The coordinates of the four control points of a cubic Bezier curve are: 2 (2.5 (3.5)...

 

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The coordinates of the four control points of a cubic Bezier curve are: 2 (2.5 (3.5) R,2,R, 3 R₂ = 3,R,=2) 2 2 (1) (ii) (iii) Write the equation of the Bezier curve in the parametric form R(u). Find the position, tangent, curvature at u = 0.5 Show that the tangent vector of a cubic Bezier curve is parallel to (R₁ - Ro) at the start point of a Bezier curve and its parallel to (R₂ - R3) at the end point. The coordinates of the four control points of a cubic Bezier curve are: 2 (2.5 (3.5) R,2,R, 3 R₂ = 3,R,=2) 2 2 (1) (ii) (iii) Write the equation of the Bezier curve in the parametric form R(u). Find the position, tangent, curvature at u = 0.5 Show that the tangent vector of a cubic Bezier curve is parallel to (R₁ - Ro) at the start point of a Bezier curve and its parallel to (R₂ - R3) at the end point.

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Lets first arrange the provided control points in order to solve this problem 0 2 2 1 25 2 35 3 3 4 2 P0 22 P 1 25R P 2 353R and P 3 42 The parametric ... View the full answer