Drawing a "page curl" effect

[tmighty2]

I would like to ask for advice on how to achieve such an effect as can be seen in the iPad-only app "Book Creator" (free of charge on the iPad App Store).

The app allows to put text and photos onto images. The images serve as "pages" of a virtual book that the user can curl / flip using a finger. A quick finger stroke will turn / flip the page, but moving the finger slow from an edge inwards reveals a nice page curl. Here is a video that shows this in action:

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I am not sure if it involves a matrix or if can be solved by a projection.

I posted this task on a freelancer forum, but nobody had an idea how to do it, so I will must try to solve it myself.
If anybody has an idea how to start, please shoot.

I am using vbRichClient, so I would like to use Cairo if possible. But if there is any other graphics library capable and perhaps even faster for such a purpose, then of course I would rather use this.
I tried the project sample in Olaf's CairoTutorial, but it was really slow even for a small image already. He mentioned that projection is not natively supported by Cairo and runs on CPU instead.

I guess that projection is what I need. But perhaps I even need a more complex matrix, and I guess if not even projection is supported by Cairo, then also Matrix won't be natively, so perhaps Cairo is not the solution in this case.

Thank you!