A display processor and computer-implemented method are provided for processing three-dimensional [3D] image data for display on a 3D display. The 3D display is arranged for emitting a series of views of the 3D image data which enables stereoscopic viewing of the 3D image data at multiple viewing positions. The series of views may be displayed on the 3D display using overscan. The degree of overscan may be determined as a function of one or more depth range parameters, the one or more depth range parameters characterizing, at least in part, a degree of depth perceived by a viewer when the series of views is displayed on the 3D display.