Hunter Lab (also known as Hunter L,a,b) is a
color space defined in 1948[1][2] by
Richard S. Hunter.
It was designed to be computed via simple formulas from the
CIEXYZ space, but to be more perceptually uniform. Hunter named his coordinates L, a and b.
Hunter Lab was a precursor to
CIELAB, created in 1976 by the
International Commission on Illumination (CIE), which named the coordinates for CIELAB as L*, a*, b* to distinguish them from Hunter's coordinates.[3][4]
Formulation
L is a correlate of
lightness and is computed from the Ytristimulus value using Priest's approximation to
Munsell value:
where Yn is the Y tristimulus value of a specified white object. For surface-color applications, the specified white object is usually (though not always) a hypothetical material with unit reflectance that follows
Lambert's law. The resulting L will be scaled between 0 (black) and 100 (white); roughly ten times the Munsell value. Note that a medium lightness of 50 is produced by a luminance of 25, due to the square root proportionality.
a and b are termed
opponent color axes. a represents, roughly, Redness (positive) versus Greenness (negative). It is computed as:
where Ka is a coefficient that depends upon the illuminant (for D65, Ka is 172.30; see approximate formula below) and Xn is the X tristimulus value of the specified white object.
The other opponent color axis, b, is positive for yellow colors and negative for blue colors. It is computed as:
where Kb is a coefficient that depends upon the illuminant (for
D65, Kb is 67.20; see approximate formula below) and Zn is the Z tristimulus value of the specified white object.[5]
Both a and b will be zero for objects that have the same
chromaticity coordinates as the specified white objects (i.e., achromatic, grey, objects).
Approximate formulas for Ka and Kb
In the previous version of the Hunter Lab color space, Ka was 175 and Kb was 70. Hunter Associates Lab discovered[citation needed] that better agreement could be obtained with other color difference metrics, such as CIELAB (see above) by allowing these coefficients to depend upon the illuminants. Approximate formulae are:
which result in the original values for Illuminant C, the original illuminant with which the Lab color space was used.
As an Adams chromatic valence space
Adams chromatic valence color spaces are based on two elements: a (relatively) uniform lightness scale and a (relatively) uniform
chromaticity scale.[6] If we take as the uniform lightness scale Priest's approximation to the Munsell Value scale, which would be written in modern notation as:
and, as the uniform chromaticity coordinates:
where ke is a tuning coefficient, we obtain the two chromatic axes:
and
which is identical to the Hunter Lab formulas given above if we select K = Ka/100 and ke = Kb/Ka. Therefore, the Hunter Lab color space is an
Adams chromatic valence color space.