literature on transformation of images

[Chee Yap]

Is there any open literature about the following
basic problem?  Given a raster image I, and a 
linear transformation T, to compute the new image T(I).  

Usually T is a rigid transformation, perhaps
combined with a dilation.

Of course, such an algorithm must be implemented in
any of the software that manipulates images,
but I want to know if there are non-trivial
things to be said for this problem.

Thanks, Chee

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