Lnmm o qpp, Af a f – Ocean Optics OOIColor User Manual
Page 13

10
The tristimulus values (X, Y and Z) are computed by the following equations. It is important to
note that by convention, these calculations are scaled so that the Y value for all illuminants is
100.00:
X
x
x
x
y
Y
y
y
y
y
Z
z
z
z
y
sam
ref
ref
ref
sam
ref
ref
ref
sam
ref
ref
ref
=
L
NMM
O
QPP
=
L
NMM
O
QPP
=
L
NMM
O
QPP
100
100
100
All other color space values are derived from these fundamental tristimulus values:
x
X
X
Y
Z
y
Y
X
Y
Z
z
Z
X
Y
Z
=
+ +
=
+ +
=
+ +
′ =
+
+
′ =
+
+
′ =
−
+
+
+
+
u
X
X
Y
Z
v
Y
X
Y
Z
w
X
Y
Z
X
Y
Z
4
15
3
9
15
3
3
6
3
15
3
u v
v
v
u
u
u v
u
u
v
v
,
atan
,
hue angle
Saturation
Illuminant
Illuminant
Illuminant
Illuminant
=
′ − ′
′ − ′
=
′ − ′
′ − ′
13
2
2
a
f
a
f
The derivation of other color space values can be found in references on measuring color. The
reference used for all of the coordinates and equations was R.W.G Hunt, Measuring Colour, 2
nd
Edition, Ellis Horwood, 1991.
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