A planning system generates control data for a treatment device for eye surgery that creates at least two incision surfaces in the cornea using a laser apparatus. The planning system includes a computation device configured to specify the cornea incision surfaces based on data of a refractive correction. The cornea incision surfaces include an access incision and a cap incision, with the access incision having a smaller diameter than the cap incision. The computation device being configured to generate a control data record for the cornea incision surfaces for purposes of controlling the laser apparatus.
