Inverse image transform

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Does Sage have an inverse image transform?

By that, I mean is there a function where, given an image $X$, and function $f$, it generates an image $Y$, such that pixel $p$ of $Y$ is assigned the color of $f(p) \in X$?

Note that for convenience, you can also say what rectangle the input and output image represent. (I.e. you could say that pixels in $Y$ correspond to points in $[-1,1] \times [-1,1]$.

For reference, here is mathematica's version is called ImageTransformation.