Abstract: The invention relates to a method for processing a work piece by removing material with a tool in which the tool is guided over the work piece in paths. The pivoting and cambering angle of the tool is selected in every point such that the width of a tolerance zone is optimized. Within said zone, the effective zone (K) of the tool is located in a tolerance zone of the desired specified surface (Psi) of the work piece. The distance between two points (Pl, Pr) is maximized, said points characterizing the furthest outlying points of the tolerance zone. As a result, it possible to produce surfaces having a high precision with a small number of paths.