Plotting a light source on a chromaticity diagram (MAGAZINE)

In this article, George Kelly explains how to plot a chromaticity diagram.

Content Dam Leds En Articles 2012 05 Plotting A Light Source On A Chromaticity Diagram Magazine Leftcolumn Article Thumbnailimage File
The color-matching functions of the primaries of a color space combined with the SPD of a light source, or reflected light, determine how the light is plotted in the CIE Chromaticity Diagram. To plot the x, y coordinates of a light source on the CIE Chromaticity Diagram, first calculate the X, Y, Z tristimulus values using the first three equations below.
2equations1
The CIE chromaticity coordinates are then derived from the tristimulus values using the following three equations.
2equation2
While X, Y and Z increase with increasing brightness x, y and z are independent of brightness and thus only specify chromaticity. Further the last three equations above ensure that x + y + z = 1 so only two of x, y, or z are required to completely specify a color. The ubiquitous CIE Chromaticity Diagram shown in Fig. 7, plots the x and y color coordinates ignoring the z coordinate since it is redundant.
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