For a better experience and a smoother perception of AR, all the functional elements should be removed from the screen. The fiducial markers are better kept hidden. This can be done by covering a marker with a virtual model that looks larger than the marker. In the simplest case, a planar image with a pattern or pictures can be used. The smartest way is to imitate a texture of a physical surface by photographing its fragment and reproducing it several times. For instance, the marker is placed on a wooden tabletop, then the game takes of photo of the wooden texture, and covers the marker with fragment of the photo. Of course, such a model is hard to develop and in many cases, the output can be less than ideal, but it looks very interesting.
It is spectacular to utilize 3D models in AR games; they express the idea of a center of a game scene better. If the marker defines a position for a character, the model that hides it is sometimes called a AR 3D puppet...