An apparatus for generating a display image for a display panel of an autostereoscopic display, the auto stereoscopic display comprising a display arrangement including the display panel and a view forming optical element arranged to project the display image in a plurality of view cones, the apparatus comprising: a source for providing a three dimensional representation of a scene to be displayed; a generator for generating the display image from the three dimensional representation, the generator being arranged to, for each of at least some pixels of the display image: determine a scene view point direction indication reflecting a view point direction for the scene in response to a direction mapping function and a view cone projection direction indication reflecting a projection direction for the pixel within the view cones, the direction mapping function reflecting a relationship between view cone projection directions and scene view point directions; and determine a pixel value corresponding to the view point direction from the three dimensional representation; a processor for determining a viewer characteristic indicative of a number of current viewers; and an adapter for adapting the direction mapping function in response to the viewer characteristic, wherein the adapter is arranged to adapt the direction mapping function to reduce at least one of a scene view point direction deviation and a magnitude of a derivative of the direction mapping function for at least some view cone projection directions in response to the viewer characteristic being indicative of an increasing number of current viewers, a scene view point direction deviation reflecting a deviation from a scene view point direction corresponding to a central view cone projection direction. a source for providing a three dimensional representation of a scene to be displayed; a generator for generating the display image from the three dimensional representation, the generator being arranged to, for each of at least some pixels of the display image: determine a scene view point direction indication reflecting a view point direction for the scene in response to a direction mapping function and a view cone projection direction indication reflecting a projection direction for the pixel within the view cones, the direction mapping function reflecting a relationship between view cone projection directions and scene view point directions; and determine a pixel value corresponding to the view point direction from the three dimensional representation; determine a scene view point direction indication reflecting a view point direction for the scene in response to a direction mapping function and a view cone projection direction indication reflecting a projection direction for the pixel within the view cones, the direction mapping function reflecting a relationship between view cone projection directions and scene view point directions; and determine a pixel value corresponding to the view point direction from the three dimensional representation; a processor for determining a viewer characteristic indicative of a number of current viewers; and an adapter for adapting the direction mapping function in response to the viewer characteristic, wherein the adapter is arranged to adapt the direction mapping function to reduce at least one of a scene view point direction deviation and a magnitude of a derivative of the direction mapping function for at least some view cone projection directions in response to the viewer characteristic being indicative of an increasing number of current viewers, a scene view point direction deviation reflecting a deviation from a scene view point direction corresponding to a central view cone projection direction.