If you use your mouse wheel (or if you're using a trackpad you might have to do a zooming in motion, however your trackpad works) which allows you to zoom in onto your character.
Zooming in fully is first person, but you can vary how far/close the camera is in 3rd person view this way.
The thingy will, however, always be a little off center. That's just how it works, it's a TES game.