invisibility suit

a lot of the proposed designs for invisibility have involved capturing images or light from one side of the target object and projecting it onto some kind of screen on the other side. I'm wondering if the system needs to be that complex. would it be possible to line an object with a specialized grid of fibre optic wires that completely redirect the light that comes into contact with them along their special path onto the desired side of an object?
I have an basic understanding of how fiber optic technology works but by no means have the technical ability to pull this off. I'll have to consult the Internet or perhaps a physics professor as to how efficiently fiber optics and absorb and channel ambient light as opposed to the focused and specialized light used in most applications.