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Results tagged with interpolation
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user 71113
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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Natural neighbor interpolation
Recently I am interested in Natural neighbor interpolation, that is :
Given a function $P(x)$ and some interpolation points $\{x_i,P(x_i)\}_{i=1}^N$, we have the interpolation function $$P^*(x)=\sum_{ … there exists a constant $C$ such that $$\sup_{X,Y}\left\{\dfrac{|P^*(X)-P^*(Y)|}{\|X-Y\|}\right\}\leq CL$$
holds, which means that the Lipschitz constant of the whole domain is bounded by that of the interpolation …
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