How can I display a 3D image of a 10x10x10 matrix? Each cube has a value between 1-10.

I have a 2D matrix s(10,10). So, there are 100 squares. Each square has a value between 1-10. So, I can display the matrix with imagesc(s) function. The image is like the following. s represents the bottom right. The squares in the below picture have values between 1 or 2

Now I want to extend the matrix to 3D, which is s(10,10,10) and has 1000 cubes , each having a value between 1-10. How can I display it like the following image with each cube colored by their respective values?

Answer 1

[Bjorn Gustavsson]

You should be able to generate a figure like the cube you show by utilizing the slice-function. Something like this:

% Mocking up some 10x10x10 data
s10by10by10 = round(convn(10*rand(10,10,10),ones(2,2,2)/8,'same'));
% displaying with slice
slice(s10by10by10([1:end,end],[1:end,end],[1:end,end]),[1 11],[1 11],[1,11])

You might have to play around with the colour-map to get a nice display:

colorbar
cmp = jet(10);                        
colormap(cmp(randperm(size(cmp,1)),:)) % To get increased contrast between regions with similar values

HTH

[MD MAHABUBUR ROHOMAN]

@Bjorn Gustavsson Thank you so much! This produces exactly what I need as of now.

Great help!

[MD MAHABUBUR ROHOMAN]

@Bjorn Gustavsson Do you by any chance know how I can stack every row as a single column vector?

[Bjorn Gustavsson]

Good that the solution did what you needed.

To do that you should be able to use some combination of reshape and permute. Exactly what you want is not entirely clear to me, but if you want something like a 100-by-10 or 10-by-100 array with the elements in your 10-by-10-by-10 array in some order these should be enough. Unfortunately for you I do these tasks to seldom to remember exactly what the ordering should be (and the variants I do often I black-boxed up too long time ago).

[MD MAHABUBUR ROHOMAN]

Thank you so much for your suggestions. I finally got what I needed.

You are awesome!

[Bjorn Gustavsson]

Happy that it helped.

[MD MAHABUBUR ROHOMAN]

Hello!

If I have a matrix of 5x5x5, I should only change the [1 11] to [1 6] in the slice command?

[Bjorn Gustavsson]

@MD MAHABUBUR ROHOMAN, yes, that might work. Just try, and read the help and documentation of slice to see what other modifications you might be interested in.