diff --git a/BGL/include/CGAL/boost/graph/named_params_helper.h b/BGL/include/CGAL/boost/graph/named_params_helper.h
index 4f589134439..19efd08118b 100644
--- a/BGL/include/CGAL/boost/graph/named_params_helper.h
+++ b/BGL/include/CGAL/boost/graph/named_params_helper.h
@@ -503,6 +503,50 @@ CGAL_DEF_GET_INITIALIZED_INDEX_MAP(face, typename boost::graph_traits<Graph>::fa
         > ::type  type;
     };
 
+    template<typename PointRange, typename NamedParameters>
+    class GetScanAngleMap
+    {
+    public:
+      struct NoMap
+      {
+        typedef typename std::iterator_traits<typename PointRange::iterator>::value_type key_type;
+        typedef float value_type;
+        typedef value_type reference;
+        typedef boost::read_write_property_map_tag category;
+
+        typedef NoMap Self;
+        friend reference get(const Self&, const key_type&) { return 0.f; }
+        friend void put(const Self&, const key_type&, const value_type&) { }
+      };
+      typedef typename internal_np::Lookup_named_param_def <
+        internal_np::scan_angle_t,
+        NamedParameters,
+        NoMap//default
+        > ::type  type;
+    };
+
+    template<typename PointRange, typename NamedParameters>
+    class GetScanDirectionFlag
+    {
+    public:
+      struct NoMap
+      {
+        typedef typename std::iterator_traits<typename PointRange::iterator>::value_type key_type;
+        typedef unsigned char value_type;
+        typedef value_type reference;
+        typedef boost::read_write_property_map_tag category;
+
+        typedef NoMap Self;
+        friend reference get(const Self&, const key_type&) { return 0; }
+        friend void put(const Self&, const key_type&, const value_type&) { }
+      };
+      typedef typename internal_np::Lookup_named_param_def <
+        internal_np::scan_direction_flag_t,
+        NamedParameters,
+        NoMap//default
+        > ::type  type;
+    };
+
   } // namespace Point_set_processing_3
 
   template<typename NamedParameters, typename DefaultSolver>
diff --git a/BGL/include/CGAL/boost/graph/parameters_interface.h b/BGL/include/CGAL/boost/graph/parameters_interface.h
index 3e25ee8ff6c..2de74be459b 100644
--- a/BGL/include/CGAL/boost/graph/parameters_interface.h
+++ b/BGL/include/CGAL/boost/graph/parameters_interface.h
@@ -150,6 +150,8 @@ CGAL_add_named_parameter(inspector_t, inspector, inspector)
 CGAL_add_named_parameter(logger_t, logger, logger)
 CGAL_add_named_parameter(pointmatcher_config_t, pointmatcher_config, pointmatcher_config)
 CGAL_add_named_parameter(adjacencies_t, adjacencies, adjacencies)
+CGAL_add_named_parameter(scan_angle_t, scan_angle, scan_angle)
+CGAL_add_named_parameter(scan_direction_flag_t, scan_direction_flag, scan_direction_flag)
 
 // List of named parameters used in Surface_mesh_approximation package
 CGAL_add_named_parameter(verbose_level_t, verbose_level, verbose_level)
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
index 83253368016..bee5fc22af0 100644
--- a/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
+++ b/Point_set_processing_3/examples/Point_set_processing_3/CMakeLists.txt
@@ -59,18 +59,24 @@ if ( CGAL_FOUND )
     target_link_libraries(${target} ${CGAL_libs})
   endforeach()
 
+  # Use Eigen
+  find_package(Eigen3 3.1.0) #(requires 3.1.0 or greater)
+  include(CGAL_Eigen_support)
+
   find_package(LASLIB)
   include(CGAL_LASLIB_support)
   if (TARGET CGAL::LASLIB_support)
     add_executable( read_las_example "read_las_example.cpp" )
     target_link_libraries(read_las_example ${CGAL_libs} CGAL::LASLIB_support)
+    if (TARGET CGAL::Eigen_support)
+      add_executable( orient_lidar_example "orient_lidar_example.cpp" )
+      target_link_libraries(orient_lidar_example ${CGAL_libs}
+        CGAL::Eigen_support CGAL::LASLIB_support)
+    endif()
   else()
     message(STATUS "NOTICE : the LAS reader test requires LASlib and will not be compiled.")
