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Certified Color-Matching Functions
A major problem arose around 1965 when we at Westinghouse Lamp Divisions began to develop what became known as TRIPHOSPHOR LAMPS.
The CIE Standard Observers could not properly evaluate either brightness or color-rendering of the new lamps.
So we had to leave them behind, and the new lamps spread worldwide, because the lamplight was both brighter and rendered colors better than conventional lamplights of the time.

The Problem: Strong Metamerism. New lamplight versus old. 

Strong metamerism stresses color-matching functions.
Because, when matching lights are so different spectrally,
 the color-matching functions   meant to substitute for the spectral sensitivities of the human visual system must be very precisely identical to those visual-system sensitivities.

CIE 2-degree color-matching functions

These DEFINE the Standard Observer. The 10-degree observer (larger visual field) is similar.

Their function is to compute the red, green and blue power content of each incoming light.

          R     G      B
visual match  R1 = R2   G1 = G2   B1 = B2

 

Approximation to Rainbow Coloration

Spectral Power Distribution of Average Daylight

Reminder: Redefine strong metamerism

The admirable work done 70 years ago rested on assumptions, necessary then, which turn out to be incorrect.
Today’s far more accurate measurement capabilities, together with better means of extracting the needed functions from the color-matching data, have led to color-matching functions that are better representative of the normal human
   visual system.
n     Certified color-matching functions
The New Approach
Step 1:
Start with the strongly metameric lights of the sort that cause all the trouble.
Step 2:
Extract the new CMFs directly from the troublesome examples, thus ensuring that the new
CMFs work under the worst of conditions.
Step 3:
Start with a simple shape, and nibble at it, changing its shape incrementally, reducing the errors bit by bit until they are essentially gone.

Example of the new CMFs

The new functions: They are not pretty…
But they WORK 
a*b* color diagram

New (dotted) color diagram

The new color diagram has some unfamiliar features:
1.  The green region of the traditional diagram
     is swollen…as seen by the large MacAdam   ellipses.  In the new diagram, the swelling has subsided.
2.   In the new diagram, but not in the old, the points representing adjacent spectral colors on its periphery are clustered in the spectral region of the peaks of the sensitivity curves. This is to be expected.
Traditional color diagram

New (dotted) color diagram

a*b* color diagram

 

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