diff --git a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_example.cpp b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_example.cpp
index b1d542d4637..183b3320a6c 100644
--- a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_example.cpp
+++ b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_example.cpp
@@ -83,8 +83,7 @@ int main(int argc, char *argv[])
     anchor_pos,
     anchor_vtx,
     bdrs,
-    L21ApproximationTrait(mesh, point_pmap, normal_pmap, area_pmap),
-    Kernel());
+    L21ApproximationTrait(mesh, point_pmap, normal_pmap, area_pmap));
 
   return EXIT_SUCCESS;
 }
diff --git a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_metric_example.cpp b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_metric_example.cpp
index 303d5c42f7d..98ac5fdeceb 100644
--- a/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_metric_example.cpp
+++ b/Surface_mesh_approximation/examples/Surface_mesh_approximation/vsa_metric_example.cpp
@@ -188,8 +188,7 @@ int main(int argc, char *argv[])
     anchor_pos,
     anchor_vtx,
     bdrs,
-    ApproxTrait(mesh, point_pmap, center_pmap, area_pmap, normal_pmap),
-    Kernel());
+    ApproxTrait(mesh, point_pmap, center_pmap, area_pmap, normal_pmap));
 
   return EXIT_SUCCESS;
 }
diff --git a/Surface_mesh_approximation/include/CGAL/vsa_mesh_approximation.h b/Surface_mesh_approximation/include/CGAL/vsa_mesh_approximation.h
index 95835c72c6c..172fd89b347 100644
--- a/Surface_mesh_approximation/include/CGAL/vsa_mesh_approximation.h
+++ b/Surface_mesh_approximation/include/CGAL/vsa_mesh_approximation.h
@@ -26,7 +26,6 @@ namespace CGAL
  * @tparam AnchorVertexContainer a container of extracted anchor vertex
  * @tparam BoundaryContainer a container of proxy patch boundary
  * @tparam ApproximationTrait an approximation trait
- * @tparam GeomTraits geometric kernel
 
  * @param init select seed initialization
  * @param tm a triangle mesh
@@ -40,7 +39,6 @@ namespace CGAL
  * @param vtx anchor vertex container
  * @param bdrs proxy patch boundary container
  * @param app_trait shape approximation trait
- * @param traits kernel traits
  */
 template<typename TriangleMesh,
   typename FacetProxyMap,
@@ -50,8 +48,7 @@ template<typename TriangleMesh,
   typename AnchorPositionContainer,
   typename AnchorVertexContainer,
   typename BoundaryContainer,
-  typename ApproximationTrait,
-  typename GeomTraits>
+  typename ApproximationTrait>
   void vsa_mesh_approximation(
     const int init,
     const TriangleMesh &tm,
@@ -64,8 +61,7 @@ template<typename TriangleMesh,
     AnchorPositionContainer &pos,
     AnchorVertexContainer &vtx,
     BoundaryContainer &bdrs,
-    const ApproximationTrait &app_trait,
-    GeomTraits traits) {
+    const ApproximationTrait &app_trait) {
   // CGAL_precondition(is_pure_triangle(tm));
 
   typedef CGAL::internal::VSA_approximation<