An optical measuring and/or presetting method for a combined measuring and/or presetting of a set of profile machining tools comprises a plurality of individual profile machining tools is proposed, wherein the individual profile machining tools of the set of profile machining tools are configured for a successive machining of side edges of stone slabs, with at least one tool presetting and/or tool measuring apparatus, by means of which in at least one first tool measuring step an at least partly and/or at least section-wise concave-curved work contour, in particular milling contour or polishing contour, of a first profile machining tool of the set of profile machining tools is optically captured in an at least semi-automated manner, wherein in a first tool presetting step profile coordinates are assigned to the work contour of the first profile machining tool captured in the first tool measuring step, said profile coordinates being stored in a memory unit of the tool presetting and/or tool measuring apparatus.

In a method for machining a cutting tool and a machining device for carrying out the method, the cutting tool includes a cutting tool body and at least one cutting insert with at least one cutting edge attached to the cutting tool body. A three-dimensional surface of the cutting tool is predetermined. Cutting edge boundary surfaces are determined from this surface, which form a surface of the cutting insert and are located adjacent to a cutting edge of the cutting insert. The machining device is controlled on the basis of these cutting edge boundary surfaces and removes material from the cutting insert in a targeted manner, whereby a collision between the cutting tool and a material removal device of the machining device is prevented.