diff --git a/Polyhedron/demo/Polyhedron/MainWindow.h b/Polyhedron/demo/Polyhedron/MainWindow.h
index d2b3a27e48f..a6bdd6c9c86 100644
--- a/Polyhedron/demo/Polyhedron/MainWindow.h
+++ b/Polyhedron/demo/Polyhedron/MainWindow.h
@@ -48,7 +48,9 @@ protected slots:
   void on_actionSetPolyhedronA_triggered();
   void on_actionSetPolyhedronB_triggered();
   void on_actionInsideOut_triggered();
+
   void on_actionMVC_triggered();
+  void on_actionDCP_triggered();
 
   // save
   // TODO: save all, save current (do we store the current file name?)
@@ -88,13 +90,20 @@ protected slots:
   // remeshing, in MainWindow_remeshing.cpp
   void on_actionRemeshing_triggered();
 
+
+
 protected:
   enum  Boolean_operation { BOOLEAN_UNION,
                             BOOLEAN_INTERSECTION,
                             BOOLEAN_DIFFERENCE };
-  // define in MainWindow_boolean_operations.cpp
+  enum  Parameterization_method  { PARAM_MVC,
+                                   PARAM_DCP};
+  // defined in MainWindow_boolean_operations.cpp
   void boolean_operation(const Boolean_operation operation);
 
+  // defined in MainWindow_parameterization.cpp
+  void parameterize(const Parameterization_method method);
+
   void dragEnterEvent(QDragEnterEvent *event);
   void dropEvent(QDropEvent *event);
   void closeEvent(QCloseEvent *event);
diff --git a/Polyhedron/demo/Polyhedron/MainWindow.ui b/Polyhedron/demo/Polyhedron/MainWindow.ui
index 7efef3bfb50..697d5526fb0 100644
--- a/Polyhedron/demo/Polyhedron/MainWindow.ui
+++ b/Polyhedron/demo/Polyhedron/MainWindow.ui
@@ -188,6 +188,7 @@
       <string>Parameterization</string>
      </property>
      <addaction name="actionMVC" />
+     <addaction name="on_actionDCP_triggered" />
     </widget>
     <addaction name="actionConvexHull" />
     <addaction name="actionKernel" />
@@ -535,6 +536,11 @@
     <string>Mean value coordinates</string>
    </property>
   </action>
+  <action name="on_actionDCP_triggered" >
+   <property name="text" >
+    <string>Discrete conformal maps</string>
+   </property>
+  </action>
  </widget>
  <customwidgets>
   <customwidget>
diff --git a/Polyhedron/demo/Polyhedron/MainWindow_parameterization.cpp b/Polyhedron/demo/Polyhedron/MainWindow_parameterization.cpp
index af4ababf896..a0b14880bbb 100644
--- a/Polyhedron/demo/Polyhedron/MainWindow_parameterization.cpp
+++ b/Polyhedron/demo/Polyhedron/MainWindow_parameterization.cpp
@@ -7,10 +7,12 @@
 
 #include <CGAL/Parameterization_polyhedron_adaptor_3.h>
 #include <CGAL/parameterize.h>
+#include <CGAL/Discrete_conformal_map_parameterizer_3.h>
+#include <CGAL/Two_vertices_parameterizer_3.h>
 
 #include <iostream>
 
-void MainWindow::on_actionMVC_triggered()
+void MainWindow::parameterize(const Parameterization_method method)
 {
   QApplication::setOverrideCursor(Qt::WaitCursor);
 
@@ -23,10 +25,66 @@ void MainWindow::on_actionMVC_triggered()
   time.start();
   typedef CGAL::Parameterization_polyhedron_adaptor_3<Polyhedron> Adaptor;
   Adaptor adaptor(*pMesh);  
-  std::cerr << "Parameterize...";
-  typedef CGAL::Parameterizer_traits_3<Adaptor> Parameterizer;
-  Parameterizer::Error_code err = CGAL::parameterize(adaptor);
-  std::cout << "ok (" << time.elapsed() << " ms)" << std::endl;
+
+  bool success;
+  switch(method)
+  {
+    case PARAM_MVC:
+    {
+      std::cerr << "Parameterize (MVC)...";
+      typedef CGAL::Mean_value_coordinates_parameterizer_3<Adaptor> Parameterizer;
+      Parameterizer::Error_code err = CGAL::parameterize(adaptor,Parameterizer());
+      success = err == Parameterizer::OK;
+      break;
+    }
+    case PARAM_DCP:
+    {
+      std::cerr << "Parameterize (DCP)...";
+      typedef CGAL::Discrete_conformal_map_parameterizer_3<Adaptor,CGAL::Two_vertices_parameterizer_3<Adaptor> > Parameterizer;
+      Parameterizer::Error_code err = CGAL::parameterize(adaptor,Parameterizer());
+      success = err == Parameterizer::OK;
+    }
+  }
+
+  if(success)
+    std::cout << "ok (" << time.elapsed() << " ms)" << std::endl;
+  else
+  {
+    std::cout << "failure" << std::endl;
+    QApplication::setOverrideCursor(Qt::ArrowCursor);
+    return;
+  }
+
+  // add parameterized mesh 
+  Polyhedron *pParameterization = new Polyhedron(*pMesh);
+  Polyhedron::Vertex_iterator it1, it2;
+  for(it1 = pMesh->vertices_begin(), 
+      it2 = pParameterization->vertices_begin();
+      it1 != pMesh->vertices_end(),
+      it2 != pParameterization->vertices_end();
+      it1++, it2++)
+  {
+    // (u,v) pair is stored in any halfedge
+    FT u = adaptor.info(it1->halfedge())->uv().x();
+    FT v = adaptor.info(it1->halfedge())->uv().y();
+    it2->point() = Point(u-0.5,v-0.5,0.0);
+  }
+
+  scene->addPolyhedron(pParameterization,
+    tr("%1 (parameterization)").arg(scene->polyhedronName(index)),
+    Qt::magenta,
+    scene->isPolyhedronActivated(index),
+    scene->polyhedronRenderingMode(index));
 
   QApplication::setOverrideCursor(Qt::ArrowCursor);
 }
+
+void MainWindow::on_actionMVC_triggered()
+{
+  parameterize(PARAM_MVC);
+}
+
+void MainWindow::on_actionDCP_triggered()
+{
+  parameterize(PARAM_DCP);
+}
diff --git a/Polyhedron/demo/Polyhedron/Scene.cpp b/Polyhedron/demo/Polyhedron/Scene.cpp
index fb3c4791b39..9807461eebe 100644
--- a/Polyhedron/demo/Polyhedron/Scene.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene.cpp
@@ -298,6 +298,9 @@ Scene::draw(bool with_names)
 void
 Scene::draw(Polyhedron_entry& entry)
 {
+	this->gl_render_facets(entry.polyhedron_ptr);
+
+	/*
   if(!entry.display_list_built)
   {
     entry.display_list = ::glGenLists(1);
@@ -315,6 +318,7 @@ Scene::draw(Polyhedron_entry& entry)
   }
 
   ::glCallList(entry.display_list);
+	*/
 }
 
 void Scene::gl_render_facets(Polyhedron_ptr ptr)