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Opening and Closing

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Morphological Image Analysis

Abstract

The erosion of an image not only removes all structures that cannot contain the structuring element but it also shrinks all the other ones. The search for an operator recovering most structures lost by the erosion leads to the definition of the morphological opening operator. The principle consists in dilating the image previously eroded using the same structuring element. In general, not all structures are recovered. For example, objects completely destroyed by the erosion are not recovered at all. This behaviour is at the very basis of the filtering properties of the opening operator: image structures are selectively filtered out, the selection depending on the shape and size of the SE. The dual operator of the morphological opening is the morphological closing. Both operators are at the basis of the morphological approach to image filtering developed in Chap. 8.

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Authors and Affiliations

  1. Silsoe Research Institute, Wrest Park, MK45 4HS, Silsoe Bedfordshire, UK

    Dr. Ir. habil. Pierre Soille

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  1. Dr. Ir. habil. Pierre Soille
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© 1999 Springer-Verlag Berlin Heidelberg

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Soille, P. (1999). Opening and Closing. In: Morphological Image Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03939-7_4

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  • DOI: https://doi.org/10.1007/978-3-662-03939-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-03941-0

  • Online ISBN: 978-3-662-03939-7

  • eBook Packages: Springer Book Archive

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