Profile Scanpath

This eyetracking scanpath of a bust of Nefertiti by Alfred Yarbus 50 years ago shows how one person's gaze surveyed this face in profile. 

It seems the ear is an important landmark, but the viewer didn't actually look at the cheek or chin very much. In an isolated object like this, it also appears that the eye is indeed following some contours, though in a jagged, jumpy sort of way.  Source of image