CIE 1964 color space explained

The CIE 1964 (U*, V*, W*) color space, also known as CIEUVW, is based on the CIE 1960 UCS:[1]

U*=13W

*(u-u
0),

V*=13W

*(v-v
0),

W*=25Y

13-17

where is the white point and Y is the luminous tristimulus value of the object. The asterisks in the exponent indicates that the variable represent a more perceptually uniform color space than its predecessor (compare with CIELAB).

Wyszecki invented the UVW color space in order to be able to calculate color differences without having to hold the luminance constant. He defined a lightness index W* by simplifying expressions suggested earlier by Ladd and Pinney,[2] and Glasser et al..[3] The chromaticity components U* and V* are defined such that the white point maps to the origin, as in Adams chromatic valence color spaces. This arrangement has the benefit of being able to express the loci of chromaticities with constant saturation simply as for a constant C. Furthermore, the chromaticity axes are scaled by the lightness "so as to account for the apparent increase or decrease in saturation when the lightness index is increased or decreased, respectively, and the chromaticity is kept constant".

Chromaticity and color difference

The chromaticity coefficients were chosen "on the basis of the spacing of the Munsell system. A lightness difference is assumed to correspond to a chromaticness difference (approximately)."[4]

With the coefficients thus selected, the color difference in CIEUVW is simply the Euclidean distance:

\DeltaECIEUVW=\sqrt{\left(\DeltaU*\right)2+\left(\DeltaV*\right)2+\left(\DeltaW*\right)2}

References

  1. Book: Colorimetry: Understanding the CIE System. limited. Janos Schanda. Wiley Interscience. 2007. 81.
  2. Empirical relationships with the Munsell Value scale. Ladd. J.H.. Pinney, J.E.. Proceedings of the Institute of Radio Engineers. 43. 9. 1137. September 1955. 10.1109/JRPROC.1955.277892.
  3. Cube-root color coordinate system. L.G.. Glasser . A.H. McKinney . C.D. Reilly . P.D. Schnelle. JOSA. 48. 10. 736–740. October 1958. 10.1364/JOSA.48.000736.
  4. Günther. Wyszecki. Proposal for a New Color-Difference Formula. 1318–1319. November 1963. 53. JOSA. 11. 10.1364/JOSA.53.001318. Journal of the Optical Society of America. Note: The asterisks are not used in the paper.