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The class Non_manifold_tag is a tag class used to monitor the surface meshing algorithm. When instantiated with the tag Non_manifold_tag the function template make_surface_mesh does not ensure that the output mesh is a manifold surface. The manifold property of output mesh may nevertheless result from the choice of appropriate meshing criteria.
#include <CGAL/make_surface_mesh.h>
make_surface_mesh
Manifold_tag
Manifold_with_boundary_tag