Question: A quartic Bzier curve is determined by five control points, p 0 , p 1 , p 2, p 3 , and p 4 :

A quartic Bézier curve is determined by five control points, p0, p1, p2, p3, and p4:


x(t) = (1 t) Po + 4t (1 t)p + 6t(1 t)p


Construct the quartic basis matrix MB for x(t).

x(t) = (1 t) Po + 4t (1 t)p + 6t(1 t)p + 4t(1-1)P3 + 14p4 for 0 t1

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