diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
index 9777d6bd223..2db39e5197b 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
@@ -27,37 +27,199 @@
 namespace CGAL{
 
 namespace Polygon_mesh_processing{
-///\cond SKIP_IN_MANUAL
 
-  template <typename PolygonMesh, typename VertexNormalMap, typename FaceNormalMap>
-void
-compute_normals(const PolygonMesh& pmesh,
-                VertexNormalMap vnm,
-                FaceNormalMap fnm)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_normals(pmesh, vnm, fnm, get(vertex_point, pmesh), Kernel());
+/**
+* \ingroup PkgPolygonMeshProcessing
+* computes the outward unit vector normal to face `f`.
+* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
+* @tparam PolygonMesh a model of `FaceGraph`
+*
+* @param f the face on which the normal is computed
+* @param pmesh the polygon mesh to which `f` belongs
+*/
+template <typename PolygonMesh
+          , typename VertexPointMap
+#ifdef DOXYGEN_RUNNING
+          = typename boost::property_map<PolygonMesh, CGAL::vertex_point_t>::type
+#endif
+          , typename Kernel
+#ifdef DOXYGEN_RUNNING
+          = typename Kernel_traits<
+              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
+#endif
+          >
+typename Kernel::Vector_3
+compute_face_normal(typename boost::graph_traits<PolygonMesh>::face_descriptor f,
+                     const PolygonMesh& pmesh
+                     , VertexPointMap vpmap
+#ifdef DOXYGEN_RUNNING
+                     = get(vertex_point_t, pmesh)
+#endif
+                     , const Kernel&
+#ifdef DOXYGEN_RUNNING
+                     k = Kernel()
+#endif
+                     )
+{
+  typedef typename Kernel::Point_3 Point;
+  typedef typename Kernel::Vector_3 Vector;
+
+  Vector normal = CGAL::NULL_VECTOR;
+  typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor halfedge_descriptor;
+  halfedge_descriptor he = halfedge(f, pmesh);
+  halfedge_descriptor end = he;
+  do
+  {
+    const Point& prv = vpmap[target(prev(he, pmesh), pmesh)];
+    const Point& curr = vpmap[target(he, pmesh)];
+    const Point& nxt = vpmap[target(next(he, pmesh), pmesh)];
+    Vector n = CGAL::cross_product(nxt - curr, prv - curr);
+    normal = normal + n;
+
+    he = next(he, pmesh);
+  } while (he != end);
+
+  return normal / std::sqrt(normal * normal);
 }
 
+/**
+* \ingroup PkgPolygonMeshProcessing
+* computes the outward unit vector normal for all faces of the polygon mesh.
+* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
+* @tparam PolygonMesh a model of `FaceGraph`
+* @tparam FaceNormalMap the property map in which the normals are written.
+* @tparam VertexPointMap the property map with the points associated to the vertices.
+*
 
