Can You Avoid Artifacts Between Two Edges?
 

When an edge of one object is directly on top of another edge of another object, the transition from surface to surface theoretically should be seemless, however I am experiencing what I believe is called "artifacts" which can best be seen when I move the camera around. Is there any way to avoid this or, should I choose to render out an animation, are there any post-rendering tricks I can do to avoid this problem?

What type of geometry are we talking about here? NURBS? (If yes, you mighth get away by tweaking the tessellation settings)

polygons

they probably won't appear in the game. I have that kind of thing going on all the time, and they look fine in our engine.