diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Explicit_cartesian_grid_domain.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Explicit_cartesian_grid_domain.h
index ec8e8049104..4e5e020dc5e 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Explicit_cartesian_grid_domain.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Explicit_cartesian_grid_domain.h
@@ -28,6 +28,7 @@ class Explicit_cartesian_grid_domain_with_gradient
                          Gradient_> {
 public:
     typedef GeomTraits Geom_traits;
+    typedef typename Geom_traits::Vector_3 Vector;
 
     typedef Grid_topology Topology;
     typedef Cartesian_grid_geometry<Geom_traits> Geometry;
@@ -48,6 +49,13 @@ private:
 template <class GeomTraits>
 class Explicit_cartesian_grid_domain
     : public Explicit_cartesian_grid_domain_with_gradient<GeomTraits, Zero_gradient<GeomTraits>> {
+public:
+    typedef GeomTraits Geom_traits;
+    typedef typename Geom_traits::Vector_3 Vector;
+
+    typedef Cartesian_grid_3<Geom_traits> Function;
+    typedef Zero_gradient<Geom_traits> Gradient;
+
 public:
     Explicit_cartesian_grid_domain(const std::size_t size_i, const std::size_t size_j, const std::size_t size_k,
                                    const Vector& offset, const Vector& spacing, const Function& grid)
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_cartesian_grid_domain.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_cartesian_grid_domain.h
index 637b43bb029..75c033d0f40 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_cartesian_grid_domain.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_cartesian_grid_domain.h
@@ -57,6 +57,13 @@ private:
 template <class GeomTraits, typename Function_>
 class Implicit_cartesian_grid_domain
     : public Implicit_cartesian_grid_domain_with_gradient<GeomTraits, Function_, Zero_gradient<GeomTraits>> {
+public:
+    typedef GeomTraits Geom_traits;
+    typedef typename Geom_traits::Vector_3 Vector;
+
+    typedef Function_ Function_with_point;
+    typedef Zero_gradient<Geom_traits> Gradient;
+
 public:
     Implicit_cartesian_grid_domain(const std::size_t size_i, const std::size_t size_j, const std::size_t size_k,
                                    const Vector& offset, const Vector& spacing, const Function_with_point& func)
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_octree_domain.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_octree_domain.h
index 03b74759686..403361093f8 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_octree_domain.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/internal/Implicit_octree_domain.h
@@ -53,6 +53,12 @@ private:
 template <class GeomTraits, typename Function_>
 class Implicit_octree_domain
     : public Implicit_octree_domain_with_gradient<GeomTraits, Function_, Zero_gradient<GeomTraits>> {
+public:
+    typedef GeomTraits Geom_traits;
+    typedef Octree_wrapper<Geom_traits> Octree;
+    typedef Function_ Function_with_point;
+    typedef Zero_gradient<Geom_traits> Gradient;
+
 public:
     Implicit_octree_domain(const Octree& octree, const Function_with_point& func)
         : Implicit_cartesian_grid_domain_with_gradient(octree, func, grad) {}