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Density Based Fuzzy Thresholding for Image Segmentation

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 322))

Abstract

In this paper, we introduce an image segmentation framework which applies automatic threshoding selection using fuzzy set theory and fuzzy density model. With the use of different types of fuzzy membership function, the proposed segmentation method in the framework is applicable for images of unimodal, bimodal and multimodal histograms. The advantages of the method are as follows: (1) the threshoding value is automatically retrieved thus requires no prior knowledge of the image; (2) it is not based on the minimization of a criterion function therefore is suitable for image intensity values distributed gradually, for example, medical images; (3) it overcomes the problem of local minima in the conventional methods. The experimental results have demonstrated desired performance and effectiveness of the proposed approach.

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References

  1. Sijbers, J., Verhoye, M., Scheunders, P., der Linden, A.V., Dyck, D.V., Raman, E.: Watershed-based Segmentation of 3D MR Data for Volume Quantization. Magnetic Resonance Imaging 15(6), 679–688 (1997)

    Article  Google Scholar 

  2. Clarke, L.P., Velthuizen, R.P., Camacho, M.A., Heine, J.J., Vaidyanathan, M., Hall, L.O., Thatcher, R.W., Silbiger, M.L.: MRI Segmentation: Methods and Applications. Magnetic Resonance Imaging 13(3), 343–368 (1995)

    Article  Google Scholar 

  3. Otsu, N.: A Threshold Selection Method from Gray Level Histograms. IEEE Trans. Sys., Man, Cybern. 9(1), 62–66 (1979)

    Article  MathSciNet  Google Scholar 

  4. Brink, A.D.: Minimum Spatial Entropy Threshold Selection. IEEE Proc. Vis. Image Signal Process. 142(3), 128–132 (1995)

    Article  Google Scholar 

  5. Sahoo, P.K., Soltani, S., Wong, K.C., Chen, Y.C.: A Survey of Thresholding Techniques. Computer Vision, Graphics, and Image Processing 41, 233–260 (1988)

    Article  Google Scholar 

  6. Li, X., Zhao, Z., Cheng, H.D.: Fuzzy Entropy Threshold Approach to Breast Cancer Detection. Information Sciences 4, 49–56 (1995)

    Article  Google Scholar 

  7. Chaira, T., Ray, A.K.: Segmentation Using Fuzzy Divergence. Pattern Recognition Letters 24, 1837–1844 (2003)

    Article  Google Scholar 

  8. Chaira, T., Ray, A.K.: Threshold Selection Using Fuzzy Set Theory. Pattern Recognition Letters 25, 865–874 (2004)

    Article  Google Scholar 

  9. Tobias, O.J., Seara, R., Soares, F.A.P.: Automatic Image Segmentation Using Fuzzy Sets. In: Proc. 38th Midwest Symp. Circuits and Systems, vol. 2, pp. 921–924 (1996)

    Google Scholar 

  10. Tobias, O.J., Seara, R.: Image Segmentation By Histogram Thresholding Using Fuzzy Sets. IEEE Trans. Image Process. 11 (2002)

    Google Scholar 

  11. Lopes, N.V., Modadouro do Couto, P.A., Bustince, H., Melo-Pinto, P.: Automatic Histogram Threshold Using Fuzzy Measures. IEEE Trans. Image Process. 19(1) (2010)

    Google Scholar 

  12. Prasad, M.S., Divakar, T., Rao, B.S., Raju, N.: Unsupervised Image Thresholding Using Fuzzy Measures. International Journal of Computer Applications 27(2) (2011)

    Google Scholar 

  13. Huang, J.-Y., Tsai, M.-F., Kao, P.-F., Chen, Y.-S.: Automatic Computer-aided Sacroiliac Joint Index Analysis for Bone Scintigraphy. Computer Methods And Programs in Biomedicine 98, 15–26 (2010)

    Article  Google Scholar 

  14. Chuang, K.-S., Tzeng, H.-L., Chen, S., Wu, J., Chen, T.-J.: Fuzzy C-Means Clustering with Spatial Information for Image Segmentation. Computerized Medical Image and Graphics 30, 9–15 (2006)

    Article  Google Scholar 

  15. Jawahar, C.V., Biswas, P.K., Ray, A.K.: Investigations on Fuzzy Thresholding Based on Fuzzy Clustering. Pattern Recogn. 30(10), 1605–1613 (1997)

    Article  MATH  Google Scholar 

  16. Ahmed, M.N., Yamany, S.M., Mohamed, N., Farag, A.A., Moriarty, T.: A Modified Fuzzy C-Means Algorithm for Bias Field Estimation and Segmenation of MRI Data. IEEE Trans. on Medical Imaging 21(3), 193–199 (2002)

    Article  Google Scholar 

  17. Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)

    Article  MathSciNet  Google Scholar 

  18. Chaira, T., Ray, A.K.: Fuzzy Image Processing and Applications with MATLAB. CRC Press (2009)

    Google Scholar 

  19. Wang, H.: Nearest Neighbors by Neighborhood Counting. IEEE Trans. on Pattern Analysis and Machine Intelligence 28(6), 942–953 (2006)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Li, J., Dai, B., Xiao, K., Hassanien, A.E. (2012). Density Based Fuzzy Thresholding for Image Segmentation. In: Hassanien, A.E., Salem, AB.M., Ramadan, R., Kim, Th. (eds) Advanced Machine Learning Technologies and Applications. AMLTA 2012. Communications in Computer and Information Science, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35326-0_13

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  • DOI: https://doi.org/10.1007/978-3-642-35326-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35325-3

  • Online ISBN: 978-3-642-35326-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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