A method for straightening radial run-out faults or linearity faults on an elongate workpiece having at least one toothed region having peaks and troughs of the teeth of said toothed region, such as on a toothed shaft or a toothed rack, whereby for ascertaining deviations from the ideally straight workpiece, reference values, in particular the locations of the surfaces of the not yet straightened workpiece that form a reference plane, are scanned at least at points or in portions on or at or in the region of the toothing, however at least more or less close to the in particular active reference circle that lies between the peaks and troughs of the teeth;
- and whereby the resulting measured items of data are utilized by a straightening machine such that a workpiece that is as ideally straight as possible at least in the toothed region is achieved by the straightening;
- wherein the elevated locations of neighboring tooth surfaces that lie in the reference plane are detected in a tactile manner;
- and
- wherein the elevated locations of neighboring tooth surfaces that lie in the reference plane are utilized by the straightening machine as corrective measured items of data such that said elevated locations are considered when straightening the workpiece so as to form a workpiece that is as ideally straight as possible in the reference plane.