A laser apparatus is controlled by a control program that operates to use laser radiation to generate an incision figure in the cornea of an eye, the incision figure including an incision that bounds a corneal tissue volume. The control program operates to move the radiation focus in a radiation propagation direction successively in a plurality of superposed planes such that the radiation focus is moved without motion control in the propagation direction. The control program provides, for each plane, for a meandering scan path of the radiation focus that extends outside the tissue volume. The control program operates to allow through to the eye, in each plane, at least such radiation pulses that generate the first incision and to blank, in at least a fraction of the planes, at least a fraction of radiation pulses assigned to regions of the path that are at a distance from the incision.
