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Volume: 30 | Article ID: art00017
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

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,

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