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Basic Concepts of 3D Morphological Spectra – Generation and Applications

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Recent Developments and Achievements in Biocybernetics and Biomedical Engineering (PCBBE 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 647))

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Abstract

Morphological spectra are a modified version of orthogonal systems of Walsh functions useful in discrete image analysis. Their application to 2D biomedical image analysis was described in several former papers. In this paper theoretical backgrounds of morphological spectra defined in any multi-dimensional discrete space and their application to 1-, 2- or 3-dimensional signal analysis are presented and illustrated by simple examples.

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References

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Authors and Affiliations

  1. Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences, 4 Ks. Trojdena Str., 02-109, Warsaw, Poland

    Małgorzata Przytulska & Juliusz L. Kulikowski

Authors
  1. Małgorzata Przytulska
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  2. Juliusz L. Kulikowski
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Corresponding author

Correspondence to Juliusz L. Kulikowski .

Editor information

Editors and Affiliations

  1. AGH University of Science and Technology, Krakow, Poland

    Piotr Augustyniak

  2. Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences, Warsaw, Poland

    Roman Maniewski

  3. AGH University of Science and Technology, Krakow, Poland

    Ryszard Tadeusiewicz

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Przytulska, M., Kulikowski, J.L. (2018). Basic Concepts of 3D Morphological Spectra – Generation and Applications. In: Augustyniak, P., Maniewski, R., Tadeusiewicz, R. (eds) Recent Developments and Achievements in Biocybernetics and Biomedical Engineering. PCBBE 2017. Advances in Intelligent Systems and Computing, vol 647. Springer, Cham. https://doi.org/10.1007/978-3-319-66905-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-66905-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66904-5

  • Online ISBN: 978-3-319-66905-2

  • eBook Packages: EngineeringEngineering (R0)

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