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The Bézier curve passing through four points is cubic. In this case its
where t ∈ [0,1]
The points in the equation above are the control points. That is not what i wanted. I want the curve to pass through the four points and not using the points as control points.
Is there a way to determine the control points of a bezier curve that passes through 4 points? The points are (0,0), (1,1), (8,2) and (27,3). From the points we can know the curve is y = (x)^(1/3), but how do we plot in Bezier curves? Also the curves must be C1 continuous. I really appreciate any help. thx in advance
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