New CIE XYZ functions transformed from the CIE (2006) LMS functions

These functions are linear transformations of the cone fundamentals of Stockman & Sharpe (2000) endorsed by the CIE as the CIE (2006) physiologically-relevant LMS fundamental colour matching functions. Fundamental chromaticity diagram with physiological axes – Part 1. Technical Report 170-1. Vienna: Central Bureau of the Commission Internationale de l' Éclairage. The data are provided either as ascii csv (comma separated values) files, as ascii xml (extensible markup language) files, as html tables—which appear in your browser window, or as dynamic graphical plots. Select the data stepsize and the data units and click the "Submit" button. For further details and references click the icons in the tables. The CMFs are given to 7 sf, and the chromaticiy coordinates are given to 5 dp. The official CIE definition is the version provided at 1-nm steps. At this stepsize, the three CMFs have precisely equal integrals, and therefore an equal-energy white has a chromaticity of 0.333, 0.333. Versions are also provided at stepsizes of 0.1 and 5 nm. Alternatively, these functions can be calculated by linear transformation of the LMS cone fundamentals (tabulated in linear, energy units to 9 sf, which can be found here). Details of the 2-deg transformation can be found here and of the 10-deg transformation here. Following the usual convention, the xyz CMFs are given in units of energy.

Please note that these are proposals that have yet to be ratified by the full TC 1-36 committee. The z CMFs are simply the S-cone fundamentals proposed originally by Stockman, Sharpe & Fach (1999). The y CMFs are the luminous efficiency functions proposed by Sharpe et al. (2011). The derivation of the x CMFs owes much to the work of Jan Henrik Wold. For further details and references, click the icons below.


Colour matching functions

2-deg XYZ CMFs transformed from the CIE (2006) 2-deg LMS cone fundamentals

Format  
      5 nm Cones
 

10-deg XYZ CMFs transformed from the CIE (2006) 2-deg LMS cone fundamentals

Format  
      5 nm Cones
 

Chromaticity coordinates

2-deg coordinates from 2-deg XYZ CMFs

Format  
      5 nm Cones
 

10-deg coordinates from 10-deg XYZ CMFs

Format  
      5 nm Cones