A planning device generating control data for a treatment apparatus for cornea transplantation using a laser device to separate a corneal volume by at least one cut surface in the cornea and to separate a transplant, from a surrounding transplantation material by at least one cut surface, wherein the planning device includes an interface supplying measurement data relating to parameters of the cornea. A computer defines a corneal cut surface which confines the corneal volume to be removed, and determines a transplant cut surface by using the transplantation material data and depending on the defined corneal cut surface. The transplant cut surface confines the transplant, and the computer generates one control data for each cut surface to control the laser, wherein the respective cut surfaces can be produced by the laser to isolate the corneal volume and the transplant and to make them removable.