A device and a method for producing control data, which are designed to control a laser machining device to surgically correct ametropia of an eye in which, in order to define a space in the cornea, defines a front cutting surface, a rear cutting surface and an edge section, which are to be produced as cutting surfaces in the cornea. The rear cutting surface has a non-circular, oval edge lying in a plane, the edge section connecting the edge to the front cutting surface and the edge section being designed as a non-rotationally symmetrical cylinder or truncated cone, the base of which is the edge.