diff --git a/Packages/Segment_Voronoi_diagram_2/include/CGAL/Segment_Voronoi_diagram_hierarchy_2.h b/Packages/Segment_Voronoi_diagram_2/include/CGAL/Segment_Voronoi_diagram_hierarchy_2.h
index 514a185e8c7..05a94f3e645 100644
--- a/Packages/Segment_Voronoi_diagram_2/include/CGAL/Segment_Voronoi_diagram_hierarchy_2.h
+++ b/Packages/Segment_Voronoi_diagram_2/include/CGAL/Segment_Voronoi_diagram_hierarchy_2.h
@@ -181,6 +181,17 @@ public:
     }
   }
 
+  Vertex_handle insert(const Point& p, Vertex_handle)
+  {
+    return insert(p);
+  }
+
+  Vertex_handle insert(const Point& p1, const Point& p2,
+		       Vertex_handle)
+  {
+    return insert(p1, p2);
+  }
+
 private:
   Vertex_handle insert_point(const Point& p, int level);
   void          insert_point(const Point& p, int level,
@@ -202,6 +213,11 @@ public:
   Vertex_handle  nearest_neighbor(const Point& p,
 				  bool force_point = false) const;
 
+  Vertex_handle  nearest_neighbor(const Point& p, Vertex_handle)
+  {
+    return nearest_neighbor(p);
+  }
+
 private:
   void nearest_neighbor(const Site& p,
 			Vertex_handle vnear[svd_hierarchy_2__maxlevel],
@@ -310,7 +326,6 @@ clear()
   }
 }
 
-
 template<class Gt, class P, class Tds>
 inline
 typename Segment_Voronoi_diagram_hierarchy_2<Gt,P,Tds>::Vertex_handle