Converting TriRep to DelaunayTri while using pointLocation?

hi, I have a TriRep object with triangulations and I want to use pointLocation on the object to find whether the points are inside the triangles. But the pointLocation is a method defined for DelaunayTri class which is a subclass of TriRep. So I would like to ask if TriRep object can be converted to DelaunayTri to be used in pointLocation?

Answer 1

[Divyam]

Hi @Arpan,

The "DelaunayTri " object can be created using the extracted points from the "TriRep" object. As of MATLAB R2024b, "DelaunayTri " class is not recommended for usage and it's preferable to use the "delaunayTriangulation" class instead.

% Assume T is your TriRep object
T = TriRep([1, 2, 3; 1, 3, 4], [0, 0; 1, 0; 0, 1; 1, 1]);

% Extract the points
points = T.X;

% Create a DelaunayTri object
delaunayTriObj = DelaunayTri(points);

% Define points to check
P = [0.5, 0.5; 0.75, 0.75; 0.25, 0.25];

% Use pointLocation to find the triangles containing the points
triangleIndices = pointLocation(delaunayTriObj, P);

% Display the results
fprintf('Triangle indices for the query points: [%s]\n', join(string(triangleIndices),','));

Triangle indices for the query points: [2,2,1]

For more information regarding the "delaunayTriangulation" class, refer to the following documentation: https://www.mathworks.com/help/matlab/ref/delaunaytriangulation.html