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Results tagged with splines
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user 56150
Splines and their properties and applications. A spline is a function defined piecewise by polynomials, and is typically used in interpolating problems.
4
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0
answers
731
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Estimating overshoot in spline interpolation
Say I have a spline space $\mathcal S$ of dimension $n$ with a set of unisolvent points $(\xi_i)_{i=1}^n$, i.e., points at which I can unambiguously interpolate within the spline space. So, given valu …
- 278
6
votes
Accepted
Norms of B-spline coefficients
The caveat is that this equation occurs in a chapter on Chebysheffian splines, and I don't yet fully understand if it fully applies to the standard B-spline situation. … Update: I have since found a more palatable reference, namely De Boor, Splines as linear combinations of B-splines. A Survey (1976). Theorem 5.2 states what you need. …
- 278
6
votes
1
answer
632
views
Maximum of a B-spline
Given $p+2$ nondecreasing (and not all identical) knots $t_0, \ldots, t_{p+1}$ on the real line, consider the normalized B-spline of degree $p$ defined over these knots.
We know that the B-spline is …
- 278