   endif()
 
-  # Use Eigen
-  find_package(Eigen3 3.1.0) #(requires 3.1.0 or greater)
-  include(CGAL_Eigen_support)
   if (TARGET CGAL::Eigen_support)
     set(CGAL_libs ${CGAL_libs} CGAL::Eigen_support)
 
diff --git a/Point_set_processing_3/examples/Point_set_processing_3/orient_lidar_example.cpp b/Point_set_processing_3/examples/Point_set_processing_3/orient_lidar_example.cpp
new file mode 100644
index 00000000000..aae675e0088
--- /dev/null
+++ b/Point_set_processing_3/examples/Point_set_processing_3/orient_lidar_example.cpp
@@ -0,0 +1,89 @@
+#include <CGAL/Simple_cartesian.h>
+#include <CGAL/IO/read_las_points.h>
+#include <CGAL/IO/write_ply_points.h>
+#include <CGAL/jet_estimate_normals.h>
+#include <CGAL/lidar_orient_normals.h>
+
+using Kernel = CGAL::Simple_cartesian<double>;
+using Point_3 = Kernel::Point_3;
+using Vector_3 = Kernel::Vector_3;
+using Point_with_info = std::tuple<Point_3, Vector_3, float, unsigned char>;
+using Point_map = CGAL::Nth_of_tuple_property_map<0, Point_with_info>;
+using Normal_map = CGAL::Nth_of_tuple_property_map<1, Point_with_info>;
+using Scan_angle_map = CGAL::Nth_of_tuple_property_map<2, Point_with_info>;
+using Scan_direction_flag_map = CGAL::Nth_of_tuple_property_map<3, Point_with_info>;
+
+void dump (const char* filename, const std::vector<Point_with_info>& points)
+{
+  std::ofstream ofile (filename, std::ios::binary);
+  CGAL::set_binary_mode(ofile);
+  CGAL::write_ply_points
+    (ofile, points,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()));
+
+}
+
+int main (int argc, char** argv)
+{
+  std::string fname (argc > 1 ? argv[1] : "data/test.las");
+
+  std::vector<Point_with_info> points;
+
+  std::cerr << "Reading input file " << fname << std::endl;
+  std::ifstream ifile (fname, std::ios::binary);
+  if (!ifile ||
+      !CGAL::read_las_points_with_properties
+      (ifile, std::back_inserter (points),
+       CGAL::make_las_point_reader (Point_map()),
+       std::make_pair (Scan_angle_map(),
+                       CGAL::LAS_property::Scan_angle()),
+       std::make_pair (Scan_direction_flag_map(),
+                       CGAL::LAS_property::Scan_direction_flag())))
+  {
+    std::cerr << "Can't read " << fname << std::endl;
+    return EXIT_FAILURE;
+  }
+
+  points.resize(100000);
+
+  std::cerr << "Estimating normals" << std::endl;
+  CGAL::jet_estimate_normals<CGAL::Parallel_if_available_tag>
+    (points, 12,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()));
+
+  std::cerr << "Orienting normals using scan angle and direction flag" << std::endl;
+  CGAL::lidar_orient_normals
+    (points,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()).
+     scan_angle (Scan_angle_map()).
+     scan_direction_flag (Scan_direction_flag_map()));
+  dump("out_angle_and_flag.ply", points);
+
+  std::cerr << "Orienting normals using scan direction flag only" << std::endl;
+  CGAL::lidar_orient_normals
+    (points,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()).
+     scan_direction_flag (Scan_direction_flag_map()));
+  dump("out_flag.ply", points);
+
+  std::cerr << "Orienting normals using scan angle only" << std::endl;
+  CGAL::lidar_orient_normals
+    (points,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()).
+     scan_angle (Scan_angle_map()));
+  dump("out_angle.ply", points);
+
+  std::cerr << "Orienting normals using no additional info" << std::endl;
+  CGAL::lidar_orient_normals
+    (points,
+     CGAL::parameters::point_map (Point_map()).
