Arne Valberg, "Color induction: Dependence on luminance, purity, and dominant or complementary wavelength of inducing stimuli," J. Opt. Soc. Am. 64, 1531-1540 (1974)
By use of the haploscopic color-matching method, the colors induced by chromatic surrounds into an achromatic central field of a constant lower luminance (10 mL) have been measured. For inducing colors of constant chromaticity, an increasing luminance yielded induced colors of lower lightness but of constant chromaticity. For 21 dominant and complementary wavelengths of the inducing stimuli, the induced colors have been measured as functions of the purity of the surround. The results can be described within an opponent color metric by means of simple simultaneous power equations in the partial and resultant opponent purities, with wavelength-dependent exponents and constants, and one linear equation for the luminance ratio. For a unit change of purity of the inducing color, the exponents of the power functions represent a measure of the strength of induction. The values of the exponents and the constants have been tabulated and plotted against wavelength. By interpolation in these curves, it is possible to predict the equivalent color-matching coordinates of an induced color, for any combination of dominant wavelength and purity of the inducing color stimulus. A quantitative formulation of color induction that also incorporates the dependence on (a) the photopic light adaptation level, (b) the angular size of the annular inducing stimulus, and (c) the time of fixation of the test field, is suggested.
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Corresponding CIE tristimulus values for inducing stimulus and induced color; the inducing color being of constant dominant or complementary wavelength. The data are separated for different days of measurement.
The tristimulus values X, Y, and Z are normed so that Y of the inducing stimulus is the luminance in mL, and Y of the induced color is the luminance ratio between the center and the surround of the reference field. The coordinates of the achromatic reference surround RS and the achromatic test central field TC were equal: Xw = 88.82, Yw = 100.00, Zw = 121.74, xw = 0.286, yw = 0.322.
Table II
Induction coefficients b1λ, b2λ, bλ and constants a1λ, a2λ, aλ derived from double logarithmic plots of the experimental data. The pm1 and pm2 values (relative to xw = 0.286, yw = 0.322 as origin) serve for the calculation of qλ in Eq. (12).
Xw = 88.82, Yw = 100.0, Zw = 121.74, xw = 0.286, yw = 0.322
The stimuli marked with * are those for which the results are shown in Figs. 7 and 8.
These additional values for C23 and W99 seem to yield a better fit of the experimental data in the pm1, pm2 diagram.
These values could not be determined with the necessary certainty in the respective system; the corresponding value of b1λ or b2λ is therefore also uncertain (see section Partial and Resultant Purities).
Tables (2)
Table I
Corresponding CIE tristimulus values for inducing stimulus and induced color; the inducing color being of constant dominant or complementary wavelength. The data are separated for different days of measurement.
The tristimulus values X, Y, and Z are normed so that Y of the inducing stimulus is the luminance in mL, and Y of the induced color is the luminance ratio between the center and the surround of the reference field. The coordinates of the achromatic reference surround RS and the achromatic test central field TC were equal: Xw = 88.82, Yw = 100.00, Zw = 121.74, xw = 0.286, yw = 0.322.
Table II
Induction coefficients b1λ, b2λ, bλ and constants a1λ, a2λ, aλ derived from double logarithmic plots of the experimental data. The pm1 and pm2 values (relative to xw = 0.286, yw = 0.322 as origin) serve for the calculation of qλ in Eq. (12).
Xw = 88.82, Yw = 100.0, Zw = 121.74, xw = 0.286, yw = 0.322
The stimuli marked with * are those for which the results are shown in Figs. 7 and 8.
These additional values for C23 and W99 seem to yield a better fit of the experimental data in the pm1, pm2 diagram.
These values could not be determined with the necessary certainty in the respective system; the corresponding value of b1λ or b2λ is therefore also uncertain (see section Partial and Resultant Purities).
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