MATLAB: Is there another way to plot a graph 3D without digraph

digraphNetworkneural networks

Hi everybody, I want to do something using Matlab 2014 that mimic digraph of Matlab 2015.
% let's say we have 3 vectors of x,y,z coordinates of 11 nodes
x = [2 5 6 2 8 4 9 1 6 2 3];
y = [3 1 9 6 7 5 4 2 3 6 8];
z = [2 6 9 6 3 2 4 7 5 8 9];
% we also have the interactions Matrice A between those nodes.
A = [0 1 1 0 0 1 0 1 1 0 0 ; -1 0 -1 0 0 -1 0 0 -1 0 0 ; 1 1 0 0 0 1 0 1 0 1 1 ; 0 0 0 0 -1 -1 0 -1 0 -1 0; -1 -1 -1 0 0 -1 0 -1 -1 0 0 ; -1 -1 0 0 -1 0 0 0 -1 0 0 ; 1 0 1 0 0 1 0 0 0 1 0 ; 0 1 0 1 1 1 0 0 0 1 0 ; 1 1 0 1 0 0 1 1 0 0 1 ; 1 0 1 0 0 0 1 1 0 0 1 ; 0 0 0 -1 0 0 -1 -1 0 -1 0];
% we also have the strength Matrice B, of those interactions.
B = [0 1 7 0 0 3 0 2 6 0 0 ; 5 0 3 0 0 3 0 0 7 0 0 ; 5 1 0 0 0 1 0 2 0 9 7 ; 0 0 0 0 3 7 0 1 0 4 0; 6 5 3 0 0 7 0 3 3 0 0 ; 8 9 0 0 6 0 0 0 9 0 0 ; 9 0 1 0 0 8 0 0 0 9 0 ; 0 1 0 3 6 3 0 0 0 8 0 ; 1 6 0 3 0 0 1 8 0 0 9 ; 8 0 3 0 0 0 6 1 0 0 1 ; 0 0 0 3 0 0 9 5 0 3 0];
% The strength will be perceived on the graph as the intensity of the given color blue or red. 
We may also use dash ------, - - - - - -,  -  -  -  -  -  -, motif to differentiate between 9 to 1, or something else, depending on you, or even write the number dirrectlly on the narrow as it is done in digraph.
% naturally, interactions between a given neuron and itself = 0 if you look very well, 1 = blue narrow, -1 = red narrow. 
% and we have the real distance between 2 node is a kid of curve(same like what we see in 2015)
% the curve length is the cartesien distance + (% 0 to 10 % that cartesien distance)(I have already written the function that do that). To make it easy for you, let s consider only the cartesien distance (strait lines). 
% How can we plot this graph ?

Best Answer

You'd be hard pressed to get all of the features of digraph's plot, but the patch function will let you draw a wireframe with a different color per edge. That would look something like this:
nnodes = length(x);
verts = [x',y',z'];
faces = [];
colors = [];
for i=1:size(A,1)
  for j=1:size(A,2)
    if A(i,j)
      faces(end+1,:) = [i, j, nan];
      colors(end+1) = B(i,j);
    end
  end
end
patch('Faces',faces,'Vertices',verts,'FaceVertexCData',colors', ...
      'EdgeColor','flat','FaceColor','none', ...
      'MarkerFaceColor','none','MarkerEdgeColor','none')
view(3)
colorbar
If you want to use different line widths or patterns, you're going to need to create a different line object for each edge. You'll find that doesn't scale well for the reasons I explained in this blog post .
for i=1:size(A,1)
  for j=1:size(A,2)
    if A(i,j)
      line([x(i) x(j)],[y(i) y(j)],[z(i) z(j)],'LineWidth',B(i,j))
    end
  end
end
view(3)
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