Abstract: Various embodiments include a method for producing a workpiece by means of an additive production method comprising: producing a powder bed slice by slice; smoothing a respective slice being produced with an edge of a slide down to a target level of the respective slice; raising the edge of the slide if an obstacle projects from the target level in the powder bed to a deflection level above the obstacle and, after it has passed the obstacle, lowering the edge of the slide back down to the target level; after the slide has passed the obstacle, smoothing the powder bed in an area of the obstacle using a brush; and building a workpiece slice by slice using local hardening of the powder.