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Gamut Volume

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Encyclopedia of Color Science and Technology

Synonyms

CIECAM02 (Standards: CIE); CIELAB (Standards: CIE)

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

$$ V={\displaystyle \underset{G}{\iiint }d{c}_1 d{c}_2 d{c}_3}, $$

where G is the gamut, and \( {c}_i \) are the color space coordinates, e.g., \( \left({c}_1,{c}_2,{c}_3\right)=\left(L*,a*,b*\right). \) The gamut volume is expressed in cubic color space units and mostly rounded to thousands for device and media gamuts [4].

In a perceptually...

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References

  1. CIE Publication No. 159.: A Colour Appearance Model for Colour Management Systems: CIECAM02. CIE Central Bureau, Vienna (2004)

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  2. Thomsen, K.: A euclidean color space in high agreement with the cie94 color difference formula. Color. Res. Appl. 25, 64–65 (2000)

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  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)

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  4. Morovic, J.: Color Gamut Mapping. Wiley, Hoboken (2008)

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  5. Morovic, J., Luo, M.R.: Calculating medium and image gamut boundaries for gamut mapping. Color. Res. Appl. 25, 394–401 (2000)

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  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)

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Author information

Authors and Affiliations

  1. Fraunhofer Institute for Computer Graphics Research IGD, Technische Universität Darmstadt, Fraunhoferstr. 5, 64283, Darmstadt, Germany

    Philipp Urban

Authors
  1. Philipp Urban
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Corresponding author

Correspondence to Philipp Urban .

Editor information

Editors and Affiliations

  1. State Key Laboratory of Modern, Optical Instrumentation, Zhejiang University, Hangzhou, China

    Ming Ronnier Luo

  2. School of Design, University of Leeds, Leeds, UK

    Ming Ronnier Luo

  3. Graduate Institute of Colour and Illumination, National Taiwan University of Science and Technology, Taipei, Taiwan, Republic of China

    Ming Ronnier Luo

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© 2016 Springer Science+Business Media New York

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Urban, P. (2016). Gamut Volume. In: Luo, M.R. (eds) Encyclopedia of Color Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8071-7_28

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