An apparatus for determining an orientation of anatomical cornea structures includes: a lighting device, configured to direct a first luminous radiation, polarized with an orientable polarization direction, towards a cornea, when the cornea is in an observation seat; a control device, configured to modify an orientation of the polarization direction; an image acquisition device, arranged so as to receive a second luminous radiation, transmitted through the cornea arranged in the observation seat and illuminated by the first luminous radiation; and an acquisition polarizing filter, arranged so as to intercept the second luminous radiation directed towards the image acquisition device.