1. A control method for guiding a motion of a movable machine element of a numerically controlled industrial processing machine, such as a machine tool, a robot and the like, comprising the steps of: orienting the machine element in a workspace using orientation vectors; subdividing an orientation and a motion path of the machine element into a plurality of sequential contiguous motion segments; changing the orientation of the machine element within a motion segment by tilting an orientation vector from a start vector to an end vector about a first angle in a plane spanned by the start vector and end vector and about a second angle perpendicular to the plane, and interpolating the first and second angles of the orientation vectors over several motion segments.