Method for controlling the laser beam deflection for the processing of irradiation points in an irradiation field by means of a laser beam for laser-based additive manufacturing processes, with the steps: - guiding the laser beam to the irradiation field by reflection from at least a first via a second orthogonally rotatable vertical mirror, - securing of the first mirror on a first shaft and of the second mirror on a second shaft, the method being characterised by the following further steps: - excitation of the first rotatable mirror to a continuous first vibration with a first frequency by the first shaft, - excitation of the second rotatable mirror to a continuous second vibration with a second frequency by the second shaft, - embodiment of the first frequency different to the second frequency and/or there being a phase difference between the first vibration and the second vibration, - having a known position of each of the two shafts, such that the first vibration can be generated synchronously to the second vibration via the known position of the two shafts, - such that a position-dependent irradiation of the irradiation points in the irradiation field is brought about by position-dependent activation/deactivation of the laser upon reaching/leaving an irradiation point of this type, - wherein a continuous Lissajous curve is described in the irradiation field via the generated vibrations of the mirrors. - guiding the laser beam to the irradiation field by reflection from at least a first via a second orthogonally rotatable vertical mirror, - securing of the first mirror on a first shaft and of the second mirror on a second shaft, the method being characterised by the following further steps: - excitation of the first rotatable mirror to a continuous first vibration with a first frequency by the first shaft, - excitation of the second rotatable mirror to a continuous second vibration with a second frequency by the second shaft, - embodiment of the first frequency different to the second frequency and/or there being a phase difference between the first vibration and the second vibration, - having a known position of each of the two shafts, such that the first vibration can be generated synchronously to the second vibration via the known position of the two shafts, - such that a position-dependent irradiation of the irradiation points in the irradiation field is brought about by position-dependent activation/deactivation of the laser upon reaching/leaving an irradiation point of this type, - wherein a continuous Lissajous curve is described in the irradiation field via the generated vibrations of the mirrors. - excitation of the first rotatable mirror to a continuous first vibration with a first frequency by the first shaft, - excitation of the second rotatable mirror to a continuous second vibration with a second frequency by the second shaft, - embodiment of the first frequency different to the second frequency and/or there being a phase difference between the first vibration and the second vibration, - having a known position of each of the two shafts, such that the first vibration can be generated synchronously to the second vibration via the known position of the two shafts, - such that a position-dependent irradiation of the irradiation points in the irradiation field is brought about by position-dependent activation/deactivation of the laser upon reaching/leaving an irradiation point of this type, - wherein a continuous Lissajous curve is described in the irradiation field via the generated vibrations of the mirrors.