The invention provides a method to stabilize a pointer displayed within an output image. The method enables the user to magnify selected areas within the output image. This allows the user to `zoom` in on areas of interest in the output image, and to make accurate selections with the stabilized pointer. Design features of the method enable pixel and sub-pixel accurate pointing, which is not possible with most conventional direct pointing devices. The invention can be worked for 2D and 3D pointers.