Making Graph from Delaunay Triangulation
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Hi,
I have made a graph from Delaunay triangulation. But the graph seemed to be aligned differently. Why it is so? If I have to add numbers to nodes of Delaunay how can I do that? Weights for the graph is the euclidean distance between two nodes. Attaching code and figure below.
DT = delaunayTriangulation(pts);
figure(2)
e=DT.edges;
pl=triplot(DT);
% Distances of the edges for weights
plist1 = pts(e(:,1),:);
plist2 = pts(e(:,2),:);
diffs = plist2-plist1;
if diffs<0
diffs=diffs*-1;
end
dists = vecnorm(diffs');
disp(dists);
% create Graph
G = graph(e(:,1), e(:,2), dists);
figure(3)
p = plot(G,'EdgeLabel',G.Edges.Weight);
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Bruno Luong
el 20 de Abr. de 2022
Editada: Bruno Luong
el 20 de Abr. de 2022
The plot of graph the graph is not supposed to respect the distance, only connectivity. Since it 's not always possible to project a graph to 2D screen while preserving the distance (weight). For example a graph the does not respect triangular inequality
G = graph([1 1 2],[2 3 3],[1 1 3]);
plot(G)
or a graph of a regular 3D tetrahedron
G=graph([1 1 1 2 2 3], [2 3 4 3 4 4], [1 1 1 1 1 1])
h=plot(G)
However you can set the coordinates as you like:
set(h,'XData',[sqrt(3)/3,-sqrt(3)/6,-sqrt(3)/6,0]);
set(h,'YData',[0,1/2,-1/2,0]);
set(h,'ZData',[0,0,0,sqrt(6)/3]);
axis equal
In your case it will be coordinates of pts
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