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Results tagged with interpolation
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user 132216
Interpolation is the theory of constructing smooth functions, usually polynomials or trigonometric polynomials, whose graph passes through a number of given points in the plane. Splines and Bézier curves, piecewise linear or cubic interpolation, Lagrange and Hermite interpolation are example topics.
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Accepted
Marsden's Identity and B-splines
I found the solution after some research, hence I'll post it here in case anyone have curiosity:
Marsden's Identity states that for all $\tau$ in $\mathbb{R}$ it holds that:
$$(\cdot -\tau)^{k-1}=\s …
- 515
4
votes
1
answer
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Marsden's Identity and B-splines
Marsden's Identity states that for every $\tau$ in $\mathbb{R }$:
$$(\cdot -\tau)^{k-1}=\sum_j\Psi_{j,k}(\tau)B_{j,k,t} \, ,$$
with $\Psi_{j,k}=(t_j-\tau)\times...\times(t_{j+k-1}-\tau)$.
Following …
- 515