diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Isotropic_remeshing/remesh_impl.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Isotropic_remeshing/remesh_impl.h
index 68a271cea24..6d6c5dfd3ec 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Isotropic_remeshing/remesh_impl.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Isotropic_remeshing/remesh_impl.h
@@ -1436,6 +1436,9 @@ private:
 
     bool is_corner(const vertex_descriptor& v) const
     {
+      if(! has_border_){
+        return false;
+      }
       unsigned int nb_incident_features = 0;
       BOOST_FOREACH(halfedge_descriptor h, halfedges_around_target(v, mesh_))
       {