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The formula Px(u) = (1 u)Px-(u) + uP -11+1(u), 0 Susi, 15k sn, osisn-k is the deCasteljau algorithm to calculate the value of Bezier curve

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The formula Px(u) = (1 u)Px-(u) + uP -11+1(u), 0 Susi, 15k sn, osisn-k is the deCasteljau algorithm to calculate the value of Bezier curve B: .(u), where j=0 Po, (u) = P,, 05jsn. Then it holds C(u) = P(u). Prove that for any Osu, sl the straight line determined by Pro-2 (U) and P.-(u) tangent the Bezier curve C(u) to C(u). The formula Px(u) = (1 u)Px-(u) + uP -11+1(u), 0 Susi, 15k sn, osisn-k is the deCasteljau algorithm to calculate the value of Bezier curve B: .(u), where j=0 Po, (u) = P,, 05jsn. Then it holds C(u) = P(u). Prove that for any Osu, sl the straight line determined by Pro-2 (U) and P.-(u) tangent the Bezier curve C(u) to C(u)

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