Smoothing 3D Matrix in z-direction

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Eunan McShane
Eunan McShane 2020-4-2
回答： Markus 2023-10-25
Hey guys, I've been trying to find a solution for smoothing a 3D (512x101x1200) matrix in the z direction, but was unsure how to proceed
I have conventional used 2D data sets for this kind of smoothing (arbritarily I use something like a 5point smoothing) but I am having trouble adapting this now to the third dimension
So ideally I would proccess the matrix by smoothing it in the z-direction, if anyone can help me with this it would be greatly appreicated. Apologies I can't attach my actual data as it is too large but any 3D matrix is sufficient!
Thank you!
  2 个评论
Rik
Rik 2020-4-2
Have you considered convolutions? They are generally relatively easy to extend to higher dimensions once you have them working in lower dimensions. That is the reason my region growing function supports dimensions higher than 3, even if I don't think anyone will ever use that.
Eunan McShane
Eunan McShane 2020-4-2
Hey, thanks for getting in touch. I hadn't before now, are you suggesting that by using your function I can convolve a series of neigbouring points into one?

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回答（2 个）

Ameer Hamza
Ameer Hamza 2020-4-2
See convn(): https://www.mathworks.com/help/matlab/ref/convn.html. You can directly do 3D convolution.
Markus
Markus 2023-10-25
Hi,
this works, but it's a slow solution:
Assuming you have a matrix called 'data' that is (512x101x1200)
for x = 1:512
for y = 1:101
smooth(data(x,y,:))
end
end
For more details to adjust the span e.g. see: https://www.mathworks.com/help/curvefit/smooth.html#mw_62e54d1e-a0d3-4ccb-9dd8-142962c488b3
It's a nested for loop so it's not very fast. If you concatenated all z columns their beginnings and ends get smoothed together, hence you need to smooth them one by one.

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