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If we think about this algebraically, what we really want to do is express the input pixel as the weighted sum of palette colours. This is nothing more than a linear combination of palette colours with weights :
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For implementers, there's no Transformer protocol with start(), transform(), flush() methods and controller coordination passed into a TransformStream class that has its own hidden state machine and buffering mechanisms. Transforms are just functions or simple objects — far simpler to implement and test.
Barycentric Coordinates