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Sponges for Generalized Morphology

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Mathematical Morphology and Its Applications to Signal and Image Processing (ISMM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9082))

Abstract

Mathematical morphology has traditionally been grounded in lattice theory. For non-scalar data lattices often prove too restrictive, however. In this paper we present a more general alternative, sponges, that still allows useful definitions of various properties and concepts from morphological theory. It turns out that some of the existing work on “pseudo-morphology” for non-scalar data can in fact be considered “proper” mathematical morphology in this new framework, while other work cannot, and that this correlates with how useful/intuitive some of the resulting operators are.

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Authors and Affiliations

  1. Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, P.O. Box 407, 9700, Groningen AK, The Netherlands

    Jasper J. van de Gronde & Jos B. T. M. Roerdink

Authors
  1. Jasper J. van de Gronde
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  2. Jos B. T. M. Roerdink
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Corresponding author

Correspondence to Jasper J. van de Gronde .

Editor information

Editors and Affiliations

  1. University of Iceland, Reykjavik, Iceland

    Jón Atli Benediktsson

  2. Université de Grenoble Alpes, Grenoble, France

    Jocelyn Chanussot

  3. ESIEE Paris, Noisy-le-Grand Cedex, France

    Laurent Najman

  4. ESIEE Paris, Noisy-le-Grand Cedex, France

    Hugues Talbot

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van de Gronde, J.J., Roerdink, J.B.T.M. (2015). Sponges for Generalized Morphology. In: Benediktsson, J., Chanussot, J., Najman, L., Talbot, H. (eds) Mathematical Morphology and Its Applications to Signal and Image Processing. ISMM 2015. Lecture Notes in Computer Science(), vol 9082. Springer, Cham. https://doi.org/10.1007/978-3-319-18720-4_30

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  • DOI: https://doi.org/10.1007/978-3-319-18720-4_30

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18719-8

  • Online ISBN: 978-3-319-18720-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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