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Volume: 30 | Article ID: art00017
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Chromaticity Matrix to Tristimulus Matrix Conversion for RGB Color Spaces–Even In the Dark
  DOI :  10.2352/ISSN.2470-1173.2018.16.COLOR-324  Published OnlineJanuary 2018
Abstract

Two methods to transform primary chromaticities and white point into primary tristimulus values are examined and compared. One method appears in numerous places in the literature; we refer to this as the "familiar" method, and provide a novel interpretation of it. The second is much less well-known and is referred to as the "unfamiliar" method. Necessary and sufficient conditions for computing primary tristimulus values from their chromaticities are identified; in brief, the triangle in the (x, y) chromaticity diagram must have non-zero area. The computational burdens for the methods were compared; the familiar method required slightly more arithmetical operations. Two problems with the familiar method were identified: high potential for rounding error and the inability to contend with a non-luminous primary. The unfamiliar method is less prone to rounding error, and is able to contend with primaries on the alychne. It is recommended that the unfamiliar method be preferred.

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J a Stephen Viggiano, Nanette Salvaggio, Nitin Sampat, "Chromaticity Matrix to Tristimulus Matrix Conversion for RGB Color Spaces–Even In the Darkin Proc. IS&T Int’l. Symp. on Electronic Imaging: Color Imaging XXIII: Displaying, Processing, Hardcopy, and Applications,  2018,  pp 324-1 - 324-7,  https://doi.org/10.2352/ISSN.2470-1173.2018.16.COLOR-324

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