A planning apparatus for generating control data for a treatment device, which produces at least one cut surface it the cornea by application of a laser apparatus, and to such a treatment device. The invention further relates to a method for generating control data for a treatment device, which produces at least one cut surface in the cornea by application of a laser apparatus. For this purpose, the planning apparatus determines a first access cut for the cap cut, and a second access cut for the lenticular cut, wherein the tissue is completely severed in the region of the access cuts.
