A method for adapting a 3D printing model includes calculating a layer representation model on the basis of a 3D object model of an object; determining a plurality of overhang regions in the layer representation model where the boundary edges of first layers extend over the boundary edges of second layers, the first layers being directly adjacent and subsequent to the second layers when going into the build-up direction of the layer representation model; determining a local overhang angle in each of the plurality of overhang regions; adapting the layer representation model by re-defining the boundary edges of layers in the overhang regions so that the local overhang angle remains below a predetermined overhang threshold angle; and outputting the adapted layer representation model as 3D printing model to the 3D printing apparatus.