diff --git a/Intersections_2/include/CGAL/Intersections_2/Bbox_2_Point_2.h b/Intersections_2/include/CGAL/Intersections_2/Bbox_2_Point_2.h
index 5df79996e48..c047a36474c 100644
--- a/Intersections_2/include/CGAL/Intersections_2/Bbox_2_Point_2.h
+++ b/Intersections_2/include/CGAL/Intersections_2/Bbox_2_Point_2.h
@@ -29,29 +29,29 @@
 #include <CGAL/Intersections_2/Iso_rectangle_2_Point_2.h>
 
 namespace CGAL {
-
-template<typename K>
-bool do_intersect(const CGAL::Bbox_2& a,
-                  const Point_2<K>& b)
-{
-  Point_2<K> bl(a.xmin(), a.ymin()), tr(a.xmax(), a.ymax());
-
-  Iso_rectangle_2<K> ic(bl,tr);
-  return K().do_intersect_2_object()(ic, b);
-}
-
-
-template<typename K>
-bool do_intersect(const Point_2<K>& a,
-                  const CGAL::Bbox_2& b)
-{
-  return do_intersect(b,a);
-}
-
 namespace Intersections {
-
 namespace internal {
 
+template <class K>
+inline bool do_intersect(const Bbox_2 &bbox,
+                         const Point_2<K> &pt,
+                         const K& k)
+{
+  Point_2<K> bl(bbox.xmin(), bbox.ymin()),
+             tr(bbox.xmax(), bbox.ymax());
+  Iso_rectangle_2<K> ic(bl,tr);
+
+  return k.do_intersect_2_object()(ic, pt);
+}
+
+template <class K>
+inline bool do_intersect(const Point_2<K> &pt,
+                         const Bbox_2& bbox,
+                         const K& k)
+{
+  return do_intersect(bbox, pt, k);
+}
+
 template<typename K>
 typename CGAL::Intersection_traits<K, typename K::Point_2, CGAL::Bbox_2>::result_type
 intersection(const Point_2<K>& a,
@@ -77,6 +77,20 @@ intersection(const CGAL::Bbox_2& b,
 } // namespace internal
 } // namespace Intersections
 
+template<typename K>
+bool do_intersect(const CGAL::Bbox_2& a,
+                  const Point_2<K>& b)
+{
+  return Intersections::internal::do_intersect(a,b,K());
+}
+
+template<typename K>
+bool do_intersect(const Point_2<K>& a,
+                  const CGAL::Bbox_2& b)
+{
+  return Intersections::internal::do_intersect(b,a,K());
+}
+
 template<typename K>
 typename CGAL::Intersection_traits<K, Bbox_2, Point_2<K> >::result_type
 intersection(const Bbox_2& b,
@@ -92,6 +106,7 @@ typename CGAL::Intersection_traits<K, Bbox_2, Point_2<K> >::result_type
 {
   return Intersections::internal::intersection(b,a,K());
 }
+
 } // namespace CGAL
 
 #endif // CGAL_INTERSECTIONS_2_BBOX_2_POINT_2_H