+     normal_map (Normal_map()));
+  dump("out_nothing.ply", points);
+
+  return EXIT_SUCCESS;
+}
diff --git a/Point_set_processing_3/include/CGAL/lidar_orient_normals.h b/Point_set_processing_3/include/CGAL/lidar_orient_normals.h
new file mode 100644
index 00000000000..c198c1beed7
--- /dev/null
+++ b/Point_set_processing_3/include/CGAL/lidar_orient_normals.h
@@ -0,0 +1,302 @@
+// Copyright (c) 2020 GeometryFactory Sarl (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)     : Simon Giraudot
+
+#ifndef CGAL_LIDAR_ORIENT_NORMALS_H
+#define CGAL_LIDAR_ORIENT_NORMALS_H
+
+#include <CGAL/license/Point_set_processing_3.h>
+
+#include <CGAL/squared_distance_3.h>
+
+#include <CGAL/boost/graph/Named_function_parameters.h>
+#include <CGAL/boost/graph/named_params_helper.h>
+
+#include <queue>
+
+namespace CGAL
+{
+
+/// \cond SKIP_IN_MANUAL
+namespace Point_set_processing_3
+{
+
+namespace internal
+{
+
+template <typename Iterator, typename PointMap,
+          typename ScanDirectionFlagMap>
+bool is_end_of_scanline (Iterator scanline_begin, Iterator it,
+                         PointMap,
+                         ScanDirectionFlagMap scan_direction_flag_map,
+                         const Tag_false&) // no fallback
+{
+  return (get (scan_direction_flag_map, *scanline_begin)
+          != get (scan_direction_flag_map, *it));
+}
+
+template <typename Iterator, typename PointMap,
+          typename ScanDirectionFlagMap>
+bool is_end_of_scanline (Iterator scanline_begin, Iterator it,
+                         PointMap point_map,
+                         ScanDirectionFlagMap,
+                         const Tag_true&) // fallback
+{
+  using Point_3 = typename boost::property_traits<PointMap>::value_type;
+  using Vector_3 = typename Kernel_traits<Point_3>::Kernel::Vector_3;
+
+  if (std::distance (scanline_begin, it) < 3)
+    return false;
+
+  Iterator n_minus_1 = it; -- n_minus_1;
+  Iterator n_minus_2 = n_minus_1; -- n_minus_2;
+  Iterator n_minus_3 = n_minus_2; -- n_minus_3;
+
+  const Point_3& p_minus_1 = get(point_map, *n_minus_1);
+  const Point_3& p_minus_2 = get(point_map, *n_minus_2);
+  const Point_3& p_minus_3 = get(point_map, *n_minus_3);
+
+  // End of scanline reached if inversion of direction
+  Vector_3 v32 (p_minus_3, p_minus_2);
+  v32 = Vector_3 (v32.x(), v32.y(), 0);
+  Vector_3 v21 (p_minus_2, p_minus_1);
+  v21 = Vector_3 (v21.x(), v21.y(), 0);
+
+  return (v32 * v21 < 0);
+}
+
+template <typename Iterator, typename PointMap>
+typename Kernel_traits<typename boost::property_traits
+                       <PointMap>::value_type>::Kernel::Vector_3
+scanline_direction (Iterator begin, Iterator end,
+                    PointMap point_map)
+{
+  using Vector_3 = typename Kernel_traits<typename boost::property_traits
+                                          <PointMap>::value_type>::Kernel::Vector_3;
+  Iterator last = end; -- last;
+  Vector_3 direction (get (point_map, *begin),
+                      get (point_map, *last));
+  direction = Vector_3 (direction.x(), direction.y(), 0);
+  direction = direction / CGAL::approximate_sqrt (direction.squared_length());
+  return direction;
+}
+
+template <typename Iterator, typename PointMap, typename NormalMap,
+          typename ScanDirectionFlagMap, typename ScanAngleMap>
+void orient_scanline (Iterator begin, Iterator end,
+                      PointMap point_map,
+                      NormalMap normal_map,
+                      ScanDirectionFlagMap scan_direction_flag,
+                      ScanAngleMap scan_angle_map,
+                      const Tag_false&, // no fallback direction flag
+                      const Tag_false&) // no fallback scan angle
+{
+  using Vector_3 = typename boost::property_traits<NormalMap>::value_type;
+
+  static const Vector_3 vertical (0, 0, 1);
+
+  Vector_3 direction
+    = Point_set_processing_3::internal::scanline_direction
+    (begin, end, point_map);
+  if (get (scan_direction_flag, *begin) == 1)
+    direction = -direction;
+
+  for (Iterator it = begin; it != end; ++ it)
+  {
+    double angle = CGAL_PI * double(get (scan_angle_map, *it)) / 180.;
+    Vector_3 line_of_sight
+      = direction * std::sin(angle) + vertical * std::cos(angle);
+    const Vector_3& normal = get (normal_map, *it);
+    if (line_of_sight * normal < 0)
