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Extrapolation

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Extrapolation is often required when interpolation techniques cannot be used while mapping information from one dataset to a grid. Extrapolation methods vary, yielding different results both in quality and in performance. This article proposes a couple of simple extrapolation techniques based that use all the information available to extrapolate. The techniques inspire from the weighted average principle.

Weighted Average

O = \frac{ \sum_i w_i \, I_i }{\sum_i w_i};

Geometric Weighted Average

Squared Weighted Average

Gaussian Weighted Average

See also