Hi Matadem, that's usually called a "displacement map" in rendering programs.

Here are some examples using Blender:
https://www.youtube.com/watch?v=Cnot0rbXrsQ
https://www.youtube.com/watch?v=u-tnO8jA5Lg

Also the ZBrush and 3D Coat sculpting programs are very focused on displacement so they have various tools for it. You could probably find some tutorials using those programs also.

You would export your model out from MOI and then bring it in to Blender, ZBrush, or 3D Coat and apply the displacement map texture there.

- Michael