CIELAB tolerance formula

The CMC tolerance method uses an ellipse as the range of visual chromatic aberration, and the result is closer to the human eye. Therefore, many industries believe that the CMC representation of chromatic aberration is more accurate than the CIELAB representation.

(The tolerance of CMC is different from the shape of different sizes in the color space)

â–³ Ecmc = [(â–³ L * / 1SL) 2+ (â–³ Cab * / cSc) 2+ (â–³ Hab * / SH) 2] 1/2

Using the â–³ Ecmc formula, first set the two constants 1 and c in the formula according to the type of product. If 1: c is equal to 2: 1, the error range of â–³ Ecmc will be looser than that of 1: c equal to 1.4: 1.

The closeness of human eye color evaluation and each tolerance method can be used as the following diagram

Accuracy comparison of various color difference formulas:

CIELAB 75%
CIELCH 85%
CMC (2: 1) 95%

1: Influence of C ratio on CMC tolerance range

When the 1 and c constants are determined, the cf value can be used to control the entire color tolerance range. If cf is larger, the tolerance is larger, and on the contrary, smaller is the tighter tolerance.

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