ABSTRACT

R em ark Is On homogeneizing t by t = ti/to one gets tnr = [£q • • • £”]•

Any affine map of the parameter,

does not change a polynomial curve as a whole. However, it changes the parameter values of the points on the curve. Moreover, the reparametrization induces an affine map y = b + B x of A n onto itself which maps the normal curve onto itself such that the points t n are mapped onto the points Sn,

More generally, for an arbitrary parametric curve x — a + A t n spanning A n , this reparametrization induces the affine map

which maps x(£) onto x(s).