An interactive display in which alternating illuminators are used to reduce or cancel specular reflections. The interactive display includes multiple illuminators and at least one camera placed behind one or more display layers. The interactive display uses a phase management mechanism that controls alternation of phases of the interactive display. When in the first phase, the first illuminator is controlled to dominate over the second illuminator. When in the second phase, the second illuminator is controlled to dominate over the first illuminator. A consolidated image is then formulated using a combination of the first and second images. The consolidated image has reduced or eliminated specular reflections as compared to the first and second images alone.