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Elementary Morphological Operations on the Spherical CIELab Quantale

  • Conference paper
Book cover 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 is a theory with applications in image and signal processing and analysis. This paper presents a quantale-based approach to color morphology based on the CIELab color space with spherical coordinates. The novel morphological operations take into account the perceptual difference between color elements by using a distance-based ordering scheme. Furthermore, the novel approach allows the use of non-flat structuring elements. Although the paper focuses on dilations and erosions, many other morphological operations can be obtained by combining these two elementary operations. An illustrative example reveals that non-flat dilations and erosions may preserve more features of a natural color image than their corresponding flat operations.

This work was supported in part by CNPq and FAPESP under grants nos. 305486/2014-4 and 2013/12310-4, respectively.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Campinas, Campinas, SP, Brazil

    Marcos Eduardo Valle

  2. Ariam Equipamentos Metalúrgicos, Londrina, PR, Brazil

    Raul Ambrozio Valente

Authors
  1. Marcos Eduardo Valle
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  2. Raul Ambrozio Valente
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Corresponding author

Correspondence to Marcos Eduardo Valle .

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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Valle, M.E., Valente, R.A. (2015). Elementary Morphological Operations on the Spherical CIELab Quantale. 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_32

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  • DOI: https://doi.org/10.1007/978-3-319-18720-4_32

  • 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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