diff --git a/Kernel_23/include/CGAL/Point_3.h b/Kernel_23/include/CGAL/Point_3.h
index f5bedbae9b9..5c779012c5b 100644
--- a/Kernel_23/include/CGAL/Point_3.h
+++ b/Kernel_23/include/CGAL/Point_3.h
@@ -50,6 +50,7 @@ public:
   typedef Dimension_tag<3>  Ambient_dimension;
   typedef Dimension_tag<0>  Feature_dimension;
 
+  typedef typename R_::Weighted_point_3 Weighted_point_3;
   typedef typename R_::Kernel_base::Point_3  Rep;
   typedef typename R_::Cartesian_const_iterator_3 Cartesian_const_iterator;
 
@@ -74,6 +75,10 @@ public:
   Point_3(const Rep& p)
       : Rep(p) {}
 
+  Point_3(const Weighted_point_3& wp)
+    : Rep(wp.point())
+  {}
+
   template < typename T1, typename T2, typename T3 >
   Point_3(const T1& x, const T2& y, const T3& z)
     : Rep(typename R::Construct_point_3()(Return_base_tag(), x, y, z))
diff --git a/Mesh_3/include/CGAL/Mesh_3/Creator_weighted_point_3.h b/Mesh_3/include/CGAL/Mesh_3/Creator_weighted_point_3.h
index f536faeb5fa..fd779803445 100644
--- a/Mesh_3/include/CGAL/Mesh_3/Creator_weighted_point_3.h
+++ b/Mesh_3/include/CGAL/Mesh_3/Creator_weighted_point_3.h
@@ -56,8 +56,10 @@ public:
   /// We do not pass \c const \c Arg_& because \c Arg_ is a ring number type
   Weighted_point operator()(Arg_ a1, Arg_ a2, Arg_ a3) const
   {
-    typedef typename Weighted_point::Point Bare_point;
-    return Weighted_point(Bare_point(a1,a2,a3));
+    // AF: check this
+    //typedef typename Weighted_point::Point Bare_point;
+    //    return Weighted_point(Bare_point(a1,a2,a3));
+    return Weighted_point(a1,a2,a3);
   }
 
 private:
diff --git a/Mesh_3/include/CGAL/Mesh_3/Robust_weighted_circumcenter_filtered_traits_3.h b/Mesh_3/include/CGAL/Mesh_3/Robust_weighted_circumcenter_filtered_traits_3.h
index 58d0f99fe07..b78e754cede 100644
--- a/Mesh_3/include/CGAL/Mesh_3/Robust_weighted_circumcenter_filtered_traits_3.h
+++ b/Mesh_3/include/CGAL/Mesh_3/Robust_weighted_circumcenter_filtered_traits_3.h
@@ -42,8 +42,8 @@ class Robust_filtered_compute_squared_radius_3
 {
 public:
   typedef Exact_predicates_exact_constructions_kernel         EK;
-  typedef Weighted_converter_3<Cartesian_converter<K, EK> >   To_exact;
-  typedef Weighted_converter_3<Cartesian_converter<EK,K> >    Back_from_exact;
+  typedef Cartesian_converter<K, EK>  To_exact;
+  typedef Cartesian_converter<EK,K>   Back_from_exact;
   
   typedef typename K::Point_3                         Point_3;
   typedef typename K::FT                              FT;
@@ -149,8 +149,8 @@ class Robust_filtered_construct_weighted_circumcenter_3
 {
 public:
   typedef Exact_predicates_exact_constructions_kernel          EK;
-  typedef Weighted_converter_3<Cartesian_converter<K_, EK> >   To_exact;
-  typedef Weighted_converter_3<Cartesian_converter<EK,K_> >    Back_from_exact;
+  typedef Cartesian_converter<K_, EK>   To_exact;
+  typedef Cartesian_converter<EK,K_>     Back_from_exact;
   
   typedef CGAL::Regular_triangulation_euclidean_traits_3<K_> Rt;
   typedef CGAL::Regular_triangulation_euclidean_traits_3<EK> Exact_Rt;
@@ -289,8 +289,8 @@ class Robust_filtered_compute_squared_radius_smallest_orthogonal_sphere_3
 {
 public:
   typedef Exact_predicates_exact_constructions_kernel          EK;
-  typedef Weighted_converter_3<Cartesian_converter<K_, EK> >   To_exact;
-  typedef Weighted_converter_3<Cartesian_converter<EK,K_> >    Back_from_exact;
+  typedef Cartesian_converter<K_, EK>   To_exact;
+  typedef Cartesian_converter<EK,K_>     Back_from_exact;
   
   typedef CGAL::Regular_triangulation_euclidean_traits_3<K_> Rt;
   typedef CGAL::Regular_triangulation_euclidean_traits_3<EK> Exact_Rt;