diff --git a/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Filtered_traits_base_2.h b/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Filtered_traits_base_2.h
index 426746d4130..1867aaa5d71 100644
--- a/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Filtered_traits_base_2.h
+++ b/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Filtered_traits_base_2.h
@@ -177,6 +177,7 @@ public:
   //---------------------------------
   typedef typename CK::Construct_object_2     Construct_object_2;
   typedef typename CK::Assign_2               Assign_2;
+  typedef typename CK::Construct_point_2      Construct_point_2;
 
   // CONSTRUCTIONS
   //--------------
@@ -376,6 +377,11 @@ public:
     return Construct_object_2();
   }
 
+  Construct_point_2
+  construct_point_2_object() const {
+    return Construct_point_2();
+  }
+
   // CONSTRUCTIONS
   //--------------
   Construct_svd_vertex_2
diff --git a/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Traits_base_2.h b/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Traits_base_2.h
index 00e232de6d4..a94164ef197 100644
--- a/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Traits_base_2.h
+++ b/Segment_Delaunay_graph_2/include/CGAL/Segment_Delaunay_graph_2/Traits_base_2.h
@@ -105,6 +105,7 @@ public:
   //-------------------------------
   typedef typename Kernel::Construct_object_2     Construct_object_2;
   typedef typename Kernel::Assign_2               Assign_2;
+  typedef typename Kernel::Construct_point_2      Construct_point_2;
 
   // CONSTRUCTIONS
   //--------------
@@ -195,6 +196,11 @@ public:
     return Construct_object_2();
   }
 
+  Construct_point_2
+  construct_point_2_object() const {
+    return Construct_point_2();
+  }
+
   // CONSTRUCTIONS
   //--------------
   Construct_svd_vertex_2