-template <typename PolygonMesh, typename VertexNormalMap, typename FaceNormalMap, typename VertexPointMap>
+* @param pmesh the polygon mesh
+*/
+template <typename PolygonMesh
+          , typename FaceNormalMap
+          , typename VertexPointMap
+#ifdef DOXYGEN_RUNNING
+          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
+#endif
+          , typename Kernel
+#ifdef DOXYGEN_RUNNING
+          = typename Kernel_traits<
+              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
+#endif
+          >
 void
-compute_normals(const PolygonMesh& pmesh,
-                VertexNormalMap vnm,
-                FaceNormalMap fnm,
-                VertexPointMap vpmap)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_normals(pmesh, vnm, fnm, vpmap, Kernel());
+compute_face_normals(const PolygonMesh& pmesh
+                      , FaceNormalMap fnm
+                      , VertexPointMap vpmap
+#ifdef DOXYGEN_RUNNING
+                      = get(vertex_point, pmesh)
+#endif
+                      ,const Kernel& k
+#ifdef DOXYGEN_RUNNING
+                      = Kernel()
+#endif
+                      )
+{
+  typename boost::graph_traits<PolygonMesh>::face_descriptor f;
+  BOOST_FOREACH(f, faces(pmesh)){
+    typename Kernel::Vector_3 vec = compute_face_normal(f,pmesh, vpmap, k);
+    put(fnm, f, vec);
+  }
+}
+
+/**
+* \ingroup PkgPolygonMeshProcessing
+* computes the unit normal at vertex `v` as the average of the normals of incident faces.
+* @tparam Kernel a %CGAL `Kernel` with `FT` a model of `FieldWithSqrt`
+* @tparam PolygonMesh a model of `FaceGraph`
+*
+* @param v the vertex around which the normal is computed
+* @param pmesh the polygon mesh to which `v` belongs
+*/
+template<typename PolygonMesh
+          , typename VertexPointMap
+#ifdef DOXYGEN_RUNNING
+          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
+#endif
+         , typename Kernel
+#ifdef DOXYGEN_RUNNING
+         = typename Kernel_traits<
+             typename boost::property_traits<VertexPointMap>::value_type>::Kernel
+#endif
+         >
+typename Kernel::Vector_3
+compute_vertex_normal(typename boost::graph_traits<PolygonMesh>::vertex_descriptor v,
+                      const PolygonMesh& pmesh,
+                      VertexPointMap vpmap
+#ifdef DOXYGEN_RUNNING
+                      = get(vertex_point_t, pmesh)
+#endif
+                      , const Kernel& k
+#ifdef DOXYGEN_RUNNING
+                      = Kernel()
+#endif
+                      )
+{
+  typedef typename Kernel::Vector_3 Vector;
+  typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor halfedge_descriptor;
+
+  Vector normal = CGAL::NULL_VECTOR;
+  halfedge_descriptor he = halfedge(v, pmesh);
+  halfedge_descriptor end = he;
+  do
+    {
+    if (!is_border(he, pmesh))
+    {
+      Vector n = compute_face_normal(face(he, pmesh), pmesh, vpmap, k);
+      normal = normal + (n / std::sqrt(n*n));
+    }
+    he = opposite(next(he, pmesh), pmesh);
+  } while (he != end);
+
+  return normal / std::sqrt(normal * normal);
+}
+
+/**
+* \ingroup PkgPolygonMeshProcessing
+* computes the outward unit vector normal for all vertices of the polygon mesh.
+* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
+* @tparam PolygonMesh a model of `FaceGraph`
+* @tparam VertexNormalMap the property map in which the normals are written.
+* @tparam VertexPointMap the property map with the points associated to the vertices.
+*
+* @param f the face on which the normal is computed
+* @param pmesh the polygon mesh
+*/
+template <typename PolygonMesh
+          , typename VertexNormalMap
+          , typename VertexPointMap
+#ifdef DOXYGEN_RUNNING
+          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
+#endif
+          , typename Kernel
+#ifdef DOXYGEN_RUNNING
+          = typename Kernel_traits<
+              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
+#endif
+          >
+void
+compute_vertex_normals(const PolygonMesh& pmesh
+                      , VertexNormalMap vnm
+                      , VertexPointMap vpmap
+#ifdef DOXYGEN_RUNNING
+                      = get(vertex_point, pmesh)
+#endif
+                      ,const Kernel& k
+#ifdef DOXYGEN_RUNNING
+                      = Kernel()
+#endif
+                      )
+{
+  typename boost::graph_traits<PolygonMesh>::vertex_descriptor v;
+  BOOST_FOREACH(v, vertices(pmesh)){
+    typename Kernel::Vector_3 vec = compute_vertex_normal(v,pmesh, vpmap, k);
+    put(vnm, v, vec);
+  }
 }
 
-///\endcond
 /**
 * \ingroup PkgPolygonMeshProcessing
 * computes the outward unit vector normal for all vertices and faces of the polygon mesh.
@@ -109,245 +271,9 @@ compute_normals(const PolygonMesh& pmesh
 }
 
