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Let's say I measure temperature at locations on a regular 3x5 grid but I am missing data at the 4 grid corners. If I use the available measurements to estimate the grid corner values, am I performing extrapolation or interpolation? It seems like it's extrapolation because at an given corner, I have measurements at only 3 of the 8 neighboring points, and no 2 neighboring points which have measurements can be connected with a line that goes through the grid corner. So does that mean it's extrapolation?

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    $\begingroup$ That's what I would say. Go for it. $\endgroup$ – Ethan Bolker Apr 22 at 12:03

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