Abstract: When the movement of a machine element is guided by a multi-axial, numerically controlled machine through the selection of interpolation points which are calculated and stored off-line, a tool-radius correction is rendered possible. This occurs because correction interpolation points are calculated on the basis of interpolation points and thus, with the least possible expenditure of time, a new trajectory curve can be generated, with which the radius changes are considered. In addition, a change in feedrate can be achieved through the selection of override values by placing fine interpolation points between two interpolation points at a time.