 
-
 ///\cond SKIP_IN_MANUAL
 
-template <typename PolygonMesh, typename VertexNormalMap>
-void
-compute_vertex_normals(const PolygonMesh& pmesh,
-                      VertexNormalMap vnm)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_vertex_normals(pmesh, vnm, get(vertex_point, pmesh), Kernel());
-}
-
-
-template <typename PolygonMesh, typename VertexNormalMap, typename VertexPointMap>
-void
-compute_vertex_normals(const PolygonMesh& pmesh,
-                      VertexNormalMap vnm,
-                      VertexPointMap vpmap)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_vertex_normals(pmesh, vnm, vpmap, Kernel());
-}
-
-///\endcond
-/**
-* \ingroup PkgPolygonMeshProcessing
-* computes the outward unit vector normal for all vertices of the polygon mesh.
-* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
-* @tparam PolygonMesh a model of `FaceGraph`
-* @tparam VertexNormalMap the property map in which the normals are written.
-* @tparam VertexPointMap the property map with the points associated to the vertices.
-*
-* @param f the face on which the normal is computed
-* @param pmesh the polygon mesh
-*/
-template <typename PolygonMesh
-          , typename VertexNormalMap
-          , typename VertexPointMap
-#ifdef DOXYGEN_RUNNING
-          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
-#endif
-          , typename Kernel
-#ifdef DOXYGEN_RUNNING
-          = typename Kernel_traits<
-              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
-#endif
-          >
-void
-compute_vertex_normals(const PolygonMesh& pmesh
-                      , VertexNormalMap vnm
-                      , VertexPointMap vpmap
-#ifdef DOXYGEN_RUNNING
-                      = get(vertex_point, pmesh)
-#endif
-                      ,const Kernel& k
-#ifdef DOXYGEN_RUNNING
-                      = Kernel()
-#endif
-                      )
-{
-  typename boost::graph_traits<PolygonMesh>::vertex_descriptor v;
-  BOOST_FOREACH(v, vertices(pmesh)){
-    typename Kernel::Vector_3 vec = compute_vertex_normal(v,pmesh, vpmap, k);
-    put(vnm, v, vec);
-  }
-}
-
-///\cond SKIP_IN_MANUAL
-
-template <typename PolygonMesh, typename FaceNormalMap>
-void
-compute_face_normals(const PolygonMesh& pmesh,
-                      FaceNormalMap fnm)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_face_normals(pmesh, fnm, get(vertex_point, pmesh), Kernel());
-}
-
-
-template <typename PolygonMesh, typename FaceNormalMap, typename VertexPointMap>
-void
-compute_face_normals(const PolygonMesh& pmesh,
-                      FaceNormalMap fnm,
-                      VertexPointMap vpmap)
-{  
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  compute_face_normals(pmesh, fnm, vpmap, Kernel());
-}
-
-///\endcond
-
-/**
-* \ingroup PkgPolygonMeshProcessing
-* computes the outward unit vector normal for all faces of the polygon mesh.
-* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
-* @tparam PolygonMesh a model of `FaceGraph`
-* @tparam FaceNormalMap the property map in which the normals are written.
-* @tparam VertexPointMap the property map with the points associated to the vertices.
-*
-
-* @param pmesh the polygon mesh
-*/
-template <typename PolygonMesh
-          , typename FaceNormalMap
-          , typename VertexPointMap
-#ifdef DOXYGEN_RUNNING
-          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
-#endif
-          , typename Kernel
-#ifdef DOXYGEN_RUNNING
-          = typename Kernel_traits<
-              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
-#endif
-          >
-void
-compute_face_normals(const PolygonMesh& pmesh
-                      , FaceNormalMap fnm
-                      , VertexPointMap vpmap
-#ifdef DOXYGEN_RUNNING
