A curve consists of an circular arc and a line as the following equations: (0) = (sin(0), - cos(0), 0), (0 = [0, π]) (t = [0,1]) 7₂ (1)=(-21,1,0), P₂ = ₂(1) P₁=₁(z) = ₂(0) 2₂ (1) (0) P₁ = (0) Check the geometric continuity of the curve.
A curve consists of two parabolas as the following equations: f(u) = (-1+u²,2u-u²,0), (u [0,1]) g(v) = (2v-v²,1-v²,0).(v=[0,1]) Check the parametric continuity of the curve. 1 Ä -1 1 x
Bézier curve F(u) is defined by three control points as following. P= (0,0), P = (100,0), P₂ = (100,100) Evaluate 7 (0.5) and (0.5) by the de Casteljau algorithm. y 100 0 10 100 8
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