According to certain embodiments, a method for laser cutting treatment of a human eye comprises: determining position information of a pupil center of the eye in relation to a point of minimal corneal thickness in an undeformed state of the eye; locating the point of minimal corneal thickness in a flattened state of the eye, in which the eye is deformed by contact with a patient adapter of a laser device; and aligning a pulse firing pattern for laser radiation pulses of the laser device, based on a position of the located point of minimal corneal thickness and the determined position information. In embodiments, the pulse firing pattern represents, for example, a lenticular or doughnut-shaped intracorneal tissue volume which is to be removed from the cornea of the eye.