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    4. Color Difference Formulas
    1. Color Measurements
    2. Color Specifications and Measurement Conditions
    3. Measurement Backing
    4. Color Difference Formulas
    5. Create spectral Color Standard (multi M-conditions)
    6. Define a Tolerance
    7. Print Inspector Tolerances
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    November 30, 2022

    Color Difference Formulas

    Color difference has a lot of different formulas that quantify the color difference in various ways.

    ∆E

    The most common is ∆E which can be expressed with numbers calculated using various formulas:

    • ∆E 1976
    • ∆E 1994
    • ∆E 1994 for textiles
    • ∆E CMC (1:1)
    • ∆E CMC (2:1)
    • ∆E 2000 (currently recommended for the print industry)

    None of those single-number formulas is perfect - in most cases, the observer's impression doesn't correlate perfectly with the numbers - in some situations covered color range seems to be different depending on the direction of color variations. 

    Other common deltas:

    • ∆C - saturation difference
    • ∆h - hue angle difference - don't apply on neutral or near neutral colors
    • ∆H - hue difference (linear distance in a*b* plane)
    • ∆L - lightness difference
    • ∆a - linear difference on the magenta-green axis
    • ∆b - linear difference on the yellow-blue axis
    • ∆Ch


    Multi-axes (Snowflake) Tolerances

    This alternate solution is based on tolerances defined for six directions (3-axes). As no one perfect ∆E formula can be easily adopted solution is based on more - than one number, which brings more flexibility in some cases.

     

    Other important metrics 


    Some phenomena ( Metamerism or Fluorescence) can be hard to control when lighting conditions are different than standardized. Invisible UV components can dramatically change how the sample is perceived. Due to different pigmentations/colorants/dyes, two samples might match in one Illuminant and be dramatically different under another.

    The following variables can help solve those potential problems:

    • OBA Index (∆bM1-M2) — reflects the amount of Optical Brightening Agents
      Note: if this index is higher than 1-2, an M1 M-condition should be used!
    • Fluorescent Index —
    • Metamerism Index — 
       
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