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Part of the book series: Computational Imaging and Vision ((CIVI,volume 18))

Abstract

It is possible to level a colour image by applying to each of its coordinates a separate grey-tone leveling. Interpreting this operation in a vectorial space gives a better insight into levelings and flattenings, interpreted as Minkowski subtractions.

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References

  1. R. Kresh, “Extension of morphological operations to complete semi-lattices and its applications to image and video processing.” In Mathematical Morphology and its Applications to Image and Signal Processing, H. Heijmans and J. Roerdink, editors, pp. 35–42, Kluwer, 1998.

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  2. G. Matheron, “Les nivellements,” Technical Report, CMM, 1997.

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  3. F. Meyer, “From connected operators to levelings.” In Mathematical Morphology and its. Applications to Image and Signal Processing, H. Heijmans and J. Roerdink, editors, pp. 191–199, Kluwer, 1998.

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  4. F. Meyer, “The levelings.” In Mathematical Morphology and its Applications to Image. and Signal Processing, H. Heijmans and J. Roerdink, editors, pp. 199–207, Kluwer, 1998.

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  5. J. Serra, ed., Image Analysis and Mathematical Morphology. Volume 2: Theoretical. Advances. London, England: Academic Press, 1988.

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  6. J. Serra, “Quelques propriétés des nivellements,” Technical Report 30/98/MM, CMM, 1998.

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© 2002 Kluwer Academic/Plenum Publishers

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Meyer, F. (2002). Vectorial Levelings and Flattenings. In: Goutsias, J., Vincent, L., Bloomberg, D.S. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 18. Springer, Boston, MA. https://doi.org/10.1007/0-306-47025-X_7

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  • DOI: https://doi.org/10.1007/0-306-47025-X_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-7862-4

  • Online ISBN: 978-0-306-47025-7

  • eBook Packages: Springer Book Archive

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