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Posted 26 September 2013 - 09:25 AM

Quadratic Bezier curves are very simple to do with 3 points. The equation of the curve would be $$C(t) = P_0(1-t)^2 + 2P_1t(1-t)+P_2t^2$$ and you vary t from 0 to 1 to get the whole curve. You can design the curve to pass through your middle point, so you'll have to find the second control point. You can use the Hermite spline formulation to get that second control point.

Posted 26 September 2013 - 09:21 AM

Hermite splines are okay, but quadratic Bezier curves are very simple to do with 3 points. The equation of the curve would be $$C(t) = P_0(1-t)^2 + 2P_1t(1-t)+P_2t^2$$ and you vary t from 0 to 1 to get the whole curve.

Quadratic Bezier curves are simple to do with 3 points. The equation of the curve would be $$C(t) = P_0(1-t)^2 + 2P_1t(1-t)+P_2t^2$$ and you vary t from 0 to 1 to get the whole curve.