diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_2.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_2.h
new file mode 100644
index 00000000000..d2c8b136f44
--- /dev/null
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_2.h
@@ -0,0 +1,29 @@
+#ifndef CGAL_KD_CARTESIAN_2_H
+#define CGAL_KD_CARTESIAN_2_H
+#include <CGAL/functor_tags.h>
+#include <CGAL/predicates/sign_of_determinant.h>
+
+namespace CGAL {
+namespace CartesianDKernelFunctors {
+template <class R_>
+struct Orientation_of_points_2 : private Store_kernel<R_> {
+	CGAL_FUNCTOR_INIT_STORE(Orientation_of_points_2);
+	typedef typename R_::template Type<Point_tag>::type Point;
+	typedef typename R_::Orientation result_type;
+	typedef typename R_::FT FT;
+	template<class Iter>
+	result_type operator()(Iter f, Iter e)const{
+		typename R_::template Functor<Compute_cartesian_coordinate_tag>::type c(this->kernel());
+		Point const&A=*f;
+		FT const& ax=c(A,0);
+		FT const& ay=c(A,1);
+		Point const&B=*++f;
+		Point const&C=*++f;
+		CGAL_assertion(++f==e);
+		return sign_of_determinant(c(B,0)-ax,c(B,1)-ay,c(C,0)-ax,c(C,1)-ay);
+	}
+};
+}
+}
+
+#endif
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
index 50258a506cc..4510e453930 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_complete.h
@@ -3,6 +3,7 @@
 
 #include <CGAL/Kernel_d/function_objects_cartesian.h>
 #include <CGAL/Kernel_d/Segmentd.h>
+#include <CGAL/Kernel_d/Cartesian_per_dimension.h>
 #include <boost/mpl/if.hpp>
 #include <boost/type_traits/is_same.hpp>
 #include <boost/mpl/has_xxx.hpp>
@@ -16,7 +17,7 @@ BOOST_MPL_HAS_XXX_TRAIT_DEF(Direction)
 BOOST_MPL_HAS_XXX_TRAIT_DEF(Line)
 }
 
-template<class R_,class Derived_> struct Cartesian_define_all_functors
+template<class R_,class Derived_> struct Cartesian_define_all_functors_
 : public R_
 {
 	typedef R_ Kernel_base;
@@ -39,6 +40,9 @@ template<class R_,class Derived_> struct Cartesian_define_all_functors
 
 };
 
+template<class R_,class Derived_> struct Cartesian_define_all_functors
+: public Cartesian_per_dimension<typename R_::Default_ambient_dimension,Cartesian_define_all_functors_<R_,Derived_>,Derived_> {};
+
 template<class R_,bool force_=false> struct Cartesian_complete_types 
 : public R_
 {
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_per_dimension.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_per_dimension.h
new file mode 100644
index 00000000000..5f237284929
--- /dev/null
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_per_dimension.h
@@ -0,0 +1,29 @@
+#ifndef CGAL_KD_CARTESIAN_PER_DIM_H
+#define CGAL_KD_CARTESIAN_PER_DIM_H
+#include <CGAL/functor_tags.h>
+#include <CGAL/Dimension.h>
+#include <CGAL/predicates/sign_of_determinant.h>
+#include <CGAL/Kernel_d/Cartesian_2.h>
+
+namespace CGAL {
+template <class Dim_, class R_, class Derived_>
+struct Cartesian_per_dimension : public R_ {};
+
+// TODO: we want to put the actual functors in some other file. Maybe name the
+// classes Orientation_2 to make it easy to typedef them all.
+template <class R_, class Derived_>
+struct Cartesian_per_dimension<Dimension_tag<2>,R_,Derived_> : public R_ {
+	typedef R_ Kernel_base;
+	template<class F, class D=void> struct Functor
+		: Kernel_base::template Functor<F,D>
+	{ };
+
+#define CGAL_override_in_dim2(X) \
+	template<class D> struct Functor<X##_tag,D> { \
+		typedef CartesianDKernelFunctors::X##_2<Derived_> type; \
+	}
+	CGAL_override_in_dim2(Orientation_of_points);
+};
+}
+
+#endif