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ciexyY2XYZ

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The ciexyY2XYZ function determines the CIE cone-fundamental-tristimulus values X,Y,ZX,Y,Z from CIE 1931 xx and yy chromaticity coordinates and the corresponding photometric unit YY. Any errors in the data set or in results generated with the Lighting Toolbox are not in the liability of the CIE nor me, see license.

Usage:

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[XYZ,X,Y,Z] = ciexyY2XYZ(x,y,Y)
[XYZ,X,Y,Z] = ciexyY2XYZ(x,y,Y)
[XYZ,X,Y,Z] = ciexyY2XYZ(x,y,Y)

Where:

ParameterDescription
XYZ X,Y,ZAre the CIE 1931 cone-fundamental-tristimulus values X,Y,ZX,Y,Z.
x and yAre the CIE 1931 normalized cone-fundamental trisitmulus values xx and yy.
YIs the photometric unit, e.g. illuminance EE or luminance LL.

Examples

Derive cone-fundamental tristimulus values X,Y,ZX,Y,Z from CIE 1931 xx and yy coordinates and corresponding luminance LL:

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x = 0.2165;
y = 0.4358;
L = 100;
XYZ = ciexyY2XYZ(x,y,L)
x = 0.2165; y = 0.4358; L = 100; XYZ = ciexyY2XYZ(x,y,L)
x = 0.2165;
y = 0.4358;
L = 100;
XYZ = ciexyY2XYZ(x,y,L)

Result:

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XYZ =
49.679 100.000 79.784
XYZ = 49.679 100.000 79.784
XYZ =

    49.679   100.000    79.784

Derive cone-fundamental tristimulus values X,Y,ZX,Y,Z from CIE 1931 xx and yy coordinates and several corresponding luminances LL:

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x = 0.2165;
y = 0.4358;
L = [100:100:1000]';
XYZ = ciexyY2XYZ(x,y,L)
x = 0.2165; y = 0.4358; L = [100:100:1000]'; XYZ = ciexyY2XYZ(x,y,L)
x = 0.2165;
y = 0.4358;
L = [100:100:1000]';
XYZ = ciexyY2XYZ(x,y,L)

Result:

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XYZ =
49.679 100.000 79.784
99.358 200.000 159.569
149.036 300.000 239.353
198.715 400.000 319.137
248.394 500.000 398.922
298.073 600.000 478.706
347.751 700.000 558.490
397.430 800.000 638.274
447.109 900.000 718.059
496.788 1000.000 797.843
XYZ = 49.679 100.000 79.784 99.358 200.000 159.569 149.036 300.000 239.353 198.715 400.000 319.137 248.394 500.000 398.922 298.073 600.000 478.706 347.751 700.000 558.490 397.430 800.000 638.274 447.109 900.000 718.059 496.788 1000.000 797.843
XYZ =

     49.679    100.000     79.784
     99.358    200.000    159.569
    149.036    300.000    239.353
    198.715    400.000    319.137
    248.394    500.000    398.922
    298.073    600.000    478.706
    347.751    700.000    558.490
    397.430    800.000    638.274
    447.109    900.000    718.059
    496.788   1000.000    797.843

Derive cone-fundamental tristimulus values X,Y,ZX,Y,Z from several CIE 1931 xx and yy coordinates and corresponding illuminances EE:

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x = linspace(0.2,0.3,10)';
y = linspace(0.3,0.4,10)';
E = [100:100:1000]';
XYZ = ciexyY2XYZ(x,y,E)
x = linspace(0.2,0.3,10)'; y = linspace(0.3,0.4,10)'; E = [100:100:1000]'; XYZ = ciexyY2XYZ(x,y,E)
x = linspace(0.2,0.3,10)';
y = linspace(0.3,0.4,10)';
E = [100:100:1000]';
XYZ = ciexyY2XYZ(x,y,E)

Result:

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XYZ =
66.667 100.000 166.667
135.714 200.000 307.143
206.897 300.000 424.138
280.000 400.000 520.000
354.839 500.000 596.774
431.250 600.000 656.250
509.091 700.000 700.000
588.235 800.000 729.412
668.571 900.000 745.714
750.000 1000.000 750.000
XYZ = 66.667 100.000 166.667 135.714 200.000 307.143 206.897 300.000 424.138 280.000 400.000 520.000 354.839 500.000 596.774 431.250 600.000 656.250 509.091 700.000 700.000 588.235 800.000 729.412 668.571 900.000 745.714 750.000 1000.000 750.000
XYZ =

     66.667    100.000    166.667
    135.714    200.000    307.143
    206.897    300.000    424.138
    280.000    400.000    520.000
    354.839    500.000    596.774
    431.250    600.000    656.250
    509.091    700.000    700.000
    588.235    800.000    729.412
    668.571    900.000    745.714
    750.000   1000.000    750.000

Derive cone-fundamental tristimulus values XX and ZZ from several CIE 1931 xx and yy coordinates and corresponding illuminances EE:

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x = linspace(0.2,0.3,10)';
y = linspace(0.3,0.4,10)';
E = [100:100:1000]';
[~,X,~,Z] = ciexyY2XYZ(x,y,E)
x = linspace(0.2,0.3,10)'; y = linspace(0.3,0.4,10)'; E = [100:100:1000]'; [~,X,~,Z] = ciexyY2XYZ(x,y,E)
x = linspace(0.2,0.3,10)';
y = linspace(0.3,0.4,10)';
E = [100:100:1000]';
[~,X,~,Z] = ciexyY2XYZ(x,y,E)

Result:

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X =
66.667
135.714
206.897
280.000
354.839
431.250
509.091
588.235
668.571
750.000
Z =
166.67
307.14
424.14
520.00
596.77
656.25
700.00
729.41
745.71
750.00
X = 66.667 135.714 206.897 280.000 354.839 431.250 509.091 588.235 668.571 750.000 Z = 166.67 307.14 424.14 520.00 596.77 656.25 700.00 729.41 745.71 750.00
X =

    66.667
   135.714
   206.897
   280.000
   354.839
   431.250
   509.091
   588.235
   668.571
   750.000

Z =

   166.67
   307.14
   424.14
   520.00
   596.77
   656.25
   700.00
   729.41
   745.71
   750.00

Reference

Bruce Lindbloom, xyY to XYZ, http://www.brucelindbloom.com/Eqn_xyY_to_XYZ.html

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