Sensory Primary
The three mathematically derived primary components representing the red, green, and blue stimuli required to match a specific color under standardized viewing conditions form the foundation of colorimetry. Calculating the tristimulus values of a dyed yarn sample allows digital color matching systems to convert complex spectral data into simple coordinates. These values are designated as capital X, Y, and Z.
Mathematical Derivation
The calculations integrate the spectral reflectance of the fabric, the spectral distribution of the light source, and the standard observer functions representing human eye sensitivity. The Y value is particularly important because it is scaled to match the human eye’s perception of lightness. In a typical dyehouse setup, these calculations are performed automatically by the spectrophotometer’s microprocessors.
When the spectral data is multiplied by these weight factors, the resulting numbers represent the chemical dye density needed to replicate the target.
Industrial Application
Dyeing software utilizes these values to calculate initial recipes and predict metamerism. By ensuring the numbers match under different light profiles, the software reduces the number of test dyeings needed in the laboratory.
Light Dependence
Numerical color values are highly dependent on the chosen illuminant and standard observer angle, which can be either two degrees or ten degrees. Changing the illuminant in the software recalculates these numbers, which can lead to a different color match.