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Results tagged with convolution
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user 84930
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Relation between Cox-deBoor recursion and Convolution (b-spline basis)
_{i+1}$
otherwise, $=0$
$N_{i,p}(u)=\frac{u-u_{i}}{u_{i+p}-u_{i}}N_{i,p-1}(u)+
\frac{u_{i+p+1}-u}{u_{i+p+1}-u_{i+1}}N_{i+1,p-1}(u)$
Now, I read that b-Splines can also be produced using recursive convolution … And if so, how can I apply convolution to the knot spans of a knot vector to produce the same b-spline basis that we'd get by using the Cox-deBoor formula?
Thanks. …