i have a long rectangular face
That sounds like a lot to expect from this procedure. Fat grafting is extremely effective in doing exactly what it sounds like - adding volume to specific regions. Fat often survives to varying degrees under the best of circumstances but it is ideal for increasing fullness (volume) where it is injected. It is good to fill hollows, to even out irregularities (whether idiopathic or secondary to previous surgery such as liposuction) and so on...but I think it is unlikely to modify the overall shape of the face such as you describe. You should, of course, obtain information specific to your physical appearance from a consultation with a board-certified plastic surgeon. I hope that this helps and good luck, Dr. E