diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/remesh.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/remesh.h
index ef622802384..186d6951a97 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/remesh.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/remesh.h
@@ -121,6 +121,9 @@ void isotropic_remeshing(const FaceRange& faces
                        , PolygonMesh& pmesh
                        , const NamedParameters& np)
 {
+  if (boost::begin(faces)==boost::end(faces))
+    return;
+
   typedef PolygonMesh PM;
   typedef typename boost::graph_traits<PM>::vertex_descriptor vertex_descriptor;
   using boost::choose_pmap;