An autostereoscopic display device comprises a display panel (3) having an array of display pixel elements (5) for producing a display, the display pixel elements being arranged in rows and columns. An imaging arrangement (9) directs the output from different pixel elements to different spatial positions to enable a stereoscopic image to be viewed. The imaging arrangement comprises first and second polarization-sensitive lenticular arrays (50,52), wherein the light incident on the imaging arrangement is controllable to have one of two possible polarizations, and wherein each of the two possible polarizations gives a different 3D mode. These multiple modes can be used to increase the resolution, or increasing the number of views, or provide additional functionality to the display device.