diff --git a/Mesh_3/include/CGAL/Mesh_criteria_3.h b/Mesh_3/include/CGAL/Mesh_criteria_3.h
index 12e0e422207..c2d5d3d9b13 100644
--- a/Mesh_3/include/CGAL/Mesh_criteria_3.h
+++ b/Mesh_3/include/CGAL/Mesh_criteria_3.h
@@ -70,15 +70,15 @@ public:
   // is not a problem
   template <typename CGAL_NP_TEMPLATE_PARAMETERS>
   Mesh_criteria_3_impl(const CGAL_NP_CLASS& np)
-    :edge_criteria_(parameters::choose_parameter(parameters::get_parameter(np, internal_np::edge_size_param), FT(DBL_MAX)),
+    :edge_criteria_(parameters::choose_parameter(parameters::get_parameter_reference(np, internal_np::edge_size_param), FT(DBL_MAX)),
                     parameters::choose_parameter(parameters::get_parameter(np, internal_np::edge_min_size_param), FT(0))),
     facet_criteria_(parameters::choose_parameter(parameters::get_parameter(np, internal_np::facet_angle_param), FT(0)),
-                    parameters::choose_parameter(parameters::get_parameter(np, internal_np::facet_size_param), FT(0)),
+                    parameters::choose_parameter(parameters::get_parameter_reference(np, internal_np::facet_size_param), FT(0)),
                     parameters::choose_parameter(parameters::get_parameter_reference(np, internal_np::facet_distance_param), FT(0)),
                     parameters::choose_parameter(parameters::get_parameter(np, internal_np::facet_topology_param), CGAL::FACET_VERTICES_ON_SURFACE),
                     parameters::choose_parameter(parameters::get_parameter(np, internal_np::facet_min_size_param), FT(0))),
     cell_criteria_(parameters::choose_parameter(parameters::get_parameter(np, internal_np::cell_radius_edge_ratio_param), FT(0)),
-                   parameters::choose_parameter(parameters::get_parameter(np, internal_np::cell_size_param), FT(0)),
+                   parameters::choose_parameter(parameters::get_parameter_reference(np, internal_np::cell_size_param), FT(0)),
                    parameters::choose_parameter(parameters::get_parameter(np, internal_np::cell_min_size_param), FT(0)))
   { }