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Results tagged with splines
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user 359867
Splines are flexible functions, knit together from polynomial parts, used for approximation or smoothing. This tag is for any kind of spline (eg, B-splines, regression splines, thin-plate splines, etc).
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splines: uniform knot positions
Suppose we have 8 uniformly distributed interpolation points
x = 1 2 3 4 5 6 7 8
and want to define a bspline curve of order k=5, hence the knot vector has 8+5=13 elements.
Typically, the first and l …
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How to convert B-Spline to piecewise polynomials?
Suppose I have a basis spline $$ S(x) = \sum\limits_i N_{i,k} a_i $$ defined on the interval $x \in [a,b]$
with control points $a_i$, degree $k$. $N_i$ are the basis spline functions. The knot vector …