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Histograms of Images Valued in the Manifold of Colours Endowed with Perceptual Metrics

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Geometric Science of Information (GSI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9389))

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Abstract

We address here the problem of perceptual colour histograms. The Riemannian structure of perceptual distances is measured through standards sets of ellipses, such as Macadam ellipses. We propose an approach based on local Euclidean approximations that enables to take into account the Riemannian structure of perceptual distances, without introducing computational complexity during the construction of the histogram.

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Author information

Authors and Affiliations

  1. CMM-Centre de Morphologie Mathématique, MINES ParisTech, PSL-Research University, Fontainebleau, France

    Emmanuel Chevallier & Jesús Angulo

  2. Gjøvik University College, Gjøvik, Norway

    Ivar Farup

Authors
  1. Emmanuel Chevallier
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  2. Ivar Farup
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  3. Jesús Angulo
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Corresponding author

Correspondence to Jesús Angulo .

Editor information

Editors and Affiliations

  1. Bâtiment Alan Turing, CS35003, École Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land\& Air Systems, Limours, France

    Frédéric Barbaresco

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© 2015 Springer International Publishing Switzerland

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Chevallier, E., Farup, I., Angulo, J. (2015). Histograms of Images Valued in the Manifold of Colours Endowed with Perceptual Metrics. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2015. Lecture Notes in Computer Science(), vol 9389. Springer, Cham. https://doi.org/10.1007/978-3-319-25040-3_81

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  • DOI: https://doi.org/10.1007/978-3-319-25040-3_81

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25039-7

  • Online ISBN: 978-3-319-25040-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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