The invention refers to a method for selective laser melting additive manufacturing a three-dimensional metallic or ceramic article/component entirely or partly. The method includes successively building up said article/component layer by layer directly from a powder bed of a metallic or ceramic base material by means of remelting the layers with a high energy laser beam, moving repetitively across the areas, which are to be solidified. The movement of the laser beam is made of a superposition of a continuous linear movement and at least one superimposed oscillation with a determined frequency and amplitude. The oscillation is created by a beam deflection device and the same beam deflection device is also used for linear positioning movement.