“…In the local methods (Vickers and Quan 1989, Bedi et al 1997, Rao and Sarma 2000, Jensen et al 2002, Yoon et al 2002, only normal curvatures of C (or W i ) and S are considered to orient C. The main disadvantage of the local methods is that there could still be rear gouging, and consequently a secondary iterative gouge-check and correction algorithm has to be implemented (Gray et al 2005). The global methods overcome the disadvantage by using an area of S beneath C to determine the orientation (Warkentin et al 2000, Gray et al 2003, Hosseinkhani et al 2007, Fan and Ball 2008. In particular, the quadric method (QM) (Fan and Ball 2008) exploits fully the orientation angles (α, β) with respect to the machined strip width w. Further, the width evaluation is involved in the method, and its approximation error is conservative and acceptably small.…”