wrap STL around a cyclinder Is it possible to wrap an STL around a cylinder in Blender using one of the deforms?

E.g. is it possible to wrap this STL
https://www.thingiverse.com/thing:651829
around a cylinder to create a face mug?

(I was thinking of using a wave deform one wavelength long and then splitting the STL, inverting one half of the wave and rejoining it with the other half of the wave deformed STL, but that would not result in a circular shape.)

Thanks
Consider a 


Curve modifier with a NURBS Circle.
Simple Deform modifier with Bend Selected