An apparatus for generating a correcting cut surface in the cornea including a laser unit, which can focus and move pulsed laser radiation; a first contact element; and a control unit, controlling the laser unit which has a standard setting which, when a standard curvature is imposed upon corneal surface by the first contact element, would lead to a standard cut surface. The standard cut surface has a known curvature with respect to a reference surface. The curvature, with respect to the reference surface of the correcting cut surface to be generated deviates from the known curvature of the standard cut surface. The apparatus includes a second contact element adapted to generate the correcting cut surface, which cornea imposes an actual curvature deviating from the standard curvature, thus generating a cut surface using the standard setting results in the correcting cut surface to be generated.