Smith & Pokorny (1975) cone fundamentals

Data key

Columns

Energy

  1. Wavelength (nm)
  2. log L-cone spectral sensitivity
  3. log M-cone spectral sensitivity
  4. log S-cone spectral sensitivity

Quantal

  1. Wavelength (nm)
  2. log L-cone spectral sensitivity
  3. log M-cone spectral sensitivity
  4. log S-cone spectral sensitivity

Notes

    The Smith & Pokorny cone fundamentals were obtained from the following transformations:

 

 

 

where , and are the Judd, Vos modified CIE, XYZ color matching functions.

    See Smith & Pokorny (1975), and p. 615 of Wyszecki and Stiles (1982).

    Note that L(l)+M(l) = V(l).

These logarithmic M- and L-cone fundamentals differ slightly from the Smith & Pokorny cone fundamentals calculated from the CIE Judd, Vos XYZ CMFs in the 3rd or 4th decimal place < 680 nm. The S-cone function, however, differs by up to ~0.3 log unit from the calculated tables > 600 nm. The authors provided us with this note about the origin of their S-cone function, for which we thank them:

Here is the history. Some time ago we had the Wyszecki & Stiles 1 nm tabulation of the 1931 CIE CMFs and coordinates scanned into one of our computers. When we needed 1-nm Vos/Judd data, we used the Vos equations and the scanned coordinates to derive the coordinates. These yield close but not identical chromaticity coordinates as the Vos tabulation. The discrepancies are small. We typed in the Vos and computed the CMFs.


Here are the:
DeMarco, Pokorny & Smith functions

References

DeMarco, P., Pokorny, J. & Smith, V. C. (1992). Full spectrum cone sensitivity functions for X-chromosome linked anomalous trichromats. Journal of the Optical Society of America A, 9, 1465-1476.

Smith, V. C. & Pokorny, J. (1975). Spectral sensitivity of the foveal cone photopigments between 400 and 500 nm. Vision Research, 15, 161-171.

Wyszecki, G., & Stiles, W. S. (1982). Color Science: concepts and methods, quantitative data and formulae. (2nd ed.). New York: Wiley.

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