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The CIE 1924 photopic V(λ) luminosity function, [cie 3] which is included in the CIE 1931 color-matching functions as the y (λ) function, has long been acknowledged to underestimate the contribution of the blue end of the spectrum to perceived luminance. There have been numerous attempts to improve the standard function, to make it more ...
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A comparison between a typical normalized M cone's spectral sensitivity and the CIE 1931 luminosity function for a standard observer in photopic vision. In the CIE 1931 model, Y is the luminance, Z is quasi-equal to blue (of CIE RGB), and X is a mix of the three CIE RGB curves chosen to be nonnegative (see § Definition of the CIE XYZ color space).
Graph of photopic luminosity function (black) including CIE 1931 (solid), Judd-Vos modified (dashed), and Sharpe, Stockman, Jagla and Jagle 2005 (dotted); and scotopic luminosity function, CIE 1951 (green).
English: Photopic luminosity function for the human eye in the infrared after Sliney (1976), based on CIE luminous efficacy function to 770 nm, extrapolated curve of Walraven and Leebeck (1963) based on Goodeve (1936), Pinegin (1945), Griffin, Hubbard and Wald (1947), Lau and Leo (1948), and Lewis (1955); corroborated by Sliney (1976).
set terminal svg font "Bitstream Vera Sans,12" size 600, 400 set output "CIE_1951_scotopic_luminosity_function.svg" set xrange [380: 700] set yrange [0: 1] set xtics axis nomirror set ytics axis nomirror set key off set border 3 plot "scvle_1.txt" using 1: 2 \ with line linetype rgbcolor "blue" linewidth 2
In modern photometry, the radiant power at each wavelength is weighted by a luminosity function that models human brightness sensitivity. Typically, this weighting function is the photopic sensitivity function, although the scotopic function or other functions may also be applied in the same way. The weightings are standardized by the CIE and ...
Mathematically, for the spectral power distribution of a radiant exitance or irradiance one may write: =where M(λ) is the spectral irradiance (or exitance) of the light (SI units: W/m 2 = kg·m −1 ·s −3); Φ is the radiant flux of the source (SI unit: watt, W); A is the area over which the radiant flux is integrated (SI unit: square meter, m 2); and λ is the wavelength (SI unit: meter, m).