iOS transforming a view into cylindrical shape

Question

With Quartz 2D we can transform our views on the x, yand z axis.

In some cases we could even make them look 3D by changing the values of the matrixes.

I was wondering if it could be possible to transform a view into a cylinder shape like in the following picture?

Please ignore the top part of the cylinder. I am more curious to know whether it would be possible warping an UIView around like the side of the cylinder as in the image.

Is that possible only making use of Quartz 2D, layers and transformations (not OpenGL)? If not, is it possible to at least draw it in CGContext to make a view appear like so?