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Basic morphological concepts

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Geostatistical Simulation
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Abstract

The purpose of this chapter is to introduce the two basic concepts of mathematical morphology, namely dilations and erosions. Three possible uses are given. Firstly, dilation and erosion can be combined to produce two other morphological concepts (openings and closings) which have rich structural content. Secondly, the Hausdorff distance between objects has a simple morphological interpretation. Finally, the chance of detecting an object by regular sampling can be simply expressed in terms of dilations.

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© 2002 Springer-Verlag Berlin Heidelberg

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Lantuéjoul, C. (2002). Basic morphological concepts. In: Geostatistical Simulation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04808-5_5

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  • DOI: https://doi.org/10.1007/978-3-662-04808-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07582-7

  • Online ISBN: 978-3-662-04808-5

  • eBook Packages: Springer Book Archive

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