A planning apparatus for generating control data for an eye surgery treatment device which creates at least one cut surface in the cornea using a laser device. The planning apparatus includes a calculation tool for determining the at least one cut surface in the cornea. The calculation tool determines the at least one cut surface in the cornea based on data from a refractive correction and generates a set of control data that control the laser device for the at least one cut surface in the cornea. The at least one cut surface in the cornea includes an edge and optically effective areas. The calculation tool determines the at least one cut surface in the cornea such the at least one cut surface in the cornea is deeper at the edge than in the optically effective areas.
