Plotting a 3D matrix in matlab (4D data)

If I have a 9*9*9 matrix. Each of which index has a certain value e.g. A[4][3][2]=0.43. This makes it a 4D data. How can I plot this as a 4D data meaning a 3D data with colour for the 4th dimension. P.S. I am a newbie, so please give as elaborate ans as simple an answer as possible.

Answer 1

[John BG]

have a look at the following points:

1.- correction: where you say ' .. A[4][3][2]=0.43. This makes it a 4D data ..'

consider instead saying ' .. this makes it 3D matrix ..'

the reason being that your question takes off with the statement matrix size 9*9*9: this is a 3D cube.

A size 9 units 3D cube has volume 9*9*9.

A size 9 4D cube have 4D volume 9*9*9*9.

2.- the link

https://www.sciencenews.org/article/seeing-four-dimensions

contains a 4D cube visualized in 3D. They sell visualizations of larger than 3D objects

3.- MATLAB CENTRAL has a very interesting example

http://uk.mathworks.com/help/matlab/examples/visualizing-four-dimensional-data.html?s_tid=srchtitle

4.- Another very popular MATLAB CENTRAL entry is Konsoulas 'Paradoxical Behavior of multidimensional data'

http://uk.mathworks.com/matlabcentral/fileexchange/53260-paradoxical-behavior-of-multidimensional-data?s_tid=srchtitle+-

5.- If you are going to find lengths surfaces and volumes in larger than 3D, have a look to Mike Hosea integralN.m

http://www.mathworks.com/matlabcentral/fileexchange/47919-integraln-m/all_files

If you find this answer of any help solving this question, please click on the thumbs-up vote link, thanks in advance

John

[e-mail]

Answer 2

[Walter Roberson]

http://www.mathworks.com/matlabcentral/fileexchange/22940-vol3d-v2

http://www.mathworks.com/matlabcentral/fileexchange/37268-3d-volume-visualization