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A more efficient method to calculate the B-Spline curve is Cox-De Boor algorithm Cox-De Boor algorithm Suppose we want to evaluate the spline curve for a parameter value $u \in [u_{\ell},u_{\ell+1}]$ . We can express the curve as $$\mathbf{C}(u) = \sum_{i=0}^{n} \mathbf{P}_i N_{i,p}(u)$$ where $$N_{i,p}(u)=\frac{u-u_i}{u_{i+p}-u_i}N_{i,p-1}(u) + ...



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