File:CIExy1931 MacAdam.png

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MacAdam(1942) ellipses plotted on the CIE xy 1931 chromaticity diagram. Ellipses are 10 x actual size.

Data taken from Günter Wyszecki and Walter Stanley Stiles, Color Science: Concepts and Methods, Quantitative Data and Formula (2nd edition), Wiley-Interscience. (July 28, 2000). ISBN 0-471-39918-3, Table 2(5.4.1). Each ellipse is centered at [x,y] in the CIE (xy) chromaticity coordinates, with major and minor radii a and b respectively. t is the angle in degrees of the major axis with respect to the x axis, with positive angles going counter-clockwise.

  x     y  10^3a 10^3b t
0.160 0.057 0.85 0.35  62.5
0.187 0.118 2.20 0.55  77.0
0.253 0.125 2.50 0.50  55.5
0.150 0.680 9.60 2.30 105.0
0.131 0.521 4.70 2.00 112.5
0.212 0.550 5.80 2.30 100.0
0.258 0.450 5.00 2.00  92.0
0.152 0.365 3.80 1.90 110.0
0.280 0.385 4.00 1.50  75.5
0.380 0.498 4.40 1.20  70.0
0.160 0.200 2.10 0.95 104.0
0.228 0.250 3.10 0.90  72.0
0.305 0.323 2.30 0.90  58.0
0.385 0.393 3.80 1.60  65.5
0.472 0.399 3.20 1.40  51.0
0.527 0.350 2.60 1.30  20.0
0.475 0.300 2.90 1.10  28.5
0.510 0.236 2.40 1.20  29.5
0.596 0.283 2.60 1.30  13.0
0.344 0.284 2.30 0.90  60.0
0.390 0.237 2.50 1.00  47.0
0.441 0.198 2.80 0.95  34.5
0.278 0.223 2.40 0.55  57.5
0.300 0.163 2.90 0.60  54.0
0.365 0.153 3.60 0.95  40.0

Plots were made as parametric in f where f ranged from 0 to 2 pi

 aa=a[i]*cos(f)
 bb=b[i]*sin(f)
 xx=x[i]+aa*cos(t[i])-bb*sin(t[i])
 yy=y[i]+aa*sin(t[i])+bb*cos(t[i])
 plot,xx,yy


Please see Image:CIExy1931.png for a description of how this image was made.

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current13:34, 2 June 2005Thumbnail for version as of 13:34, 2 June 20051,140 × 1,260 (417 KB)PAR~commonswiki (talk | contribs) MacAdam(1942) ellipses plotted on the CIE xy 1931 chromaticity diagram. Ellipses are 10 x actual size.
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