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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.
written 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.3 years ago by gravatar for pedsangini276 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 7.9 years ago by gravatar for teamques10 teamques10 ★ 65k

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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