The present invention relates to a device as well as a method for the additive manufacture of components by deposition of material
layers by layer-by-layer joining of
powder particles to one another and / or to an already produced pre-product or substrate, via selective interaction of the
powder particles with a high-energy beam, wherein, for
smoothing a surface of the component being produced running crosswise to the deposited material
layers in between the deposition of two
layers of the component, the complete
edge region of the last layer that is applied and that runs along a surface of the component being produced is compacted in a direction of action that has a directional component parallel to the build-up direction of the layers, and / or at least one
edge region (19) of a surface of the component (3′) is also compacted.