The International Arab Journal of Information Technology (IAJIT)

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Image Segmentation by Gaussian Mixture Models and Modified FCM Algorithm

The Expectation Maximization (EM) algorithm and th e clustering method Fuzzy(C(Means (FCM) are widely used in image segmentation. However, the major drawback of these methods is their sensitivity to the noise. In this paper, we propose a variant of these methods which aim at resolving t his problem. Our approaches proceed by the characte rization of pixels by two features: the first one describes the intrinsic properties of the pixel and the second characteriz es the neighborhood of pixel. Then, the classification is made on the bas e on adaptive distance which privileges the one or the other features according to the spatial position of the pixel in t he image. The obtained results have shown a signifi cant improvement of our approaches performance compared to the standard ver sion of the EM and FCM, respectively, especially regarding about the robustness face to noise and the accuracy of the ed ges between regions.


[1] Ahmed N., Yamany M., Mohamed N., and Farag N., A Modified Fuzzy C$Means Algorithm for Bias Field Estimation and Segmentation of MRI Data, IEEE Transaction on Medical Imaging , vol. 21, no. 3, pp. 193$199, 2002.

[2] Bezdek C., Pattern Recognition with Fuzzy Objective Functions Algorithms , Plenum Press, New York, 1981.

[3] Cai W., Chen S., and Zhang D., Fast and Robust Fuzzy Cmeans Clustering Algorithms Incorporating Local Information for Image Segmentation, Pattern Recognition , vol. 40, no. 3, pp. 825$838, 2007.

[4] Chuang S., Tzeng L., Chen S., Wu j., and Chen T., Fuzzy C$Means Clustering with Spatial Information for Image Segmentation, Elsevier Science , vol. 30, no. 1, pp. 9$15, 2006.

[5] Chen C. and, Zhang Q., Robust Image Segmentation using FCM with Spatial Constraints Based in New Kernel$Induced Distance Measure, IEEE Transaction. Systems Man Cybernetics , vol. 34, no. 4, pp.1907$1916, 2004.

[6] Dempster A., Larid N., and Rubin D., Maximum Likelihood From Incomplete Data via the EM Algorithm, Journal of the Royal Statistical Society , vol. 39, no. 1, pp. 1$38, 1977.

[7] Figueiredo A. and Jain K., Unsupervised Learning of Finite Mixture Models, IEEE Transaction on Pattern Analysis and Machin Intelligence , vol. 24, no. 3, pp. 381$396, 2002.

[8] Hemanth J., Selvathi D., and Anitha J., Effective Fuzzy Clustering Algorithm for Abnormal MR Brain Image Segmentation, in Proceedings of IEEE International Advance Computing Conference , Patiala, pp. 609$614, 2009.

[9] Jain K., Murty N., and Flynn J., Data Clustering: A Review, ACM Computing Surveys , vol. 31, no. 3, pp. 264$323, 1999.

[10] Kawa J. and Pietka E., Image Clustering with Median and Myriad Spatial Constraint Enhanced FCM, in Proceedings of the 4 th International Conference on Computer Recognition Systems , Berlin, vol. 30, pp. 211$218, 2005.

[11] Oussema A., A Comparison Between Data Clustering Algorithms, International Arab Journal of Information Technology , vol. 5, no. 3, pp. 320$325, 2008.

[12] Tolias A. and Panas M., On Applying Spatial Constraints in Fuzzy Image Clustering using a Fuzzy Rule Based System, IEEE Signal Processing Letters , vol. 5, no. 10, pp. 245$247, 1998.

[13] Wang J., Dou L., Che N., Liu D., Zhang B., and Kong J., Local Based Fuzzy Clustering for Segmentation of MR Brain Images, in Proceedings of the 8 th IEEE International Conference on Bioinformatics and Bioengineering , Athens, pp. 1$5, 2008.

[14] Xu L. and Jordan I., On Convergence Properties of the EM Algorithme for Gaussian Mixture, Neural Computation, vol. 8, no. 1, pp. 129$151, 1996.

[15] Xian G., Chen K., and Yuan M., Medical Brain MRI Images Segmentation by Improved Fuzzy C$Means Clustering Analysis, Journal of Jilin University Engineering and Technology Edition vol. 39, no. 2, pp.381$385, 2009.

[16] Yamazaki T., Introduction of EM Algorithm into Color Image Segmentation, in Proceedings of International Consultation on Incontinence Research Society , pp. 368$371, 1998.

[17] Zadeh L., Fuzzy Sets, Information and Control , vol. 8, no. 3, pp. 338$353, 1965. Karim Kalti is an assistant professor in the Department of Computer Science of the Faculty of Science of Monastir, and member of research unit Sage (Advanced System in Electrical Engineeering) team signals, image and document National Engineering School of Sousse, University o f Sousse. His research interests include Computer vis ion, pattern recognition, medical imaging and data retri eval. He is a member of IEEE and his main results have been published in international journals and conferences. 18 The International Arab Journal of Information Technology, Vol. 11, No. 1, January 2014 Mohamed Mahjoub is an assistant professor in the Department of Computer Science and mathmatic at the Preparatory Institute of Engineering of Monastir and member of research unit Sage (Advanced System in Electrical Engineering), team signals, image and document National Engineering School of Sousse, University of Sousse. His research interests include dynamic bayesian network, computer vision, pattern recognition, HMM, and data retrieval. He is a member of IEEE and his main results have been published in international journals and conferences.