diff --git a/Polygon_mesh_processing/examples/Polygon_mesh_processing/non_rigid_mesh_registration_example.cpp b/Polygon_mesh_processing/examples/Polygon_mesh_processing/non_rigid_mesh_registration_example.cpp
index 5aa632b88ed..5b5fe2af64b 100644
--- a/Polygon_mesh_processing/examples/Polygon_mesh_processing/non_rigid_mesh_registration_example.cpp
+++ b/Polygon_mesh_processing/examples/Polygon_mesh_processing/non_rigid_mesh_registration_example.cpp
@@ -9,6 +9,7 @@
 #include <CGAL/Point_set_3.h>
 
 #include <CGAL/Timer.h>
+#include <sstream>
 
 using K = CGAL::Exact_predicates_inexact_constructions_kernel;
 using Mesh = CGAL::Surface_mesh<K::Point_3>;
@@ -41,7 +42,6 @@ int main(int, char**) {
   if (corr.is_open()) {
     std::size_t v0, v1;
     while (corr >> v0 >> v1) {
-      std::cout << v0 << " " << v1 << std::endl;
       correspondences_mesh.push_back(std::make_pair(*(source.vertices_begin() + v0), *(target.vertices_begin() + v1)));
     }
   }
@@ -53,13 +53,23 @@ int main(int, char**) {
   Mesh::Property_map<Mesh::Vertex_index, CGAL::Aff_transformation_3<K>> vrm = source.add_property_map<Mesh::Vertex_index, CGAL::Aff_transformation_3<K>>("v:rotation").first;
   Mesh::Property_map<Mesh::Vertex_index, K::Vector_3> vtm = source.add_property_map<Mesh::Vertex_index, K::Vector_3>("v:translation").first;
 
-  FT w1 = 2.0;
-  FT w2 = 2.0;
-  FT w3 = 50;
+  FT w1 = 0.2;
+  FT w2 = 0.2;
+  FT w3 = 5000;
+  new_arap = true;
+
+  std::ostringstream out;
+  out.precision(2);
+  if (new_arap)
+    out << "bear_" << std::fixed << w1 << "_" << w2 << "_" << w3 << "_new.off";
+  else
+    out << "bear_" << std::fixed << w1 << "_" << w2 << "_" << w3 << "_old.off";
+
+  std::cout << std::endl << out.str() << std::endl;
 
   PMP::non_rigid_mesh_to_mesh_registration(source, target, vtm, vrm, CGAL::parameters::point_to_point_energy(w1).point_to_plane_energy(w2).as_rigid_as_possible_energy(w3).correspondences(std::cref(correspondences_mesh)));
   PMP::apply_non_rigid_transformation(source, vtm);
-  CGAL::IO::write_polygon_mesh("bear_" + std::to_string(w1) + "_" + std::to_string(w2) + "_" + std::to_string(w3) + ".off", source);
+  CGAL::IO::write_polygon_mesh(out.str(), source);
 
   return EXIT_SUCCESS;
 }
\ No newline at end of file
diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/non_rigid_mesh_registration.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/non_rigid_mesh_registration.h
index a71f289015b..edbcd2b64b8 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/non_rigid_mesh_registration.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/non_rigid_mesh_registration.h
@@ -41,6 +41,8 @@
 
 #include <CGAL/Aff_transformation_3.h>
 
+bool new_arap = true;
+
 namespace CGAL {
 namespace Polygon_mesh_processing {
 namespace internal {
@@ -619,7 +621,6 @@ void non_rigid_mesh_to_points_registration(TriangleMesh& source,
 #endif
 
     // Update edge neighborhoods by new local rotation
-    bool new_arap = true;
     if (it == (iter - 1)) {
       if (new_arap) {
         for (Index i = 0; i < Z.rows(); ++i)