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Trying to 3d plot binary cubes

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Hi all,
I'm trying to generate a 32x32x32 image but I cannot manage to visualize it.
I'm using matlab R2020b with the image processing toolbox, and I want to place cubes at 32x32x32 indices with a value of either 1 or 0.
Below you can see the example in 2D, first the random gaussian noise is generated in a 32x32 grid, then filtered and cut-off.
The code I have to generate this is very straight-forward but visualizing seems to be the difficult part as this has to be a 4D plot, where 3 dimensions are simply indices and the 4th is the binary value (or greyscale). Can anyone help me plot this? I have tried things like surf, plot3, scatter3, but I couldn't get any of them to work.
I can validate that the correct data is there through montage(BW) but this gives me slices rather than a 3D image.
%%
sigma = 2;
vertice = 32;
level = 0.5;
image = rand(vertice,vertice,vertice);
filtered = imgaussfilt3(image,sigma);
BW = imbinarize(filtered,level);
montage(BW)
  2 Comments
Simon Penninag
Simon Penninag on 7 Feb 2021
Hi Kalyan,
there are images on the original post, i hope you can see them. The data is generated in the code that is shown (its just random 32x32x32 doubles of noise). All im trying to produce is a 3D plot of this 32x32x32 cube of random noise.
A reference image:

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Accepted Answer

Kiran Felix Robert
Kiran Felix Robert on 9 Feb 2021
Edited: Kiran Felix Robert on 9 Feb 2021
Hi Simon,
Use the slice command and specify the slice position as vector argument.
The following is an example,
colormap gray
sigma = 2;
vertice = 32;
level = 0.5;
image = rand(vertice,vertice,vertice);
filtered = imgaussfilt3(image,sigma);
BW = double(imbinarize(filtered,level)); % Convert to double
slice(BW,1:32,1:32,1:32) % 3D Plot for 32x32x32 image
  1 Comment
Simon Penninag
Simon Penninag on 9 Feb 2021
Thanks, this is exactly what I was after!

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