Abstract
Image segmentation plays an important role in a variety of applications such as robot vision, object recognition and medical imaging,…Fuzzy clustering is undoubtedly one of the most widely used methods for image segmentation. In many cases, it happens that some characteristics of image are more significant than the others. Therefore, the introduction of a weight for each feature which defines its relevance is a natural way in image segmentation.
In this paper, we develop an efficient method for image segmentation via feature weighted fuzzy clustering model. Firstly, we formulate the feature weighted fuzzy clustering problem as a DC (Difference of Convex functions) program. DCA (DC Algorithm), an innovative approach in nonconvex programming, is then developed to solve the resulting problem. Experimental results on synthetic and real color images have illustrated the effectiveness of the proposed algorithm and its superiority with respect to the standard feature weighted fuzzy clustering algorithm in both running-time and quality of solutions.
This research has been supported by ”Fonds Européens de Développement Régional” (FEDER) Lorraine via the project InnoMaD (Innovations techniques d’optimisation pour le traitement Massif de Données).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bezdek, J.C.: Pattern recognition with fuzzy objective function algorithm. Plenum Press, New York (1981)
Carson, C., Belongie, S., Greenspan, H., Malik, J.: Color and Texture-Based Image Segmentation Using EM and Its Application to Content-Based Image Retrieval. In: Proceedings of the Sixth International Conference on Computer Vision, January 4-7, pp. 675–682 (1998)
Chan, E.Y., Ching, W.K., Michael, K.N., Huang, Z.J.: An optimizationalgorithm for clustering using weighted dissimilarity measures. Pattern Recognition 37(5), 943–952 (2004)
Haralick, R., Shapiro, L.: Image segmentation techniques. Computer Vision. Graphics and Image Processing 29, 100–132 (1985)
Hichem, F., Olfa, N.: Unsupervised learning of prototypes and attribute weights. Pattern Recognition 37(3), 567–581 (2004)
Hung, W.L., Yang, M.S., Chen, D.H.: Parameter selection for suppressed fuzzy c- means with an application to MRI segmentation. Pattern Recognition Letters 27, 424–438 (2006)
Le Thi, H.A.: DC Programming and DCA, http://lita.sciences.univ-metz.fr/~lethi
Le Thi, H.A.: Contribution à l’optimisation non convexe et l’optimisation globale: Théorie, Algoritmes et Applications. Habilitation à Diriger des Recherches, Uni. Rouen (1997)
Le Thi, H.A., Belghiti, M.T., Pham, D.T.: A new efficient algorithm based on dc programming and dca for clustering. J. of Global Optimization 37(4), 593–608 (2007)
Le Thi, H.A., Le Hoai, M., Pham, D.T.: Fuzzy clustering based on nonconvex optimisation approaches using difference of convex (DC) functions algorithms. Journal of Advances in Data Analysis and Classification 2, 1–20 (2007)
Le Hoai An, T., Le Minh, H., Phuc, N.T., Dinh Tao, P.: Noisy image segmentation by a robust clustering algorithm based on DC programming and DCA. In: Perner, P. (ed.) ICDM 2008. LNCS (LNAI), vol. 5077, pp. 72–86. Springer, Heidelberg (2008)
Le Thi, H.A., Pham, D.T.: The DC (Difference of Convex functions) Programming and DCA revisited with DC models of real world nonconvex optimization problems. Annals of Operations Research 133, 23–46 (2005)
Le Thi, H.A., Pham, D.T., Huynh, V.N.: Exact penalty techniques in DC programming. Journal of Global Optimization, 1–27 (2011), doi:10.1007/s10898-011-9765-3
Pal, N., Pal, S.: A review on image segmentation techniques. Pattern Recognition 26, 1277–1294 (1993)
Pham, D.T., Le Thi, H.A.: Convex analysis approach to d.c. programming: Theory, algorithms and applications. Acta Mathematica Vietnamica, dedicated to Professor Hoang Tuy on the occasion of his 70th birthday 22(1), 289–355 (1997)
Skarbek, W., Koschan, A.: Colour Image Segmentation: A Survey, Leiter der Fachbibliothek Informatik, Sekretariat FR, 5–4 (1994)
Verge, L.J.: Color Constancy and Image Segmentation Techniques for Applications to Mobile Robotics Universitat Politécnica de Catalunya, Thesis (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Le, H.M., Thi, B.T.N., Ta, M.T., Le Thi, H.A. (2013). Image Segmentation via Feature Weighted Fuzzy Clustering by a DCA Based Algorithm. In: Nguyen, N., van Do, T., le Thi, H. (eds) Advanced Computational Methods for Knowledge Engineering. Studies in Computational Intelligence, vol 479. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00293-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-00293-4_5
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00292-7
Online ISBN: 978-3-319-00293-4
eBook Packages: EngineeringEngineering (R0)