A method for generating control data for a treatment device includes providing cornea data based on data of a refractive correction and specifying the cornea incision surfaces. The cornea incision surfaces include a cap incision surface disposed beneath a surface layer of corneal tissue and partially defining a selected lenticule volume and a lenticule incision surface disposed beneath the cap incision surface and further defining the selected lenticule volume. The method further includes generating a control data record for the cornea incision surfaces for purposes of controlling the laser apparatus. The cap incision surface is irregularly shaped and has extensions into surrounding tissue, and/or the lenticule incision surface is irregularly shaped and has extensions into surrounding tissue. The lenticule incision surface and the cap incision surface isolate the selected lenticule volume.
