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In the mathematical field of numerical analysis and in computer graphics a Bézier spline is a spline curve where each polynomial of the spline is in Bézier form.
Definition Given a spline S of degree n with k knots xi we can write the spline as a Bézier spline as S(x) = left egin S_0(x) = & sum_^ eta_ b_(x) & x in x_0, x_1) \ S_1(x) = & sum_^ eta_ b_(x - x_1) & x in x_1, x_2) \ vdots & vdots \ S_(x) = & sum_^ eta_ b_(x - x_) & x in x_, x_k) \ end ight. See also | ||||||||
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