Color Scales

CIE-1931  CHROMATICITY  DIAGRAM

CIE-1931 Chromaticity Coordinates as the Cartesian Coordinates used to define color in the CIE color space.
They are designated as x, y and z and are the ratios of each of the tristimulus values X,Y and Z in relation to the sum of the three.         
z = 1 - ( x + y )

10-02-01

COLORIMETRIC  CONVERSIONS  CALCULATIONS

from
CIE-1931 X, Y, Z 

to
CIE-1931 x, y, z

x = X / ( X + Y + Z )
y = Y / ( X + Y + Z )             z = 1 - ( x + y )

to
CIE-1960 u, v

u = 4 X / ( X + 15 Y + 3 Z )
v = 6 Y / ( X + 15 Y + 3 Z )

to
CIE-1960 u, v

u = 4 x / ( -2 x + 12 y + 3 )
v = 6 y / ( -2 x + 12 y + 3 )

to
CIE-1976 u', v'

u' = 4 X / ( X + 15 Y + 3 Z )
v' = 9 Y / ( X + 15 Y + 3 Z )

to
CIE-1976 u', v'

u' = 4 x / ( -2 x + 12 y + 3 )
v' = 9 y / ( -2 x + 12 y + 3 )

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