I have a part that has a fairly complex machining path.  In the part below, the path is a spline, and the floor twists as the slot progresses.

I can make the geometry using the conventional modeling tools, but wanted to investigate different techniques. 

The geometry I need could be duplicated with an endmill, but the path and angle would need to be defined by splines.  Is there a way to 'Cut' the part just as one would using a 5-axis machine?