Abstract
In this paper we extend the basic morphological operators dilation and erosion for grey-scale images based on the threshold approach, umbra approach and fuzzy set theory to colour images. This is realised by treating colours as vectors and defining a new vector ordering so that new colour morphological operators are presented. Here we only discuss colours represented in the RGB colour space. The colour space RGB becomes together with the new ordering and associated minimum and maximum operators a complete chain. All this can be extended to the colour spaces HSV and L*a*b*. Experimental results show that our method provides an improvement on the component-based approach of morphological operators applied to colour images. The colours in the colour images are preserved, that is, no new colours are introduced.
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Talbot, H., Evans, C., Jones, R.: Complete Ordering and Multivariate Mathematical Morphology: Algorithms and Applications. In: Mathematical Morphology and Its Applications to Image and Signal Processing, pp. 27–34. Kluwer Academic Press, Amsterdam (1998)
Hanbury, A., Serra, J.: Morphological Operators on the Unit Circle. IEEE Transactions on Image Processing 10(12), 1842–1850 (2001)
Hanbury, A., Serra, J.: Mathematical Morphology in the HLS Colour Space. In: Proceedings of the 12th British Machine Vision Conference, United Kingdom, pp. 451–460 (2001)
Hanbury, A., Serra, J.: Mathematical Morphology in the CIELAB Space. Image Analysis and Stereology 21(3), 201–206 (2002)
Louverdis, G., Vardavoulia, M.I., Andreadis, I., Tsalides, P.: A New Approach to Morphological Color Image Processing. Pattern Recognition 35, 1733–1741 (2002)
Kerre, E.E.: Fuzzy sets and approximate reasoning. Xian Jiaotong University Press, Softcover (1998)
Heijmans, H.J.A.M., Ronse, C.: The Algebraic Basis of Mathematical Morphology, Part1: Dilations and Erosions. Computer Vision, Graphics and Image Processing 50, 245–295 (1990)
Ronse, C., Heijmans, H.J.A.M.: The Algebraic Basis of Mathematical Morphology, Part2: Openings and Closings, Computer Vision. Graphics and Image Processing 54, 74–97 (1991)
Heijmans, H.J.A.M.: Morphological Image Operators, Advances in Electronics and Electron Physics. Academic Press, Inc., London (1994)
De Baets, B., Kerre, E.E., Gupta, M.M.: The Fundamentals of Fuzzy Mathematical Morphology Part 1: Basic Concepts. International Journal of General Systems 23, 155–171 (1995)
Baets, M., Kerre, E.E., Gupta, M.M.: The Fundamentals of Fuzzy Mathematical Morphology Part 2: Idempotence, Convexity and Decomposition. International Journal of General Systems 23, 307–322 (1995)
De Baets, B.: Fuzzy Morphology: a Logical Approach. In: Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach, pp. 53–67. Kluwer Academic Press, Boston (1997)
Nachtegael, M., Kerre, E.E.: Classical and fuzzy approaches towards mathematical morphology. In: Fuzzy Techniques in Image Processing. Series Studies in Fuzziness and Soft Computing, pp. 3–57. Physica Verlag, Heidelberg (2000)
Sangwine, S.J., Horne, R.E.N.: The Colour Image Processing Handbook. Chapman and Hall, Boca Raton (1998)
Sharma, G.: Digital Color Imaging Handbook. CRC Press, Boca Raton (2003)
Van der Weken, D., Nachtegael, M., Kerre, E.E.: Using Similarity Measures and Homogeneity for the Comparison of Images. Image and Vision Computing 22, 695–702 (2004)
De Witte, V.: Colour preserving morphological operators for image processing, Internal Research Report. Fuzziness and Uncertainty Modelling Research Unit, Ghent University (2005)
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© 2005 Springer-Verlag Berlin Heidelberg
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De Witte, V., Schulte, S., Nachtegael, M., Van der Weken, D., Kerre, E.E. (2005). Vector Morphological Operators for Colour Images. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2005. Lecture Notes in Computer Science, vol 3656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11559573_82
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DOI: https://doi.org/10.1007/11559573_82
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29069-8
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