4D plot - representing 3 variables function

4D plotting:

I have 3 independent variables - x(1,n) , y(1,m) , z(1,l) - and I have matrix F(n,m,l) - corespond to every value of [x,y,z].

How can I represent F on a 3D grid?

Maybe with a surface, where F values represented in color?

(something like the picture shown here)

[ErikaZ]

Where you able to find a solution? Would you share the code? I am in the same position.

[zhiyong zhang]

Have you found any solution? I have the same question.

Answer 1

[John BG]

KSSV answer is still a 3D plot only.

You fix constant one of the x y z, replace the constant variable with the 4th variable and then plot for different constant values. Like taking photos.

Some people build a film for the sweep of a 4th variable.

https://uk.mathworks.com/help/matlab/examples/visualizing-four-dimensional-data.html

may be you want to try this one

http://uk.mathworks.com/matlabcentral/fileexchange/764-sliceomatic

This is a Mathworks support team to a similar answer

https://uk.mathworks.com/matlabcentral/newsreader/view_thread/154664

Alternatively you build a custom 4D axis and try to 'see' 4D in 3D than can be messy but sometimes works, there is an explanation here

http://eusebeia.dyndns.org/4d/vis/01-intro

but a cube inside another cube is going to overlap data.

have fun

if you find my answer useful would you please mark it as Accepted Answer by clicking on the ACCEPT ANSWER button?

thanks in advance for time and attention

John BG <mailto:[e-mail] [e-mail]>

Answer 2

[KSSV]

clc; clear
[X,Y,Z] = peaks(100);
C = rand(size(Z)) ;
figure
surf(X,Y,Z,C);
colorbar
shading interp

[Neel Kanwal]

How to add function in this code. It looks independent of function.