That's not like any XYZ colour space transform I've ever seen?

It depends on the chromaticities of the source/target RGB space, but say for sRGB to XYZ, one would use the matrix transform:

[ 0.4124564  0.3575761  0.1804375 ]
[ 0.2126729  0.7151522  0.0721750 ]
[ 0.0193339  0.1191920  0.9503041 ]

And the reverse, XYZ->sRGB:

[ 3.2404542 -1.5371385 -0.4985314 ]
[ -0.9692660  1.8760108  0.0415560 ]
[ 0.0556434 -0.2040259  1.0572252 ]

- Peter

-----Original Message----- From: Sandy Harris
Sent: Monday, April 11, 2011 2:06 PM
To: Pentax-Discuss Mail List
Subject: A sensor question

The usual sensor uses basically three types of element -- R, G and B
-- in a particular layout.
Why not X Y Z where X = R+G, Y = R+G+B, Z = G+B ?

You can get RGB from XYZ easily enough:

 Y-X = R+G+B - R+G = B
 Y-Z = R+G+B - B+G = R

 X+Z-Y = R+G + B+G - R+G+B = R

But the total light you are accepting is 2+2+3 = 7 rather than
1+1+1=3, so you are getting more photons overall. Isn't that
beneficial?

Y also gives you a straightforward monochrome.

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