A device for producing control data for a laser device for the surgical correction of defective vision. The device generates the control data to control the laser, the optics and the scanner to cut the cornea by focusing the laser radiation and by shifting the position of the focus within the cornea. The control data controls the scanner to shift the position of the focus within the cornea. The device generates the control data such that the laser, the optics and the scanner emit and focus the laser radiation such, that a volume in the cornea is isolated. The removal of which volume from the cornea effects a desired correction of the defective vision. To determine the control data, the device is configured to calculate a radius of curvature RCV* of the cornea reduced by the volume wherein the radius of curvature RCV* is locally varying.