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I need to write an openGL program to generate and display a piecewise quadratic Bezier curve that interpolates each set of data points.

0.1 0, 0 0, 0 5, 0.25 5, 0.25 0, 5 0, 5 5, 10 5, 10 0, 9.5 0

The curve should have continuous tangent directions, the tangent direction at each data point being a convex combination of the two adjacent chord directions.

I am not good at math, can anyone give me some suggestions about what formula I can use to calculate control point for Bezier curve if I have a starting point and an ending point.

Thanks in advance

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Cross-post from math.SE. @Bezier Guy, this is considered bad etiquette because it increases the chances that someone will spend time coming up with an answer unnecessarily - because they can't see that you already got the same answer elsewhere. – Peter Taylor May 31 '11 at 21:43
Sorry, I shouldn't do this. – Bezier Guy May 31 '11 at 22:28
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and math.se is probably a better place for this anyway =) – Jari Komppa Sep 19 '11 at 9:54

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