CIE 1931 Chromaticity

Chromaticity coordinates

Chromaticity coordinates $x$, $y$, and $Y$ are the CIE 1931 chromaticity diagram coordinates ($x$ and $y$) from 0 to 1, and the luminance $Y$ from 0 to 100.

Tristimulus values

Tristimulus values $X$, $Y$, and $Z$ are the relative luminances of total luminance $Y$, blue stimulation $Z$, and $X$ is a linear combination of the cone response curves, all from 0 to 100. The conversion from tristimulus values to chromaticity coordinates is $$x = \frac{X}{X + Y + Z} \; \; \; \; y = \frac{Y}{X+Y+Z} \; \; \; \; z = \frac{Z}{X+Y+Z}$$ The conversion from chromaticity coordinates to tristimulus values is $$X = \frac{Y * x}{y} \; \; \; \; Y = \frac{Y * y}{y} \; \; \; \; Z = Y * (1 – x- y)$$ After performing either conversion, the specified color is plotted on the CIE1931 chromaticity diagram.

References:
1. Color Vision and Colorimetry: Theory and Applications, Second Edition by Daniel Malacara, SPIE Press, 2011
2. Thanks to Seth Ansell for correcting previously erroneous equation listings.

Input Parameters

Chromaticity coordinates

Tristimulus values

Perform Conversion

CIE 1931 Chromaticity Diagram