A method for displaying an input image on a display includes receiving the input image to be displayed on the display. The image is modified with a first process to determine a driving signal for a two-dimensional backlight array of independently selectable light emitting elements of the display. The first modified image is modified with a second noise reducing process to determine a driving signal for a two-dimensional liquid crystal layer defining pixels of the display. The two-dimensional backlight array has a different density of light emitting elements than the two-dimensional liquid crystal layer defining the pixels of the display.