With Limited Training Data , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Boudewijn P. F. Lelieveldt,et al.  Optimal design of radial basis function neural networks for fuzzy-rule extraction in high dimensional data , 2002, Pattern Recognit..

[3]  Jacco C. Noordam,et al.  High-speed potato grading and quality inspection based on a color vision system , 2000, Electronic Imaging.

[4]  Miin-Shen Yang A survey of fuzzy clustering , 1993 .

[5]  Gerrit Polder,et al.  Hyperspectral image analysis for measuring ripeness of tomatoes. , 2000 .

[6]  James C. Bezdek,et al.  A comparison of neural network and fuzzy clustering techniques in segmenting magnetic resonance images of the brain , 1992, IEEE Trans. Neural Networks.

[7]  Palma Blonda,et al.  A survey of fuzzy clustering algorithms for pattern recognition. I , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[8]  A. Bensaid,et al.  Improved fuzzy clustering for pattern recognition with applications to image segmentation , 1995 .

[9]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[10]  Isak Gath,et al.  Unsupervised Optimal Fuzzy Clustering , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  J. C. Noordam,et al.  Multivariate image segmentation based on geometrically guided fuzzy C‐means clustering , 2002 .

[12]  L O Hall,et al.  Review of MR image segmentation techniques using pattern recognition. , 1993, Medical physics.

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

[14]  J. Bezdek Cluster Validity with Fuzzy Sets , 1973 .

[15]  Mu-Chun Su,et al.  A novel algorithm for data clustering , 2001, Pattern Recognit..

[16]  Witold Pedrycz,et al.  Conditional Fuzzy C-Means , 1996, Pattern Recognit. Lett..