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to poly2tri
Is that possible that poly2tri creates new points for the triangulation, or does it always use the given points only (the points on the contour and holes)?
When using a Contrained Delaunay Triangulation in 2D, the only points in your model will be those of the input polygons. Adding points inside the domain will need a mesher like the one of CGAL. Python and Java bindings are also available.