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I'm trying to draw a $6$ grade (start point, $4$ control points, end point) Bézier curve but the API offers me only cubic and quadratic curves methods.

Is there a way to split or approximate the $6$ (or $n$) grade curve only through cubic or quadratic curve(s) ?

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This is called "degree reduction" and there's quite a lot of literature on it. The short answer is that there isn't an exact reduction, so you have to approximate; the approximation you choose depends on what you care about most.

I suggest you start with a good bibliography on Bézier curves.

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  • $\begingroup$ It seems that I can use a BSpline curve that will use those points and then split it to Bezier curves.... $\endgroup$ – Alex Dec 22 '11 at 9:30

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