Abstract: A method for replacing a set of parameters, the method including producing a cutting edge with a laser cutting machine using a set of parameters. The cutting edge has a machining error. The machining error is classified according to a type. Several modified sets of parameters are generated based on the classification. Further cutting edges are produced using the modified sets of parameters. Each modified set of parameters is used to produce one further cutting edge. The method includes creating an evaluation of the further cutting edges by rating an occurrence of machining errors for each, ascertaining which of the further cutting edges was evaluated as best, and replacing the set of parameters with the optimized set of parameters. The optimized set of parameters is based on the modified set of parameters with which the ascertained further cutting edge that was evaluated as best was produced.

Abstract: In some aspects, methods includes forming intersecting apertures in a workpiece with a laser beam by moving the laser beam along intersecting line paths, and cutting out a portion of a shape from the workpiece by moving the laser beam along a continuous final path extending around an intersection point of the intersecting line paths.

Abstract: In some aspects, methods includes forming intersecting apertures in a workpiece with a laser beam by moving the laser beam along intersecting line paths, and cutting out a portion of a shape from the workpiece by moving the laser beam along a continuous final path extending around an intersection point of the intersecting line paths.