# How can I interpolate matrix?

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HyoJae Lee on 5 Mar 2021
Commented: Stephen23 on 6 Mar 2021
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
I have 5*5 matrix.
I want to interpolate zeros using nonzero values.
How can I make this one?
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HyoJae Lee on 5 Mar 2021
Just interpolation.
Thanks for helping.

Stephen23 on 5 Mar 2021
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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Stephen23 on 6 Mar 2021
"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:

### More Answers (1)

darova on 5 Mar 2021
Use scatteredInterpolant