Method for determining a tool path and method for material-removing machining of a workpiece and associated machine tool and computer program product

A system for machining a workpiece having a first workpiece portion and a second workpiece portion adjacent to the first workpiece portion, the system comprising:

• a machine tool comprising a milling tool, the machine tool structured to move the milling tool along a tool path, wherein the tool path comprises a first path section for machining the first workpiece portion, the first path section comprising path segments adapted to a geometry of the first workpiece portion, and wherein the tool path comprises a second path section for machining the second workpiece portion, comprising path segments adapted to a geometry of the second workpiece portion;
• a non-transitory memory device with computer-readable program code stored thereon;
• a processing device operatively coupled to the non-transitory memory device, wherein the processing device is configured to execute the computer-readable program code to:
• determine the first path section in such a way that the path segments of the first path section cover the first workpiece portion except for a first edge section that is omitted by the path segments of the first path section;
• determine the second path section in such a way that the path segments of the second path section cover the second workpiece portion except for a second edge section that is omitted by the path segments of the second path section;
• and
• determine a transition section of the tool path, comprising path segments covering the first edge section and the second edge section, wherein the path segments of the first path section, the second path section and the transition section collectively cover the entire first workpiece portion and the entire second workpiece portion.