Abstract: This invention is related to displaying three-dimensional views and three-dimensional objects on a two-dimensional screen. More specifically, this invention is related to user interfaces of software displaying three-dimensional objects. The invention provides a way for the user to peek around his fingers, which are on top of the user interface or the augmented reality view. This can be implemented, for example, by using the front camera of the smart phone or the tablet to follow where the eyes and/or the face of the user is, and if the user moves his head the view displayed on the screen is changed to provide an illusion of a changed perspective so that the user would see what's beneath his fingers on the screen.