The fact is, human eyes lose information. A wide variety of possible combination of mixture of wave length and intensity get mapped into the activation pattern of just a few type of cells. Because of this, completely different mixture of light can produce the same color.
If your goal is merely reproduce the image as how a human would see it, all you need are a few pixels that activate these cells the same way. RGB is based on our understanding of what cells are there in our eyes.
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