Edit: For having real-time drawing, started using lwjgl which is base of jmonkeyengine and jocl in an \"interoperability\" between opengl and opencl, now can calculate a
There is a pretty solid set of documentation within the JMonkeyEngine wiki which talks quite a bit about how to utilize the transformations you are referring to, which can be found here: Advanced Spatial Concepts.
In addition, there is quite a bit of information regarding the meshes and their rendering which you can view here: Polygon Meshes.