What sort of a filter/method can be applied to smoothen sharp peaks on a surface?

Question

Jithin S 2019-8-2

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回答： Abdullah 2023-3-8

This is a surface I simulated via coding. The surf plot shows sharp peaks.

I have the data as a matrix Z(101,101).

However, ideally the surface should look smooth as shown in figure below. What sort of a filter can I apply?

The sharp peaks needs to be smoothen so that it can resemble the surface given below.

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Answer 1

David K. 2019-8-2

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In general, if you want to smooth out peaks you want to get rid of the high frequency content, aka a low pass filter. The easiest lpf is a moving average filter. I think this should work for your implementation.

window = 9; % Increase to smooth more, decrease to smooth less
H = ones(window)./(window^2); % Create the window and divide so that it is an average and not just a sum
filteredZ = filter2(H,Z);
surf(filteredZ)

Check out the filter2 documentation to get a better idea on what it is doing. Hope this helps