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Quantal
A version of the Stockman and Sharpe (2000) 2-deg S-cone fundamental, but based on the Stiles and Burch (1955) 2-deg CMFs. It is proposed as a replacement for other Stiles and Burch (1955) based S-cone fundamentals, such as the S-cone fundamental of Vos, Estévez and Walraven (1990).
The 2° S-cone spectral sensitivity [S(l) or
] is defined as linear combinations of the Stiles
and Burch (1955) 2-deg CMFs
,
and
.
Its derivation requires a knowledge of the single unknown,
, in the following equation:

Stockman, Sharpe & Fach (1999)
estimated the unknown from cone spectral sensitivity and color matching data to be
=0.01625. The value of
, the true absolute value of
which is unknown, was chosen so that the function peaks at one.
For further details, see Stockman, Sharpe & Fach (1999). Stockman, Sharpe & Fach (1999) were unable to measure S-cone spectral sensitivity data after 615 nm, after which S(l) is so small that it can reasonably, for most purposes, be set to zero.
Stiles, W. S., & Burch, J. M. (1955). Interim report to the Commission Internationale de l'Éclairage Zurich, 1955, on the National Physical Laboratory's investigation of colour-matching (1955) with an appendix by W. S. Stiles & J. M. Burch. Optica Acta, 2, 168-181.
Stockman, A., Sharpe, L. T., & Fach, C. C. (1999). The spectral sensitivity of the human short-wavelength cones. Vision Research, 39, 2901-2927.
Stockman, A., & Sharpe, L. T. (2000). Spectral sensitivities of the middle- and long-wavelength sensitive cones derived from measurements in observers of known genotype. Vision Research, 40, 1711-1737.
Vos, J. J., Estévez, O. & Walraven, P. L. (1990). Improved color fundamentals offer a new view on photometric additivity. Vision Research, 30, 936-943.
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