How to visualize the function R ^ 3 & # 8594; R in Matlab?

Question

I have a function that assigns a real value to each point in space. How can I visualize it on a limited volume?

Answer 1

To expand Peter's suggestion in the comments ^^:

use scatter3 with cdata parameter cdata :

 % generating some sample data [x,y,z]=sphere(50); x=x(:);y=y(:);z=z(:); % the interesting stuff: h=scatter3(x,y,z); 

gives you

To add coloring, do the following:

 set(h,'cdata',z) 

or immediately:

 scatter3(x,y,z,'cdata',z); 

that leads to

Here the color vector is just the value of z, but it can be anything (as long as it has the same size as x (and y and z).