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The lightness function L star is identical in CIELAB and CIELUV, being based on

  • A.the square of the luminance factor relative to white
  • B.the luminance factor itself without transformation
  • C.the cube root of the luminance factor relative to white
  • D.the logarithm of the luminance factor relative to white

Answer: C

Correct answer: the cube root of the luminance factor relative to white

\[ L^* = 116\left(\frac{Y}{Y_n}\right)^{1/3} - 16, \] with a linear segment near black to avoid the infinite slope there. The two spaces share this function exactly, so a colour has the same lightness in both and they differ only in how they treat chromaticity.

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