A system for displaying three dimensional (3D) images. The system includes a 3D display operating in a first state to display a 3D image by outputting light into a viewing space and operating in a second state in which the 3D image is not displayed. The system further includes a screen element positioned between the 3D display and the viewing space. The screen element reflects light from the viewing space to appear opaque to a viewer in the viewing space when the 3D display operates in the second state. The screen element transmits the light output by the 3D display, whereby the 3D display image is perceivable by the viewer in the viewing space. The screen element includes a sheet of mesh or netting material that transmits light output by the 3D display through its pores or openings and may be a planar sheet of scrim, tulle, or chiffon.