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Measuring Instruments

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Measurement Fundamentals
PRECISE COLOR COMMUNICATION
Part 4
XYZ Tristimulus Value (CIE 1931) / Tristimulus Value (CIE 1964)

Color & Light Knowledge

Measuring Instruments

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Tristimulus values determined based on the color matching functions , and defined in 1931 by CIE; also referred to as 2° XYZ tristimulus values. They are suitable for a viewing angle of 4° or less and are defined for reflecting objects by the following formulas:
where
S(λ): Relative spectral power distribution of the illuminant
, , : Color-matching functions for CIE 2° Standard Observer (1931)
R(λ): Spectral reflectance of specimen


Tristimulus values determined based on the color matching functions , and defined in 1964 by CIE; also referred to as 10° XYZ tristimulus values. They are suitable for a viewing angle of more than 4° and are defined for reflecting objects by the following formulas:
where
S(λ): Relative spectral power distribution of the illuminant
, , : Color-matching functions for CIE 10° Supplementary Standard Observer (1964)
R(λ): Spectral reflectance of specimen
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