-                      = get(vertex_point, pmesh)
-#endif
-                      ,const Kernel& k
-#ifdef DOXYGEN_RUNNING
-                      = Kernel()
-#endif
-                      )
-{
-  typename boost::graph_traits<PolygonMesh>::face_descriptor f;
-  BOOST_FOREACH(f, faces(pmesh)){
-    typename Kernel::Vector_3 vec = compute_face_normal(f,pmesh, vpmap, k);
-    put(fnm, f, vec);
-  }
-}
-
-
-///\cond SKIP_IN_MANUAL
-
-template <typename PolygonMesh>
-typename Kernel_traits<
-  typename boost::property_traits<
-    typename boost::property_map<
-      PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel::Vector_3
-compute_face_normal(
-  typename boost::graph_traits<PolygonMesh>::face_descriptor f,
-  const PolygonMesh& pmesh)
-{
-  typedef typename Kernel_traits<
-    typename boost::property_traits<
-      typename boost::property_map<
-        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
-  return compute_face_normal(f, pmesh, get(vertex_point, pmesh), Kernel());
-}
- 
-
-
-template <typename PolygonMesh, typename VertexPointMap>
-typename Kernel_traits<
-  typename boost::property_traits<VertexPointMap>::value_type>::Kernel::Vector_3
-compute_face_normal(
-  typename boost::graph_traits<PolygonMesh>::face_descriptor f,
-  const PolygonMesh& pmesh,
-  VertexPointMap vpmap)
-{
-  typedef typename Kernel_traits<
-    typename boost::property_traits<VertexPointMap>::value_type>::Kernel Kernel;
-  return compute_face_normal(f, pmesh, vpmap, Kernel());
-}
- 
-/// \endcond 
-
-
-/**
-* \ingroup PkgPolygonMeshProcessing
-* computes the outward unit vector normal to face `f`.
-* @tparam Kernel Geometric traits class. It can be omitted and deduced automatically from the point type of `PolygonMesh`.
-* @tparam PolygonMesh a model of `FaceGraph`
-*
-* @param f the face on which the normal is computed
-* @param pmesh the polygon mesh to which `f` belongs
-*/
-template <typename PolygonMesh
-          , typename VertexPointMap
-#ifdef DOXYGEN_RUNNING
-          = typename boost::property_map<PolygonMesh, CGAL::vertex_point_t>::type
-#endif
-          , typename Kernel
-#ifdef DOXYGEN_RUNNING
-          = typename Kernel_traits<
-              typename boost::property_traits<VertexPointMap>::value_type>::Kernel
-#endif
-          >
-typename Kernel::Vector_3
-compute_face_normal(typename boost::graph_traits<PolygonMesh>::face_descriptor f,
-                     const PolygonMesh& pmesh
-                     , VertexPointMap vpmap 
-#ifdef DOXYGEN_RUNNING
-                     = get(vertex_point_t, pmesh)
-#endif
-                     , const Kernel& k
-#ifdef DOXYGEN_RUNNING 
-                     = Kernel()
-#endif
-                     )
-{
-  typedef typename Kernel::Point_3 Point;
-  typedef typename Kernel::Vector_3 Vector;
-
-  Vector normal = CGAL::NULL_VECTOR;
-  typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor halfedge_descriptor;
-  halfedge_descriptor he = halfedge(f, pmesh);
-  halfedge_descriptor end = he;
-  do
-  {
-    const Point& prv = vpmap[target(prev(he, pmesh), pmesh)];
-    const Point& curr = vpmap[target(he, pmesh)];
-    const Point& nxt = vpmap[target(next(he, pmesh), pmesh)];
-    Vector n = CGAL::cross_product(nxt - curr, prv - curr);
-    normal = normal + n;
-
-    he = next(he, pmesh);
-  } while (he != end);
-
-  return normal / std::sqrt(normal * normal);
-}
-
-///\cond SKIP_IN_MANUAL  
-
+// compute_vertex_normal overloads
 template <typename PolygonMesh>
 typename Kernel_traits<
   typename boost::property_traits<
@@ -363,8 +289,32 @@ compute_vertex_normal(
         PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
   return compute_vertex_normal(v, pmesh, get(vertex_point, pmesh), Kernel());
 }
- 
 
