A cubic Bezier curve is defined by the control points as (20,20), (60,80), (120, 100) and (150,30). Find the equation of the curve and its mid point.

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.8 years ago by

pedsangini276 • 4.8k

Mumbai University > Mechanical Engineering > Sem 7 > CAD/CAM/CAE

Marks: 7 M

Year: May2014

cad cam cae

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written 9.4 years ago by

teamques10 ★ 70k

Number of points i.e. k=4,

Hence, we know that the degree of the Bezier curve is n= k-1= 4-1= 3.

Now, to obtain the equation of the Bezier curve in parametric format with parameter ‘u’, we know that

$P(u) = \sum_{i = 0}^n P_i \ B_{i,n}(u)$

where, $n = 3$ …

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