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Öffnung und Schließung

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Morphologische Bildverarbeitung

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Zusammenfassung

Durch die Erosion eines Bildes verschwinden nicht nur alle Strukturen, in die das strukturierende Element nicht hineinpaßt, alle anderen Strukturen schrumpfen außerdem auch. Die Suche nach einem Operator, mit dessen Hilfe die meisten Strukturen, die durch die Erosion verloren gegangen sind, wiederhergestellt werden können, führt zu der Definition der morphologischen Öffnung. Das Prinzip besteht aus dem Dilatieren des zuvor erodierten Bildes, indem dasselbe strukturierende Element benutzt wird. Im allgemeinen wird nur ein Teil der Strukturen wiederhergestellt. Beispielsweise werden Objekte, die durch die Erosion ganz und gar zerstört worden sind, überhaupt nicht wiederhergestellt. Dieses Verhalten entspricht den Filtereigenschaften des Öffnungsoperators: Bildstrukturen werden wahlweise weggefiltert. Die Wahl hängt von der Form und Größe des SEs ab. Der duale Operator zur morphologischen Öffnung ist die morphologische Schließung. Beide Operatoren bilden die Grundlage der morphologischen Bildfilterung, die in Kap. 8 beschrieben wird.

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Authors and Affiliations

  1. LGI2P, Ecole des Mines d’Alès-EERIE, Parc Scientifique G.Besse, F-30000, Nîmes, France

    Dr. Pierre Soille

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  1. Dr. Pierre Soille
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© 1998 Springer-Verlag Berlin Heidelberg

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Soille, P. (1998). Öffnung und Schließung. In: Morphologische Bildverarbeitung. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72190-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-72190-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72191-5

  • Online ISBN: 978-3-642-72190-8

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