diff --git a/Linear_cell_complex/benchmark/Linear_cell_complex_2/openmesh_performance.h b/Linear_cell_complex/benchmark/Linear_cell_complex_2/openmesh_performance.h
index 71ff72ea813..afdb700c75b 100644
--- a/Linear_cell_complex/benchmark/Linear_cell_complex_2/openmesh_performance.h
+++ b/Linear_cell_complex/benchmark/Linear_cell_complex_2/openmesh_performance.h
@@ -22,19 +22,10 @@ public:
     mesh.request_face_normals();
   }
 
-
 private:
-
-  struct MyTraits : public OpenMesh::DefaultTraits
-  {
-    typedef OpenMesh::Vec3d Point;
-    typedef OpenMesh::Vec3d Normal;
-  };
-
-  typedef OpenMesh::TriMesh_ArrayKernelT<MyTraits> Mesh;
+  typedef OpenMesh::TriMesh_ArrayKernelT<OpenMesh::DefaultTraitsDouble> Mesh;
   Mesh mesh;
 
-
 private:
   void display_info()
   {
diff --git a/Surface_mesh_deformation/test/Surface_mesh_deformation/Cactus_deformation_session_OpenMesh.cpp b/Surface_mesh_deformation/test/Surface_mesh_deformation/Cactus_deformation_session_OpenMesh.cpp
index fe1aded57c0..06817a78b71 100644
--- a/Surface_mesh_deformation/test/Surface_mesh_deformation/Cactus_deformation_session_OpenMesh.cpp
+++ b/Surface_mesh_deformation/test/Surface_mesh_deformation/Cactus_deformation_session_OpenMesh.cpp
@@ -13,17 +13,10 @@
 
 #include <CGAL/Timer.h>
 
-struct DoubleTraits : public OpenMesh::DefaultTraits
-{
-  typedef OpenMesh::Vec3d Point;
-  typedef OpenMesh::Vec3d Normal;
-};
-
-
-typedef OpenMesh::PolyMesh_ArrayKernelT<DoubleTraits>               Mesh;
-typedef Mesh::Point                                                 Point;
-typedef boost::graph_traits<Mesh>::vertex_descriptor    vertex_descriptor;
-typedef boost::graph_traits<Mesh>::vertex_iterator        vertex_iterator;
+typedef OpenMesh::PolyMesh_ArrayKernelT<OpenMesh::DefaultTraitsDouble> Mesh;
+typedef Mesh::Point                                                    Point;
+typedef boost::graph_traits<Mesh>::vertex_descriptor                   vertex_descriptor;
+typedef boost::graph_traits<Mesh>::vertex_iterator                     vertex_iterator;
 
 typedef CGAL::Surface_mesh_deformation<Mesh, CGAL::Default, CGAL::Default, CGAL::ORIGINAL_ARAP>  Deform_mesh_arap;
 typedef CGAL::Surface_mesh_deformation<Mesh, CGAL::Default, CGAL::Default, CGAL::SPOKES_AND_RIMS> Deform_mesh_spoke;