I want to put an edge loop on this subsurfed base mesh so it acts as supporting geometry for the teeth so they aren't so round:
However, as you can imagine, this would create some problems in the other parts of the mesh because they would look too "sharp":
I've tried moving the unnecessary part of the edge loop to the center of the face, but this makes the subsurf in that area flatter, which I do not want. How do I get rid of the unnecessary parts of the edge loop? I want this mesh to be only quads, so a quad-only solution would be preferred.