Plot 4D matrix

Hey all, I am trying to plot this matrix... any ideas how to do this???

x1=linspace(8000,12000,10);  % vEa

z1=linspace(0.15,0.25,10);   % vva

y1=linspace(1000,3000,10);   % vEc

c1=linspace(0.15,0.25,10);   % vvc

[X1,Y1,Z1]=meshgrid(x1, y1, z1);

for i=1:length(x1)

      for j=1:length(y1)

          for k=1:length(z1)

              for l=1:length(c1)

                  f(i,j,k,l)= this is some Cost function which depends on this x1,y1,z1,c1 !!!

              end

          end

      end

end

Answer 1

[Walter Roberson]

Your

[X1,Y1,Z1]=meshgrid(x1, y1, z1);

is not being used. If you could vectorize your cost function you would need to use

[X1,Y1,Z1,C1] = ndgrid(x1, y1, z1, c1);

Anyhow...

With 4 input dimensions and 1 result, you are dealing with plotting 5 dimensional points. There is no good way of doing that.

About the closest you can get is to scatter3() on 3 of the dimensions, with 1 of the dimensions used for point size and the remaining dimension used for color. In order for that to show up, you will need to use f as one of the spatial coordinates, such as

X1v = X1(:);
Y1v = Y1(:);
Z1v = Z1(:);
C1v = C1(:);
fv = f(:);
scatter3(fv, Y1v, Z1v, X1v, C1v)

it probably will not look all that good.

[emko]

Thank you :D

[emko]

Can be same done with slice, and how?

[Walter Roberson]

No, slice() is for extracting data from 3D arrays, not from 4D arrays.