diff --git a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_filter_K.h b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_filter_K.h
index 8b8e5f6c50a..328106b6c9c 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Cartesian_filter_K.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Cartesian_filter_K.h
@@ -27,7 +27,6 @@ struct Cartesian_filter_K : public Base_,
     EK_rt exact_kernel()const{return this->kernel2();}
 
     //TODO: C2A/C2E could be able to convert *this into this->kernel() or this->kernel2().
-    //TODO: give CartesianD_converter the list of objects it needs to be able to convert (tuple<Point_tag,Segment_tag> for instance), so Cartesian_filter_K needs to know that list (take an extra template parameter? Read it from Kernel_base?)
     typedef CartesianD_converter<Kernel_base,AK> C2A;
     typedef CartesianD_converter<Kernel_base,EK> C2E;
 
diff --git a/NewKernel_d/include/CGAL/Kernel_d/Lazy_cartesian.h b/NewKernel_d/include/CGAL/Kernel_d/Lazy_cartesian.h
index 9093f763bde..322e04e3b5d 100644
--- a/NewKernel_d/include/CGAL/Kernel_d/Lazy_cartesian.h
+++ b/NewKernel_d/include/CGAL/Kernel_d/Lazy_cartesian.h
@@ -61,7 +61,10 @@ struct Lazy_cartesian : Dimension_base<typename EK_::Default_ambient_dimension>
 		    typename Exact_kernel::template Type<T>::type,
 		    typename Exact_kernel::FT, E2A> type;
     };
-    typedef typename Exact_kernel::Object_list Object_list;
+    typedef typename typeset_intersection<
+      typename Approximate_kernel::Object_list,
+      typename Exact_kernel::Object_list
+	>::type Object_list;
 
     template<class T,class D=void,class=typename map_functor_type<T>::type> struct Functor {
 	    typedef Null_functor type;