diff --git a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/add_imaginary_layer.h b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/add_imaginary_layer.h
index c35861d2752..59c796333cd 100644
--- a/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/add_imaginary_layer.h
+++ b/Tetrahedral_remeshing/include/CGAL/Tetrahedral_remeshing/internal/add_imaginary_layer.h
@@ -206,11 +206,9 @@ namespace internal
   template<typename T3, typename Index/*Subdomain_index*/>
   void add_layer_of_imaginary_tets(T3& tr, const Index& imaginary_index)
   {
-    typedef typename T3::Geom_traits Gt;
-    typedef typename Gt::Point_3     Point_3;
-    typedef typename Gt::Vector_3    Vector_3;
-
-    typedef typename T3::Vertex_handle Vertex_handle;
+    typedef typename T3::Vertex_handle         Vertex_handle;
+    typedef typename T3::Point                 Point;
+    typedef typename T3::Geom_traits::Vector_3 Vector_3;
 
     //compute normals
     boost::unordered_map<Vertex_handle, Vector_3> normals;
@@ -220,7 +218,7 @@ namespace internal
     const double offset = 0.04 * compute_bbox_max_size(tr);
 
     //compute points to be inserted
-    std::vector<Point_3> offset_points;
+    std::vector<Point> offset_points;
     compute_offset_points(normals,
       offset,
       std::back_inserter(offset_points));