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de Casteljau algorithm


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A recursive algorithm for computing Bézier curves from the control points. Given control points r0rn, set

rir(u) = (1 − u)rir−1(u) + uri+1r−1(u)

for

r = 1,…n

and

i = 0,…nr

and

ri0(u) = ri

. Then

rin(u)

is the point with parameter value u on the Bézier curve of degree n.

Subjects: Computing.


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