On Tue, Mar 20, 2012 at 12:57 AM, Greg Ewing <greg.ew...@canterbury.ac.nz>wrote:

> Christopher Night wrote:
>
>> The idea is that if we could independently stimulate each of the three
>> colors receptors (cones) in our eyes, then we could reproduce any visual
>> sensation and thereby any color. The problem is ... there's no such thing
>> as a wavelength of light that stimulates the middle (green) cones without
>> also stimulating either of the outer two.
>>
>
> But that means we never experience the sensation of
> having just the green cones stimulated, so there is
> no need to reproduce it.
>
> Unfortunately that's not the case. Here's a simplified example to show the
problem. Consider four variables red, yellow, green and blue, representing
the intensity of four different wavelengths of monochromatic light. Any of
them can have any positive value. Say the amount of stimulation each cone
receives is:

LOW = 1 x red + 0.5 x yellow + 0.2 x green
MEDIUM = 0.2 x red + 0.5 x yellow + 1 x green + 0.2 x blue
HIGH = 0.2 x green + 1 x blue

Now, the question is, how can you reproduce the response you get with
yellow light, with just red, green, and blue? Yellow stimulates the low and
medium cones with equal intensity, and the high cone not at all. So if
(red, yellow, green, blue) = (0, 1, 0, 0), then (LOW, MEDIUM, HIGH) = (0.5,
0.5, 0). Using only red, green, and blue, the only way to get LOW = MEDIUM
is to use equal parts red and green. But if green > 0, then HIGH > 0.

Of course you might say, maybe a different set of three wavelengths would
be able to produce the same response as any monochromatic light. And some
sets do better than others. But as I understand it, no set of three is
perfect. (Also, these are obviously completely made-up numbers.)

-Christopher

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