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Wavelength Computation from RGB

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Computational Science and Its Applications – ICCSA 2023 (ICCSA 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13957))

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Abstract

Conversion RGB to wavelength is not a simple problem. This contribution describes a simple method for wavelength extraction for colors given by the RGB triplet. The method is simple and accurate, based on known RGB values of the rainbow. It also respects different saturation of a color.

Supported by the University of West Bohemia (UWB) - Institutional research.

T. C. L. Bellot and X. Berault—Students of the Erasmus ACG course at UWB.

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Notes

  1. 1.

    The RBG spectral values for iso-energetic white color are specified in Table 3 [7].

  2. 2.

    Details on projective geometric algebra use can be found in [12,13,14] and intersection computation in [15].

  3. 3.

    A value (X, Y) in Euclidean space can be expressed as \([wx,wy:w]^T\) in the projective space & \(w \ne 0\); \(w=1\) is used in this case [13].

  4. 4.

    \(\xi =100\) means 100 sub-intervals on the x, resp. y axis.

  5. 5.

    (Responsibilities: Skala, V.: theory, algorithm design, algorithm implementation design, manuscript preparation; Bellot, T.C.L., Berault, X.: implementation and experimental verification).

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Acknowledgments

The author thanks to colleagues and colleagues at the Shandong University(Jinan) China, and University of West Bohemia (Pilsen) for their critical comments. Thanks belong also to anonymous reviewers, as their comments and hints helped to improve this paper significantly.

Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Faculty of Applied Sciences, University of West Bohemia, 301 00, Pilsen, Czech Republic

    Vaclav Skala, Tristan Claude Louis Bellot & Xavier Berault

  2. University of Technology of Troyes, 10004, Troyes CEDEX, France

    Tristan Claude Louis Bellot & Xavier Berault

Authors
  1. Vaclav Skala
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  2. Tristan Claude Louis Bellot
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  3. Xavier Berault
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Corresponding author

Correspondence to Vaclav Skala .

Editor information

Editors and Affiliations

  1. University of Perugia, Perugia, Italy

    Osvaldo Gervasi

  2. University of Basilicata, Potenza, Italy

    Beniamino Murgante

  3. Monash University, Clayton, VIC, Australia

    David Taniar

  4. Kyushu Sangyo University, Fukuoka, Japan

    Bernady O. Apduhan

  5. University of Minho, Braga, Portugal

    Ana Cristina Braga

  6. University of Cagliari, Cagliari, Italy

    Chiara Garau

  7. National Technical University of Athens, Athens, Greece

    Anastasia Stratigea

RGB Trichromatic Coefficients

RGB Trichromatic Coefficients

To avoid numerical instability in Eq. 1 \(r=0.00001\) was set for \(\lambda =780\)[nm].

Table 3. RGB spectral trichromatic values.
Full size table

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Skala, V., Bellot, T.C.L., Berault, X. (2023). Wavelength Computation from RGB. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2023. ICCSA 2023. Lecture Notes in Computer Science, vol 13957. Springer, Cham. https://doi.org/10.1007/978-3-031-36808-0_29

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  • DOI: https://doi.org/10.1007/978-3-031-36808-0_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-36807-3

  • Online ISBN: 978-3-031-36808-0

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