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I have a densitometer that measures visual density. How do I convert the density values to CIE L*?

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I have a densitometer that measures visual density. How do I convert the density values to CIE L*?

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The full CIELAB L* equations are as follows: L* = 116(Y/Yn)^1/3 – 16 for Y/Yn > 0.008856 L* = 903.29(Y/Yn) for Y/Yn Y/Yn is the relative luminance of the stimulus (relative to white) in a range from 0 to 1.0. You can convert density to relative luminance using: Y/Yn = 10^-D This gives you the equation from Poynton for Y/Yn > 0.008856, which happens to correspond fairly closely with a density of 2.

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