Hi Shahar,
To improve the visualization of a 3D network model in MATLAB and give the edges some volume, you can use cylinders to represent the edges instead of simple lines. This approach can enhance depth perception and make the 3D structure more apparent.
The below code snippet demonstrates how can this be achieved:
% Define the edges and node coordinates
edges1 = [1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,6,6,6,6,6,7,8,8,8,8,10,11,11,11];
edges2 = [2,3,4,3,4,5,6,7,8,9,4,5,6,10,11,12,7,8,10,11,13,6,8,9,11,12,14,8,9,11,13,14,11,12,13,14];
x = [0,0,0.5,0.5,0,0.5,0,0.5,0,1,1,1,1,1];
y = [0,0.5,0,0.5,0,0.5,1,1,1,0,0.5,0,1,1];
z = [0,0.5,0.5,0,1,1,0,0.5,1,0,0.5,1,0,1];
% Create the graph
G = graph(edges1, edges2);
% Plot the nodes
figure;
scatter3(x, y, z, 100, 'filled', 'MarkerFaceColor', 'b');
hold on;
% Plot the edges with volume
numEdges = numedges(G);
for i = 1:numEdges
% Get the start and end points of each edge
startNode = edges1(i);
endNode = edges2(i);
% Get coordinates for the start and end nodes
xStart = x(startNode);
yStart = y(startNode);
zStart = z(startNode);
xEnd = x(endNode);
yEnd = y(endNode);
zEnd = z(endNode);
% Create a cylinder between the nodes
[X, Y, Z] = cylinder(0.02, 8); % Adjust radius for thickness
Z = Z * sqrt((xEnd - xStart)^2 + (yEnd - yStart)^2 + (zEnd - zStart)^2);
% Rotate and translate the cylinder to the correct position
[theta, phi, r] = cart2sph(xEnd - xStart, yEnd - yStart, zEnd - zStart);
R = makehgtform('axisrotate', [0 -1 0], phi, 'axisrotate', [0 0 1], theta);
for j = 1:numel(X)
pt = R * [X(j); Y(j); Z(j); 1];
X(j) = pt(1);
Y(j) = pt(2);
Z(j) = pt(3);
end
surf(X + xStart, Y + yStart, Z + zStart, 'FaceColor', 'r', 'EdgeColor', 'none');
end
axis equal;
grid on;
xlabel('X');
ylabel('Y');
zlabel('Z');
title('3D Network Model with Volume on Edges');
hold off;
For more details, please refer to the following MathWorks documentation:
- Scatter - https://www.mathworks.com/help/matlab/ref/scatter.html
- Cylinder - https://www.mathworks.com/help/matlab/ref/cylinder.html
- makehgtform - https://www.mathworks.com/help/matlab/ref/makehgtform.html
- To enhance the view, you may use camlight - https://www.mathworks.com/help/matlab/ref/camlight.html
Hope this helps!
