how to smooth the data of array to get a smooth surface?

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Abdullah
Abdullah 2023-3-8
评论： William Rose 2023-3-9
how i can remove outliers in data and get a smooth surface?

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William Rose
William Rose 2023-3-8
@Abdullah,
Check this out:
https://www.mathworks.com/help/matlab/data_analysis/convolution-filter-to-smooth-data.html
Or do a median filter, in which each point is replaced by the median of a pxp array centered on that point.
William Rose
William Rose 2023-3-8
Ran in:
@Abdullah, an example of a median filter for a surface:
First, make a surface with some "noise":
A=repmat(-(-20:20).^2/400,31,1)+repmat([-(-15:15).^2/225]',1,41)+2+(rand(31,41)>.95)/5;
mesh(-20:20,-15:15,A) %display the surface
Filter it with a pxp median filter
p=5; p2=floor(p/2); [n,m]=size(A);
B=zeros(n,m); %allocate array for smoothed surface
for i=1+p2:n-p2
for j=1+p2:m-p2
B(i,j)=median(median(A(i-p2:i+p2,j-p2:j+p2)));
end
end
mesh(-20:20,-15:15,B) %display the surface
The edges are zeros in my simple code, because, if the filter gets any closer to the edges, it will extend beyond the bounds of the original array, which would cause an error. You could improve this by adapting the filter as needed, when it gets near the edge.
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Abdullah
Abdullah 2023-3-9
actually this curve is the output of the optimization process in matlab, the optimization does not give accurate points in this area therefore i thought it might be possible to smooth this area somehow in matlab. but thank you anyway for your contribution William

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