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Encyclopedia of Color Science and Technology pp 1243–1245Cite as

USC Diagrams; Uniform Chromaticity Scales; Yu′v′

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Definition

The coordinates of the CIE 1960 UCS diagram are calculated from the 1931 CIE XYZ tristimulus value or from the xy chromaticity coordinates thus:

$$ \begin{array}{l}u=4X/\left(X+15Y+3Z\right)=4x/\left(-2x+12y+3\right),\\ {}v=6Y/\left(X+15Y+3Z\right)=6y/\left(-2x+12y+3\right).\end{array} $$
(1)

The 1976 CIE u′v′ chromaticity diagram was obtained by stretching the v-axis of the UCS diagram (u′ = u, v′ = 1.5v), and the coordinates are calculated thus:

$$ \begin{array}{l}u^{\prime }=4X/\left(X+15Y+3Z\right)=4x/\left(-2x+12y+3\right),\\ {}v^{\prime }=9Y/\left(X+15Y+3Z\right)=9y/\left(-2x+12y+3\right),\end{array} $$
(2)

where, alternatively, U′ = 4X/9, V′ = Y, and W′ = −X/3 + 2Y/3 + Z/3 and u′ = U′ /(U′ + V′ + W′) and v′ = V′ /(U′ + V′ + W′).

Both the CIE 1960 UCS diagram and the 1976 CIE u′v′ chromaticity diagram are associated with the 1931 Y tristimulus value to provide a complete trichromatic specification since V = V′ = Y.

Historical Development

The 1931 CIE system of...

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References

  1. CIE Pub. No. 15: Colorimetry, Central Bureau of the CIE, Vienna (2004)

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  2. Hunt, R.W.G.: The Reproduction of Colour, 6th edn. Wiley, Chichester (2004)

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  3. Judd, D.B., Yonemura, G.T.: CIE 1960 UCS diagram and the muller theory of color vision. J. Res. Natl. Bur. Stand. A. Phys. Chem. 74A(1), 23–30 (1970)

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  4. Wright, H.: The Measurement of Colour, 4th edn. Adam Hilger, London (1969)

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  5. Hunt, R.W.G., Pointer, M.R.: Measuring Colour, 4th edn. Wiley, Hoboken (2011)

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Authors and Affiliations

  1. Colour Science and Technology, University of Leeds, Leeds, UK

    Stephen Westland

Authors
  1. Stephen Westland
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Correspondence to Stephen Westland .

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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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Westland, S. (2016). USC Diagrams; Uniform Chromaticity Scales; Yu′v′. 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_10

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