...-linear function. Later using a nonlinear root finding analysis which guarantees the root(s) in the given interval, those intersections are addressed. Z-map Virtual machining Swept envelope NC tools Natural quadrics Proceedings of IDETC/CIE 2009 ASME 2009 International Design Engineering...

... swept envelopes. In this paper the vector-envelope intersections are formulized for the toroidal section of a fillet-end mill which may be oriented arbitrarily in space. For a given tool motion a toroidal surface generates more than one envelope. In NC machining because the torus is considered as one...