XYZ Conversion Matrices

Use following Matrices to transform RGB values into XYZ (linear source required)

 

BT.709

0.4123907992659600 0.3575843393838780 0.1804807884018340
0.2126390058715100 0.7151686787677560 0.0721923153607337
0.0193308187155918 0.1191947797946260 0.9505321522496610

 

BT.2020

0.6369580483012910 0.1446169035862080 0.1688809751641720
0.2627002120112670 0.6779980715188710 0.0593017164698620
0.0000000000000000 0.0280726930490874 1.0609850577107900

 

DCI-P3

0.4920158300037700 0.2696001179022440 0.1329709466808800
0.2315368611782450 0.7019776654813150 0.0664854733404400
0.0000000000000000 0.0457811520966075 0.9086348023193470

 

D-Gamut

0.6481719686338150 0.1940581498207550 0.1082258085971010
0.2830046623612430 0.8131960563917360 -0.0962007187529791
-0.0182583653136286 -0.0831677784946093 1.1904838945681200

 

S-Gamut3

0.7064827131923190 0.1288010497905580 0.1151721640687950
0.2709796708134920 0.7866064112209060 -0.0575860820343976
-0.0096778453861962 0.0046000374925199 1.0941355586535500

 

S-Gamut3.Cine

0.5990839207583270 0.2489255161154240 0.1024464901779210
0.2150758201155870 0.8850685017437280 -0.1001443218593160
-0.0320658495445058 -0.0276583906794915 1.1487819909838800

 

ACES

0.9525523959381860 0.0000000000000000 0.0000936786316605
0.3439664497650750 0.7281660966134860 -0.0721325463785608
0.0000000000000000 0.0000000000000000 1.0088251843515900

 

 

Use Matrices as shown:

 

To calculate x- and y-coordinate for representation in CIE 1931 system use:

x = X / (X+Y+Z)

y = Y / (X+Y+Z)