A method of displaying an autostereoscopic image of two viewpoints, called image viewpoints, each formed of a plurality of strips of subpixels, called image strips, on an autostereoscopic display screen configured to display N viewpoints, called screen viewpoints, N being greater than or equal to 3, and comprising a matrix of pixels arranged by lines and columns, each pixel being composed of a plurality of subpixels of different colours, the said display screen comprising an optical component, such as an array of cylindrical lenticules or parallax barrier, configured to allow the projection of two predetermined screen viewpoints respectively to the right eye and to the left eye of a privileged observer located at a nominal distance from the screen, called solid colour distance (Zp), the said method comprising the following steps: - a step of detection, at each instant, of the position of the said observer relative to a predetermined point of the display screen, enabling the coordinates X, Y, Z of the observer to be defined with a predetermined accuracy, in an orthonormal reference system in which the said predetermined point of the screen is the origin of the said reference system, the said screen defining the X and Y axes of the said reference system and the direction perpendicular to the screen defining the Z axis of the said reference system, - a step of determining, for each eye of the observer at the said detected position, subpixels of the screen forming strips visible by that eye and corresponding to 1/N th of the total screen, - a step of determining subpixels of the screen forming strips of the screen that are not visible by either of the observer's two eyes at the said detected position and corresponding to (N-2)/N th of the total screen, - a step of assigning to the said subpixels of each visible strip of the screen, for each eye of the observer at the said detected position, subpixels of the respective image strip for that eye, - a step of assigning to the said subpixels of the strips of the screen not visible by either of the two eyes of the observer, subpixels corresponding to viewpoints, called safety viewpoints, constructed from subpixels of image strips and intended to adapt the display to the X, Y, Z movements of the observer and to compensate for the said accuracy of detection of the said position of the privileged observer. - a step of detection, at each instant, of the position of the said observer relative to a predetermined point of the display screen, enabling the coordinates X, Y, Z of the observer to be defined with a predetermined accuracy, in an orthonormal reference system in which the said predetermined point of the screen is the origin of the said reference system, the said screen defining the X and Y axes of the said reference system and the direction perpendicular to the screen defining the Z axis of the said reference system, - a step of determining, for each eye of the observer at the said detected position, subpixels of the screen forming strips visible by that eye and corresponding to 1/N th of the total screen, - a step of determining subpixels of the screen forming strips of the screen that are not visible by either of the observer's two eyes at the said detected position and corresponding to (N-2)/N th of the total screen, - a step of assigning to the said subpixels of each visible strip of the screen, for each eye of the observer at the said detected position, subpixels of the respective image strip for that eye, - a step of assigning to the said subpixels of the strips of the screen not visible by either of the two eyes of the observer, subpixels corresponding to viewpoints, called safety viewpoints, constructed from subpixels of image strips and intended to adapt the display to the X, Y, Z movements of the observer and to compensate for the said accuracy of detection of the said position of the privileged observer.