diff --git a/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/GarlandHeckbert_composed_policies.h b/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/GarlandHeckbert_composed_policies.h
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+++ b/Surface_mesh_simplification/include/CGAL/Surface_mesh_simplification/Policies/Edge_collapse/GarlandHeckbert_composed_policies.h
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+// Copyright (c) 2025  GeometryFactory (France). All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
+//
+// Author(s)     : Leo Valque
+
+#ifndef CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_COMPOSED_POLICIES_H
+#define CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_COMPOSED_POLICIES_H
+
+#include <CGAL/license/Surface_mesh_simplification.h>
+
+#include <CGAL/Surface_mesh_simplification/internal/Common.h>
+#include <CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/GarlandHeckbert_policy_base.h>
+#include <CGAL/Surface_mesh_simplification/Policies/Edge_collapse/internal/GarlandHeckbert_functions.h>
+
+namespace CGAL {
+namespace Surface_mesh_simplification {
+namespace internal {
+
+template <typename TriangleMesh, typename GeomTraits, typename Quadric_calculator_1, typename Quadric_calculator_2>
+class Composed_quadric_calculator
+{
+  typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Mat_4             Mat_4;
+  typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Col_4             Col_4;
+  typedef typename GarlandHeckbert_matrix_types<GeomTraits>::Row_4             Row_4;
+
+  Quadric_calculator_1 quadric_calculator_1;
+  Quadric_calculator_2 quadric_calculator_2;
+  double weight_1;
+  double weight_2;
+
+public:
+  Composed_quadric_calculator(Quadric_calculator_1 &&qc1, Quadric_calculator_2 &&qc2, double w1=1., double w2=1.):
+    quadric_calculator_1(qc1), quadric_calculator_2(qc2), weight_1(w1), weight_2(w2){}
+  Composed_quadric_calculator(double w1=1., double w2=1.): weight_1(w1), weight_2(w2){}
+
+  template <typename VertexPointMap>
+  Mat_4 construct_quadric_from_vertex(typename boost::graph_traits<TriangleMesh>::vertex_descriptor v,
+                                      const TriangleMesh& tmesh,
+                                      const VertexPointMap point_map,
+                                      const GeomTraits& gt) const
+  {
+    return weight_1 * quadric_calculator_1.construct_quadric_from_vertex(v, tmesh, point_map, gt) +
+           weight_2 * quadric_calculator_2.construct_quadric_from_vertex(v, tmesh, point_map, gt);
+  }
+
+  template <typename VertexPointMap>
+  Mat_4 construct_quadric_from_edge(typename boost::graph_traits<TriangleMesh>::halfedge_descriptor he,
+                                    const TriangleMesh& tmesh,
+                                    const VertexPointMap point_map,
+                                    const GeomTraits& gt) const
+  {
+    return weight_1 * Quadric_calculator_1().construct_quadric_from_edge(he, tmesh, point_map, gt) +
+           weight_2 * Quadric_calculator_2().construct_quadric_from_edge(he, tmesh, point_map, gt);
+  }
+
+  template <typename VertexPointMap>
+  Mat_4 construct_quadric_from_face(typename boost::graph_traits<TriangleMesh>::face_descriptor f,
+                                    const TriangleMesh& tmesh,
+                                    const VertexPointMap point_map,
+                                    const GeomTraits& gt) const
+  {
+    return weight_1 * Quadric_calculator_1().construct_quadric_from_face(f, tmesh, point_map, gt) +
+           weight_2 * Quadric_calculator_2().construct_quadric_from_face(f, tmesh, point_map, gt);
+  }
+
+
+  Col_4 construct_optimal_point(const Mat_4& quadric,
+                                const Col_4& p0,
+                                const Col_4& p1) const
+  {
+    //TODO How merge here?
+    return construct_optimal_point_singular<GeomTraits>(quadric, p0, p1);
+  }
+};
+
+} // namespace internal
+
+template<typename TriangleMesh, typename GeomTraits, typename GH_policies_1, typename GH_policies_2>
+class GarlandHeckbert_composed_policies
+  : public internal::GarlandHeckbert_cost_and_placement<
+             internal::Composed_quadric_calculator<TriangleMesh, GeomTraits,
+                                                   typename GH_policies_1::Quadric_calculator,
+                                                   typename GH_policies_2::Quadric_calculator>,
+             TriangleMesh, GeomTraits>
+{
+public:
+  typedef internal::Composed_quadric_calculator<TriangleMesh, GeomTraits,
+                                                   typename GH_policies_1::Quadric_calculator,
+                                                   typename GH_policies_2::Quadric_calculator>
+          Quadric_calculator;
+
+private:
+  typedef internal::GarlandHeckbert_cost_and_placement<
+            Quadric_calculator, TriangleMesh, GeomTraits>                      Base;
+  typedef GarlandHeckbert_composed_policies<TriangleMesh, GeomTraits, GH_policies_1, GH_policies_2>             Self;
+
+public:
+  typedef Self                                                                 Get_cost;
+  typedef Self                                                                 Get_placement;
+
+  typedef typename GeomTraits::FT                                              FT;
+
+public:
+  GarlandHeckbert_composed_policies(TriangleMesh& tmesh,
+                                    double w1=1., double w2=1.,const FT dm = FT(100))
+    : Base(tmesh, Quadric_calculator(w1, w2), dm)
+  { }
+
+  // GarlandHeckbert_composed_policies(TriangleMesh& tmesh,
+  //                                   GH_policies_1
+  //                                   double w1=1., double w2=1.,const FT dm = FT(100))
+  //   : Base(tmesh, Quadric_calculator(w1, w2), dm)
+  // { }
+
+public:
+  const Get_cost& get_cost() const { return *this; }
+  const Get_placement& get_placement() const { return *this; }
+
+  using Base::operator();
+};
+
+} // namespace Surface_mesh_simplification
+} // namespace CGAL
+
+#endif // CGAL_SURFACE_MESH_SIMPLIFICATION_POLICIES_GARLANDHECKBERT_COMPOSED_POLICIES_H
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