De Boor's algorithm: Difference between revisions

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relate to interpolation, dab spline
Formula corrected: sum_i=0
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We can express the curve as
 
:<math> \vec{s}(x) = \sum_{i=-n0}^{p-1} \vec{d}_i N_i^n(x), </math>
where ''N<sub>i</sub><sup>n</sup>(x)'' are polynomials in x with coefficients depending on ''u<sub>0</sub>, ..., u<sub>p</sub>'' but not <math>\vec{d}_i</math>.
Due to the spline locality property,