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
KALYAN ACHARJYA
KALYAN ACHARJYA on 7 Feb 2021
"3d plot binary cubes"
Can you attach any reference image or replication drawing to undestand the question?
What type of the data you have, dimentions and data type?
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

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