output of delaunay triangulation

After applying delaunay triangulation how is it possible to calculate area of each triangles found?how to find the vertices of the triangles.HELP us with matlab code. Thank you,

Answer 1

[Naga]

Hello Gurupriya,

Use the code below to calculate the area of each triangle from a Delaunay triangulation:

dt = delaunayTriangulation(X);

triangles = dt.ConnectivityList;

triangleAreas = zeros(size(triangles, 1), 1);

for i = 1:size(triangles, 1)
    tri = triangles(i, :);
    v = X(tri, :);
    triangleAreas(i) = 0.5 * abs(det([v(1,:) 1; v(2,:) 1; v(3,:) 1]));
end

disp('Areas of each triangle:');
disp(triangleAreas);

'ConnectivityList' property returns an array where each row contains the indices of the vertices that form a triangle. Please refer to the below documentation for more information on the same:

https://www.mathworks.com/help/matlab/ref/delaunaytriangulation.html