I have this image…

I would like to transform it perspective like this via code…

Is that possible in MonoTouch?
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Without having tried it, but as Monotouch sits on top of its ObjectiveC counterpart and binds almost all its API, I would say yes and therefore you may want to refer to this question here on Stackoverflow
Tilt image with UIKit
and that one
How do I apply a perspective transform to a UIView?
They deal with almost the same effect you want to achieve. You should be able to translate the code into Monotouch pretty easily.
Happy coding.