1. A method for displaying an image onto a relief projection surface using a projection system, the method comprising setting the projection system to obtain and save a value of a setting parameter thereof, defining one of colors and textures for individual facets of a computer model defining the relief projection surface, constructing an image to be projected according to the computer model of at least one of the colors and textures defined for the individual facets and of the saved value of the setting parameter, and projecting the constructed image onto a projection surface of a three-dimensional screen produced in a translucent material, the screen comprising a front face on which the projected image is displayed and a rear face forming the projection surface, wherein setting the projection system comprises automatically measuring, using a fixed camera, a distance separating virtual reference frame points projected onto the projection surface from real reference frame points produced on the three-dimensional screen, the method further comprising acquiring, using the fixed camera, an image of the rear face of the three-dimensional screen, identifying a position of a finger in contact with the front face of the three-dimensional screen in the acquired image, and controlling an appliance according to the identified position of the finger.