> <\body> \; Bézier curves are special types of rational curves, which use Bernstein bases to represent the polynomial functions. \ A Bézier parametric curve is the image of a map : [a,b]*\ \> of the form <\equation*> s\[a,b]*\>\ B>(s;a,b) where \\> are the control points, and (s; u,v)= (s-u)(v-s)>, d)> are the Bernstein basis elements of degree for the interval . A rational \ Bézier curve is constructed as follows: <\equation*> s\[a,b]*\>w \ B>(s;a,b) \ |>w B>(s;a,b) > where \\> are the of the control points (usually \0>). The degree of the parametrisation is >. <\initial> <\collection>