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Automatic User Testing and Emotion Detection in Interactive Urban Devices Read chapter Read first chapter

2023 | OriginalPaper | Chapter

Wavelength Computation from RGB

Authors : Vaclav Skala, Tristan Claude Louis Bellot, Xavier Berault

Published in: Computational Science and Its Applications – ICCSA 2023

Publisher: Springer Nature Switzerland

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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.

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Appendix
Available only for authorised users
Footnotes
1
The RBG spectral values for iso-energetic white color are specified in Table 3 [7].
 
2
Details on projective geometric algebra use can be found in [12‐14] and intersection computation in [15].
 
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
\(\xi =100\) means 100 sub-intervals on the x, resp. y axis.
 
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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Hrdina, J., Vašík, P., Matoušek, R., Návrat, A.: Geometric algebras for uniform colour spaces. Math. Methods Appl. Sci. 41(11), 4117–4130 (2018)MathSciNetCrossRefMATH
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Ohta, N., Robertson, A.R.: Colorimetry: Fundamentals and Applications. Wiley, Hoboken (2006)
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Skala, V.: Length, area and volume computation in homogeneous coordinates. Int. J. Image Graph. 6(4), 625–639 (2006)CrossRef
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Skala, V.: Barycentric coordinates computation in homogeneous coordinates. Comput. Graph. 32(1), 120–127 (2008)CrossRef
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Skala, V.: Intersection computation in projective space using homogeneous coordinates. Int. J. Image Graph. 8(4), 615–628 (2008)CrossRef
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Metadata
Title
Wavelength Computation from RGB
Authors
Vaclav Skala
Tristan Claude Louis Bellot
Xavier Berault
Copyright Year
2023
Book
Computational Science and Its Applications – ICCSA 2023

Print ISBN: 978-3-031-36807-3

Electronic ISBN: 978-3-031-36808-0

Copyright Year: 2023

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

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