The system has a laser (20) for the removal of cornea tissue, and units for time and position controlled guidance of the radiation (20) of the laser on the eye (10). The system has a unit for an optical coherence tomography with another laser for carrying out optical coherence tomography on the eye. A computer (C) controls the former laser and the units for time and position controlled guidance of the radiation of the former laser on the eye for obtaining a new shaping of the cornea (12) during cutting of the cornea tissue.
