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Given Chromaticity Values x,yx, y , How Do We Reconstitute the Tristimulus Values

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Given chromaticity values x,yx, y , how do we reconstitute the tristimulus values X,Y,ZX, Y, Z ? Actually, this is an impossible question, since chromaticities remove the brightness from colors; therefore a proper question might be: given a target luminance value YY (often taken to be 1), what is the relationship between x,y,Yx, y, Y and X,Y,ZX, Y, Z ?

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