1. A method for determining an orientation of a hand proximate to a touch sensing surface, the method comprising: identifying a plurality of touches from a touch image of the hand proximate to the touch sensing surface, wherein each of the plurality of touches has a first centroid; weighting the plurality of touches; determining a second centroid of the plurality of weighted touches; fitting an ellipse around the second centroid to the plurality of weighted touches; and determining an orientation of the hand based on parameters of the ellipse.