control points choice

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control points choice

Finding the two control points of the quadratic Bézier curve is trivial, since we want the Bézier curve endpoints to match the elliptical arc endpoints:

	$\displaystyle B_1(0)$	$\displaystyle = E(\eta_1) \Rightarrow P_1 = E(\eta_1)$
	$\displaystyle B_1(1)$	$\displaystyle = E(\eta_2) \Rightarrow P_2 = E(\eta_2)$

$\framebox[0.86\textwidth]{\parbox{0.81\textwidth}{%% \vspace{2ex}The control poi... ...n as follows: \begin{align*} P_1 &= E(\eta_1)\\ P_2 &= E(\eta_2) \end{align*}}}$

Luc Maisonobe 2005-05-29