How to do Delaunay Triangulation and return an adjacency matrix?

I want to get back Adjacency Matrix from Delaunay Triangulised object...How to do .....

Answer 1

[Christine Tobler]

If your goal in computing the adjacency matrix is to construct a graph object, you can also do that (a bit) more directly:

 % Construct tri as in Akira's code above
 g = digraph(tri, tri(:, [2 3 1]));
 A = adjacency(g);
 A = A | A';
 g = graph(A);
 plot(g)

Answer 2

[Akira Agata]

By using the output variable of delaunay function, you can create adjacency matrix like:

% N: Number of points
N = 8;
x = rand(N,1);
y = rand(N,1);

% Delaunay triangulation
tri = delaunay(x,y);

% Calculate adjacency matrix
AdjMat = false(N);
for kk = 1:size(tri,1)
  AdjMat(tri(kk,1), tri(kk,2)) = true;
  AdjMat(tri(kk,2), tri(kk,3)) = true;
  AdjMat(tri(kk,3), tri(kk,1)) = true;
end
AdjMat = AdjMat | AdjMat';