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3. Image Interpolation

Jan Modersitzki

Abstract

This chapter introduces FAIR interpolation tools. The objective is to find a function T interpolating data dataT ∈ ℝn given on a grid. More precisely, for given points xj ∈ ℝd the function T is required to satisfy the interpolation conditionT(xj)=dataT(j)forj=1,…,n.As an additional convention, it is assumed that the function T vanishes outside the domain, i.e., T(x)=0 (x) = 0 for x ∉ Ω.

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Key concepts: Interpolation (computer graphics), Bilinear interpolation, Mathematics, Section (typography), Piecewise, Spline interpolation, Stairstep interpolation, Spline (mechanical)