How can I interpolate matrix?

M = [0,0,0,0,31.2117;0,0,0,0,0;0,0,0,0,0;0,0,0,0,0;33.4177,0,33.0571,0,32.2147]
M = 5×5
         0         0         0         0   31.2117
         0         0         0         0         0
         0         0         0         0         0
         0         0         0         0         0
   33.4177         0   33.0571         0   32.2147
[Xi,Yi] = find(M);
[Xo,Yo] = ndgrid(1:size(M,1),1:size(M,2));
A = griddata(Xi,Yi,nonzeros(M),Xo,Yo)
A = 5×5
       NaN       NaN       NaN       NaN   31.2117
       NaN       NaN       NaN   31.7632   31.4624
       NaN       NaN   32.3147   32.1344   31.7132
       NaN   32.8662   32.6859   32.3851   31.9640
   33.4177   33.2374   33.0571   32.6359   32.2147

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KALYAN ACHARJYA 2021-3-5

编辑：KALYAN ACHARJYA 2021-3-5

@Stephen Cobeldick Sir, to what extent can we interpolate, is there any certain ways to measure the acceptibility of interpolated data points, because in this example available data points are very few only?

And yes you have shown in the best way, in the first section of the given data, there are no reference data points.

Thanks for your answer! This is learning for me tool. Appreciated!

Stephen23 2021-3-6

"is there any certain ways to measure the acceptibility of interpolated data points..."

No, there is no certain way to measure the acceptability. The usefulness of interpolation (and extrapolation) depends on having sufficient prior knowledge and understanding about the underlying physical process being modelled:

https://en.wikipedia.org/wiki/All_models_are_wrong

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