How do I interpolate along a path of scattered points on a MATLAB grid?

I have a NxN grid of values and a 2xM list of x,y data points to be interpolated onto that grid (obtained from the output of countour on a similar grid of values).

How do I do this in MATLAB?

This is sort of the r开发者_开发技巧everse of the problem that griddata, TriScatteredInterp and perhaps more appropriately, inpaint_nan solves (i.e. scattered points to generate a grid).

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Use interp2, the tool designed to do exactly that.