Relationship to image inpainting
Taking the mean, mode and median of the neighboring intensities:
$E_2(g) = \sum_{i=1}^N \left| f_i-g \right|^2$, $E_0(g) = \sum_{i=1}^N \left| f_i-g \right|^0$ and $E_1(g) = \sum_{i=1}^N \left| f_i-g \right|^1$.
Intensity transformation [$s=T(r)$]: most are application/image dependent.
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