A planning unit produces control data for a treatment device for eye surgery which produces at least two cutting planes in a cornea of the eye using a laser unit. The planning unit includes a calculation module for establishing cornea cutting planes and is configured to establish the cornea cutting planes based on data of a refraction correction. The cornea cutting planes are determined so as to include a cap cut, a lenticule cut, a first access cut for accessing the cap cut, and a second access cut for accessing the lenticule cut. The planning unit is also configured to produce a control data set for actuating the laser unit for the cornea cutting planes.
