A method of processing a workpiece with a first surface and a second surface facing away therefrom includes the following principal steps: (i) blocking the workpiece with the aid of a blocking material on a blocking member with the blocking material between blocking member and first surface, (ii) processing the workpiece by a geometrically defined cutting edge at the second surface for achieving the desired macrogeometry, (iii) processing the workpiece by a geometrically undefined cutting edge at the second surface for achieving the desired microgeometry and (iv) deblocking the workpiece from the blocking member. The principal step (ii) includes a plunge-cutting sub-step (ii.2) in which by a geometrically defined cutting edge an encircling plunge cut is produced which extends through the first surface as far as into the blocking material so that the workpiece with a predetermined edge profile remains on the blocking member radially within the plunge cut.