Summary
This chapter presents a new color image segmentation method using fuzzy mathematical morphological filters applied to the 3D color histogram. Segmentation consists in detecting the different modes which are present in the 3D color histogram and associated with homogeneous regions. In order to detect these modes, we show how a color image can be considered as a fuzzy subset of pixels characterized by its membership function to a mode. This function is evaluated. thanks to a concavity analysis of the 3D color histogram. Then, a fuzzy morphological transformation is applied to this membership function in order to enhance the modes. The effectiveness of our proposed fuzzy morphological approach is then illustrated with color images.
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References
Sharma G., Trussell H.J., Digital color imaging, IEEE Transactions on Image Processing, IP7(6), 1997, pp. 901–932.
Cheng H.D., Jiang X.H., Sun Y., Wang J., Color image segmentation: advances and prospects, Pattern Recognition, PR-34(6), 2001, pp. 2259–2281.
Bloch I., Maître H., Fuzzy mathematical morphologies: a comparative study, Pattern Recognition, PR-9(28), 1995, pp. 1341–1387.
Botte-Lecocq C., Zhang R.D., Postaire J.G., Cluster analysis by binary morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-15(2), 1993, pp. 170–180.
Devijver P.A., KittlerJ., Pattern recognition: a statistical approach, PrenticeHall — Englewood Cliffs, New Jersey, 1982.
Gillet A., Botte-Lecocq C., Macaire L., Postaire J.G., Application of fuzzy mathematical morphology for unsupervised color pixels classification, Data Analysis, Classification and Related Methods, H.A.L. Kiers and all editor, SpringerVerlag, 2000, pp. 69–75.
Haralick R.M., Sternberg S.R., Zhuang X., Image analysis using mathematical morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-9(4), 1987, pp. 532–550.
Huntsberger T.L., Jacobs C.L., Cannon R.L., Iterative fuzzy image segmentation, Pattern Recognition, PR 18(2), 1985, pp. 131–138.
Lambert P., Macaire L., Filtering and segmentation: the specificity of color images, CGIP’2000 — International Conference on Color in Graphics and Image Processing, Saint-Etienne — France, 2000, pp. 57–71.
Lim Y.W., Lee S.U., On the color image segmentation algorithm based on the thresholding and the fuzzy c-means techniques, Pattern Recognition, PR(23)9, 1990, pp. 935–952.
Ohta Y.I., Kanade T., Sakai T., Color information for region segmentation, Computer Graphics and Image Processing,(13), 1980, pp. 222–241.
Park S.H., Yun I.D., Lee S.U., Color image segmentation based on 3-D clustering: morphological approach, Pattern Recognition, PR-31(8), 1998, pp. 1061–1076.
Pham T.D., Yan H., Color image segmentation using fuzzy integral and mountain clustering, Fuzzy Sets and Systems, FSS(107), 1999, pp. 121–130.
Postaire J.G., Vasseur C., A convexity testing method for cluster analysis, IEEE Transactions on Systems, Man and Cybernetics, SMC(10), 1980, pp. 145–149.
Schettini R., Segmentation algorithm for color images, Pattern Recognition Letters, PRL (14), 1993, pp. 499–506.
Serra J., Image analysis and mathematical morphology, Academic Press. 1988.
Shaffarenko L., Petrou M., Kittler J., Histogram-based segmentation in a perceptually uniform color space, IEEE Transactions on Image Processing, IP-7(9), 1998, pp. 1354–1358.
Tominaga S., Color classification of natural color images, Color Research and Application, CRA(17)4, 1992, pp. 230–239.
Turpin-Dhilly S., Botte-Lecocq C., Application of fuzzy mathematical morphology for pattern classification, Advances in Data Science and Classification, IFCS’98, 1998, pp. 125–130.
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Gillet, A., Macaire, L., Botte-Lecocq, C., Postaire, JG. (2003). Color Image Segmentation by Analysis of 3D Histogram with Fuzzy Morphological Filters. In: Nachtegael, M., Van der Weken, D., Kerre, E.E., Van De Ville, D. (eds) Fuzzy Filters for Image Processing. Studies in Fuzziness and Soft Computing, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36420-7_7
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DOI: https://doi.org/10.1007/978-3-540-36420-7_7
Publisher Name: Springer, Berlin, Heidelberg
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