The paper presents a comparative study of linear and parametric interp
olators used for command generation during CNC machining. For many dec
ades, linear interpolators have been used in NC machines for command g
eneration. Recently, a parametric interpolator has been developed that
is designed for command generation for parametric curves (or surfaces
). Two algorithms for the online implementation of this parametric int
erpolator are introduced. The comparison is mainly based on memory siz
e, feedrate fluctuation and CPU time. Other considerations include tra
cking errors and jerk magnitude. Results show that the parametric inte
rpolator is favourable in the machining of free-form geometry in terms
of high speed and tight tolerancing.