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Wow, I'm actually amazed that I interpreted that correctly.
I'm not really familiar with 2D map transformations, but going back to the last example, would the following be true? F(X,Y) = (1 * (X,Y)) + (2 * (sin(X),sin(Y)) ) F(X,Y) = ( X + 2sin(X) , Y + 2sin(Y) ) That is to say, when adding/multiplying points together, does 2 * (sin(X),sin(Y)) = (2sin(X),2sin(Y)) And does (X,Y) + (2sin(X),2sin(Y)) = (X + 2sin(X), Y + 2sin(Y)) or do the operations work differently? Also (and I apologize for asking what I imagine are probably very basic questions), concerning multiple transforms, what part of the equation relates the transforms' effects on the image? That is to say, what variable(s) in the equation cause each transform to build off the next?
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