Question
Write the formula for the cubic Bezier curve with control points P0 (0, 1), P1 (4, 8), P2 (5, -1) and P4 (7, 3).
Answer :
Word Count : 311
The formula for a cubic Bézier curve is given by: \[ B(t) = (1 - t)^3 P_0 + 3(1 - t)^2 t P_1 + 3(1 - t) t^2 P_2 + t^3 P_3, \quad t \in [0,1] \] where \( P_0, P_1, P_2, P_3 \) are the control points. ### Given Control Points: - \( P_0 = (0,1) \) - \( P_1 = (4,8) \) - \( P_2 = (5,-1) \) - \( P_3 = (7,3) \) (Note: ___ ___ _______ ____ _______ ______ ___ __________ __________ ________ _________.
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The formula for a cubic Bézier curve is given by: \[ B(t) = (1 - t)^3 P_0 + 3(1 - t)^2 t P_1 + 3(1 - t) t^2 P_2 + t^3 P_3, \quad t \in [0,1] \] where \( P_0, P_1, P_2, P_3 \) are the control points. ### Given Control Points: - \( P_0 = (0,1) \) - \( P_1 = (4,8) \) - \( P_2 = (5,-1) \) - \( P_3 = (7,3) \) (Note: ___ ___ _______ ____ _______ ______ ___ __________ __________ ________ _________.
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