Abstract
In this paper, we extend the basic edge-weighted centroidal Voronoi tessellation model (EWCVT) for image segmentation to a new advanced model, namely fuzzy and harmonic EWCVT model. This extended model introduces a fuzzy and harmonic form of clustering energy by combining the image intensity with cluster boundary information. Compared with the classic CVT and EWCVT methods, the fuzzy and harmonic EWCVT algorithm can not only overcome the sensitivity to the initialization and noise, but also improve the accuracy of clustering results, as verified in several biomedical images.
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
Arifin, A.Z., Asano, A.: Image segmentation by histogram thresholding using hierarchical cluster analysis. Pattern Recognition Letters 27(13), 1515–1521 (2006)
Boykov, Y., Funka-Lea, G.: Graph cuts and efficient ND image segmentation. International Journal of Computer Vision 70(2), 109–131 (2006)
Cai, W., Chen, S., Zhang, D.: Fast and robust fuzzy c-means clustering algorithms incorporating local information for image segmentation. Pattern Recognition 40(3), 825–838 (2007)
Chan, T.F., Vese, L.A.: Active contour and segmentation models using geometric PDE’s for medical imaging. In: Geometric Methods in Bio-medical Image Processing, pp. 63–75. Springer (2002)
Du, Q., Faber, V., Gunzburger, M.: Centroidal Voronoi tessellations: applications and algorithms. SIAM Review 41(4), 637–676 (1999)
Du, Q., Gunzburger, M., Ju, L., Wang, X.: Centroidal Voronoi tessellation algorithms for image compression, segmentation, and multichannel restoration. Journal of Mathematical Imaging and Vision 24(2), 177–194 (2006)
Felzenszwalb, P.F., Huttenlocher, D.P.: Efficient graph-based image segmentation. International Journal of Computer Vision 59(2), 167–181 (2004)
Hartigan, J.A., Wong, M.A.: Algorithm AS 136: a k-means clustering algorithm. Applied Statistics 28(1), 100–108 (1979)
Kanungo, T., Mount, D.M., Netanyahu, N.S., Piatko, C.D., Silverman, R., Wu, A.Y.: An efficient k-means clustering algorithm: analysis and implementation. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(7), 881–892 (2002)
Li, C., Xu, C., Gui, C., Fox, M.D.: Distance regularized level set evolution and its application to image segmentation. IEEE Transactions on Image Processing 19(12), 3243–3254 (2010)
Li, Q., Mitianoudis, N., Stathaki, T.: Spatial kernel k-harmonic means clustering for multi-spectral image segmentation. IET Image Processing 1(2), 156–167 (2007)
Ma, W.Y., Manjunath, B.S.: Edgeflow: a technique for boundary detection and image segmentation. IEEE Transactions on Image Processing 9(8), 1375–1388 (2000)
Pal, N.R., Pal, S.K.: A review on image segmentation techniques. Pattern Recognition 26(9), 1277–1294 (1993)
Paragios, N., Deriche, R.: Geodesic active regions and level set methods for supervised texture segmentation. International Journal of Computer Vision 46(3), 223–247 (2002)
Senthilkumaran, N., Rajesh, R.: Edge detection techniques for image segmentation-a survey of soft computing approaches. International Journal of Recent Trends in Engineering 1(2), 250–254 (2009)
Tobias, O.J., Seara, R.: Image segmentation by histogram thresholding using fuzzy sets. IEEE Transactions on Image Processing 11(12), 1457–1465 (2002)
Vese, L.A., Chan, T.F.: A multiphase level set framework for image segmentation using the Mumford and Shah model. International Journal of Computer Vision 50(3), 271–293 (2002)
Wang, J., Ju, L., Wang, X.: An edge-weighted centroidal Voronoi tessellation model for image segmentation. IEEE Transactions on Image Processing 18(8), 1844–1858 (2009)
Wang, J., Ju, L., Wang, X.: Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations. IEEE Transactions on Image Processing 20(11), 3242–3256 (2011)
Wang, J., Wang, X.: VCells: simple and efficient superpixels using edge-weighted centroidal Voronoi tessellations. IEEE Transactions on Pattern Analysis and Machine Intelligence 34(6), 1241–1247 (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Hu, K., Zhang, Y.J. (2014). Extended Edge-Weighted Centroidal Voronoi Tessellation for Image Segmentation. In: Zhang, Y.J., Tavares, J.M.R.S. (eds) Computational Modeling of Objects Presented in Images. Fundamentals, Methods, and Applications. CompIMAGE 2014. Lecture Notes in Computer Science, vol 8641. Springer, Cham. https://doi.org/10.1007/978-3-319-09994-1_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-09994-1_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-09993-4
Online ISBN: 978-3-319-09994-1
eBook Packages: Computer ScienceComputer Science (R0)