Encyclopedia of Color Science and Technology

2016 Edition
| Editors: Ming Ronnier Luo

Gamut Volume

Reference work entry
DOI: https://doi.org/10.1007/978-1-4419-8071-7_28

Synonyms

Definition

The gamut volume describes how much of a color space a gamut occupies. Hence, it depends on the color space in which the gamut is represented. In order to be used as a meaningful quantity to compare gamuts, a representation within a highly perceptually uniform color space is recommended. Color spaces typically used to calculate gamut volumes are CIELAB or CIECAM02 [ 1]. Please note that these spaces are only nearly perceptually uniform. Hence, spaces with improved uniformity [ 2, 3] are sometimes used as well mathematically; the gamut volume V is defined by the volume integral
$$ V={\displaystyle \underset{G}{\iiint }d{c}_1 d{c}_2 d{c}_3}, $$
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References

  1. 1.
    CIE Publication No. 159.: A Colour Appearance Model for Colour Management Systems: CIECAM02. CIE Central Bureau, Vienna (2004)Google Scholar
  2. 2.
    Thomsen, K.: A euclidean color space in high agreement with the cie94 color difference formula. Color. Res. Appl. 25, 64–65 (2000)CrossRefGoogle Scholar
  3. 3.
    Urban, P., Schleicher, D., Rosen, M.R., Berns, R.S.: Embedding non-euclidean color spaces into euclidean color spaces with minimal isometric disagreement. J. Opt. Soc. Am. A 24(6), 1516–1528 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    Morovic, J.: Color Gamut Mapping. Wiley, Hoboken (2008)CrossRefGoogle Scholar
  5. 5.
    Morovic, J., Luo, M.R.: Calculating medium and image gamut boundaries for gamut mapping. Color. Res. Appl. 25, 394–401 (2000)CrossRefGoogle Scholar
  6. 6.
    Rodrguez-Pardo, C. E., Sharma, G., Speigle, J., Feng, X.-F., Sezan, I.: Efficient computation of display gamut volumes in perceptual spaces. In: IS&T/SID, 19th Color and Imaging Conference, pp. 132–138. San Jose (2011)Google Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Fraunhofer Institute for Computer Graphics Research IGD, Technische Universität DarmstadtDarmstadtGermany