An autostereoscopic display device comprises: a display panel having an array of display pixels for producing a display, the pixels being arranged in rows and columns; and at least two arrays of light output directing elements, the arrays being arranged in series over the display panel at different depths, each array being controllable to direct the light output from respective groups of pixels in different directions to enable a stereoscopic image to be perceived. The device is operable to selectively control any one of the arrays to provide the light output directing function, thereby providing respective first and second three dimensional display modes having different amounts of perceived depth.