+// compute_vertex_normals overloads
+template <typename PolygonMesh, typename VertexNormalMap>
+void
+compute_vertex_normals(const PolygonMesh& pmesh,
+                      VertexNormalMap vnm)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_vertex_normals(pmesh, vnm, get(vertex_point, pmesh), Kernel());
+}
+
+template <typename PolygonMesh, typename VertexNormalMap, typename VertexPointMap>
+void
+compute_vertex_normals(const PolygonMesh& pmesh,
+                      VertexNormalMap vnm,
+                      VertexPointMap vpmap)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_vertex_normals(pmesh, vnm, vpmap, Kernel());
+}
 
 template <typename PolygonMesh, typename VertexPointMap>
 typename Kernel_traits<
@@ -377,66 +327,98 @@ compute_vertex_normal(
   VertexPointMap vpmap)
 { typedef typename Kernel_traits<
     typename boost::property_traits<VertexPointMap>::value_type>::Kernel Kernel;
-  return compute_vertex_normal(v, pmesh, vpmap, Kernel);
+  return compute_vertex_normal(v, pmesh, vpmap, Kernel());
 }
-  
-/// \endcond 
 
-
-
-/**
-* \ingroup PkgPolygonMeshProcessing
-* computes the unit normal at vertex `v` as the average of the normals of incident faces.
-* @tparam Kernel a %CGAL `Kernel` with `FT` a model of `FieldWithSqrt`
-* @tparam PolygonMesh a model of `FaceGraph`
-*
-* @param v the vertex around which the normal is computed
-* @param pmesh the polygon mesh to which `v` belongs
-*/
-template<typename PolygonMesh
-          , typename VertexPointMap
-#ifdef DOXYGEN_RUNNING
-          = typename boost::property_map<PolygonMesh, vertex_point_t>::type
-#endif
-         , typename Kernel
-#ifdef DOXYGEN_RUNNING
-         = typename Kernel_traits<
-             typename boost::property_traits<VertexPointMap>::value_type>::Kernel
-#endif
-         >
-typename Kernel::Vector_3
-compute_vertex_normal(typename boost::graph_traits<PolygonMesh>::vertex_descriptor v,
-                      const PolygonMesh& pmesh,
-                      VertexPointMap vpmap 
-#ifdef DOXYGEN_RUNNING
-                      = get(vertex_point_t, pmesh)
-#endif
-                      , const Kernel& k
-#ifdef DOXYGEN_RUNNING 
-                      = Kernel()
-#endif
-                      )
+// compute_face_normal overloads
+template <typename PolygonMesh>
+typename Kernel_traits<
+  typename boost::property_traits<
+    typename boost::property_map<
+      PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel::Vector_3
+compute_face_normal(
+  typename boost::graph_traits<PolygonMesh>::face_descriptor f,
+  const PolygonMesh& pmesh)
 {
-  typedef typename Kernel::Vector_3 Vector;
-  typedef typename boost::graph_traits<PolygonMesh>::halfedge_descriptor halfedge_descriptor;
-
-  Vector normal = CGAL::NULL_VECTOR;
-  halfedge_descriptor he = halfedge(v, pmesh);
-  halfedge_descriptor end = he;
-  do
-    {
-    if (!is_border(he, pmesh))
-    {
-      Vector n = compute_face_normal(face(he, pmesh), pmesh, vpmap, k);
-      normal = normal + (n / std::sqrt(n*n));
-    }
-    he = opposite(next(he, pmesh), pmesh);
-  } while (he != end);
-
-  return normal / std::sqrt(normal * normal);
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  return compute_face_normal(f, pmesh, get(vertex_point, pmesh), Kernel());
 }
 
-} 
+template <typename PolygonMesh, typename VertexPointMap>
+typename Kernel_traits<
+  typename boost::property_traits<VertexPointMap>::value_type>::Kernel::Vector_3
+compute_face_normal(
+  typename boost::graph_traits<PolygonMesh>::face_descriptor f,
+  const PolygonMesh& pmesh,
+  VertexPointMap vpmap)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<VertexPointMap>::value_type>::Kernel Kernel;
+  return compute_face_normal(f, pmesh, vpmap, Kernel());
+}
+
+// compute_face_normals overloads
+template <typename PolygonMesh, typename FaceNormalMap>
+void
+compute_face_normals(const PolygonMesh& pmesh,
+                      FaceNormalMap fnm)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_face_normals(pmesh, fnm, get(vertex_point, pmesh), Kernel());
+}
+
+
+template <typename PolygonMesh, typename FaceNormalMap, typename VertexPointMap>
+void
+compute_face_normals(const PolygonMesh& pmesh,
+                      FaceNormalMap fnm,
+                      VertexPointMap vpmap)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_face_normals(pmesh, fnm, vpmap, Kernel());
+}
+
+// compute_normals overloads
+template <typename PolygonMesh, typename VertexNormalMap, typename FaceNormalMap>
+void
+compute_normals(const PolygonMesh& pmesh,
+                VertexNormalMap vnm,
+                FaceNormalMap fnm)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_normals(pmesh, vnm, fnm, get(vertex_point, pmesh), Kernel());
+}
+
+
+template <typename PolygonMesh, typename VertexNormalMap, typename FaceNormalMap, typename VertexPointMap>
+void
+compute_normals(const PolygonMesh& pmesh,
+                VertexNormalMap vnm,
+                FaceNormalMap fnm,
+                VertexPointMap vpmap)
+{
+  typedef typename Kernel_traits<
+    typename boost::property_traits<
+      typename boost::property_map<
+        PolygonMesh, CGAL::vertex_point_t>::type>::value_type>::Kernel Kernel;
+  compute_normals(pmesh, vnm, fnm, vpmap, Kernel());
+}
+
+/// \endcond
+
+}
 
 } // end of namespace CGAL::Polygon_mesh_processing