Method for machining flat surfaces of a workpiece

Method for machining of flat surfaces (30) of a workpiece (32) using a tool (10) which is laterally inclined (α) against a flat surface (30), guided with a contact point (34) on the flat surface (30) and moved in a collision-free manner, wherein the flat surface (30) is machined using a tool (10) with a cutting contour (18), which has a conically convex design, at one flank (16) of the tool (10), and to avoid a one-sided collision completely machined by the tool (10) with a pivot angle (ß) in parallel to the flat surface (30) and to avoid a two-sided collision by the tool (10) with at least two different pivot angles (ß, ß′) in parallel to the flat surface (30), wherein the flat surface (30) is divided into at least two machining segments (44, 44′, 44″) to avoid the two-sided collision collision and each of the at least two machining segments (44, 44′, 44″) is assigned an individual pivot angle (ß, ß′) of the tool (10) to avoid collision,

• wherein in case of the one-sided collision the flat surface is machined in multiple passes and the pivot angle runs continuously between a pre-defined minimum angle at a non-limited side and said pivot angle, and wherein in case of the two-sided collision the at least two machining segments of the flat surface are machined by the tool in multiple passes, with the pivot angle of the tool of the at least one machining segment being continuously interpolated with the pivot angle of the tool of the at least other machining segment, and vice versa, such that the tool swings continuously back and forth in multiple passes across the at least two machining segments between the calculated pivot angles.