The "imperial" gaze of Alexander is distinctly different from the gaze of Napoleon ...

the "imperial" gaze follows conventions of sculpture, while Napoleon is portrayed in paint, allowing the artist to use more creativity of expression.

      
Alexander's expression is compassionate and fatherly, unlike the stern, controlling gaze of Napoleon.

      
Alexander looks past the viewer into the future while Napoleon engages the viewer in the present.

      
Alexander makes no eye contact with the viewer to emphasize his position as ruler over conquered subjects, but Napoleon's direct gaze links his identity and condition to that of the common man.