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TABLE 3.4 Color Coordinate Systems

~

!DescriptionColor coordinate system

Monochromatic primary sources PJ. red = 700 nm.p~. green = 546.1 nm. p). blue = 435.8 nm. Referencewhite has flat spectrum and R = G = B = 1. See Figs.3.13 and 3.14 for spectral matching curves and

chromaticity diagram.

I. C.l.E. spectral primarysystem: R, G, B

(X ] (0.490 0.310 0.200 ]( R ]y = 0.177 0.813 0.011 G

Z 0.000 0.010 0.9I.x) B

2. C.J.E. X. y. Z system

y = luminance

4x3. C.I.E. uniformchromaticity scale (UCS)

system: u. v. y

u, v = chromaticities

4Xu==- -

X+ ISY+3Z -a + 12y +3

v = 6Y ~ 6yX + 1SY + 3Z -a + 12y + 3

U=~'V=Y W=-X+3Y+Z3. .2

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4. U-, V-, w* system

(modified UCS system)

u. = 13W.(u -Ut.)

y. = 13W.(v -Vu)

W* = 25(lOOY)'/-' -17,1 :5 100Y :5 100

Uu, Vu = chromaticities of reference white

W. = contrast or brightness

y = luminance (0.01. 11

s = [(U*)~ + (v*)2J'1:! = 13W*[(u -",1)~ + (v -V..)~)"~

6 = tan-' (V;) = tan-. [(v -v..)/(u -",1)]. O :$ 8 :$ 2'If

5. S. 6. W* system:S = saturation

9 = hue

w* = brightness

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1 = 0.596RN -0.274G." -0.3228 Q =0.211RN-0.523G.,,+0.3128

7. NTSC transmission system:

y = luminance

1, Q = chrominances

dinatesColors;pectral

8. L ., a., b. sysrem:

L. = brightness

a. = red-green content

[le into

L. = 25 (~)1';\ -16. 1 :S l()()Y :S I()()

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X" }';

b. =200[ (~)".' -(i)I';\]

x". }';,. ZII = tristimulus values of the reference whiteb* = yellow-blue content

Color Coordinate SystemsSec.3.9Chap.3

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Linear transformation of X. y. Z. Is based ontelevision phosphor primaries. Reference white isilluminant C for which R.v = G.v = B.v = I.

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