+      put (normal_map, *it, -normal);
+  }
+}
+
+template <typename Iterator, typename PointMap, typename NormalMap,
+          typename ScanDirectionFlagMap, typename ScanAngleMap>
+void orient_scanline (Iterator begin, Iterator end,
+                      PointMap point_map,
+                      NormalMap normal_map,
+                      ScanDirectionFlagMap,
+                      ScanAngleMap scan_angle_map,
+                      const Tag_true&, // no fallback direction flag
+                      const Tag_false&) // fallback scan angle
+{
+  using Point_3 = typename boost::property_traits<PointMap>::value_type;
+  using Vector_3 = typename boost::property_traits<NormalMap>::value_type;
+
+  // Estimate scanner position:
+  // above point with minimum scan angle
+  float min_scan_angle = (std::numeric_limits<float>::max)();
+  Iterator chosen = begin;
+  double min_z = (std::numeric_limits<double>::max)();
+  double max_z = -(std::numeric_limits<double>::max)();
+
+  for (Iterator it = begin; it != end; ++ it)
+  {
+    const Point_3& p = get (point_map, *it);
+    min_z = (std::min(min_z, p.z()));
+    max_z = (std::max(max_z, p.z()));
+    float scan_angle = get (scan_angle_map, *it);
+    if (scan_angle < min_scan_angle)
+    {
+      min_scan_angle = scan_angle;
+      chosen = it;
+    }
+  }
+
+  const Point_3& chosen_point = get (point_map, *chosen);
+  Point_3 scan_position (chosen_point.x(),
+                         chosen_point.y(),
+                         min_z + 10 * (max_z - min_z));
+
+  for (Iterator it = begin; it != end; ++ it)
+  {
+    Vector_3 line_of_sight (get(point_map, *it), scan_position);
+    const Vector_3& normal = get (normal_map, *it);
+    if (line_of_sight * normal < 0)
+      put (normal_map, *it, -normal);
+  }
+}
+
+template <typename Iterator, typename PointMap, typename NormalMap,
+          typename ScanDirectionFlagMap, typename ScanAngleMap,
+          typename FallbackFlag>
+void orient_scanline (Iterator begin, Iterator end,
+                      PointMap point_map,
+                      NormalMap normal_map,
+                      ScanDirectionFlagMap,
+                      ScanAngleMap,
+                      const FallbackFlag&, // either fallback direction flag or not
+                      const Tag_true&) // fallback scan angle
+{
+  using Point_3 = typename boost::property_traits<PointMap>::value_type;
+  using Vector_3 = typename boost::property_traits<NormalMap>::value_type;
+
+  // Estimate scanner position:
+  // average XY-projected point, located above
+  double mean_x = 0.;
+  double mean_y = 0.;
+  double min_z = (std::numeric_limits<double>::max)();
+  double max_z = -(std::numeric_limits<double>::max)();
+  std::size_t nb = 0;
+
+  for (Iterator it = begin; it != end; ++ it)
+  {
+    const Point_3& p = get (point_map, *it);
+    mean_x += p.x();
+    mean_y += p.y();
+    min_z = (std::min(min_z, p.z()));
+    max_z = (std::max(max_z, p.z()));
+    ++ nb;
+  }
+
+  Point_3 scan_position (mean_x / nb, mean_y / nb,
+                         min_z + 10 * (max_z - min_z));
+
+  for (Iterator it = begin; it != end; ++ it)
+  {
+    Vector_3 line_of_sight (get(point_map, *it), scan_position);
+    const Vector_3& normal = get (normal_map, *it);
+    if (line_of_sight * normal < 0)
+      put (normal_map, *it, -normal);
+  }
+}
+
+} // namespace internal
+
+} // namespace Point_set_processing_3
+/// \endcond
+
+// ----------------------------------------------------------------------------
+// Public section
+// ----------------------------------------------------------------------------
+
+template <typename PointRange, typename NamedParameters>
+void lidar_orient_normals (PointRange& points, const NamedParameters& np)
+{
+  using parameters::choose_parameter;
+  using parameters::get_parameter;
+
+  using Iterator = typename PointRange::iterator;
+  using PointMap = typename CGAL::GetPointMap<PointRange, NamedParameters>::type;
+  using NormalMap = typename Point_set_processing_3::GetNormalMap<PointRange, NamedParameters>::type;
+  using Kernel = typename Point_set_processing_3::GetK<PointRange, NamedParameters>::Kernel;
+  using Point_3 = typename Kernel::Point_3;
+  using Vector_3 = typename Kernel::Vector_3;
+  using ScanAngleMap = typename Point_set_processing_3::GetScanAngleMap
+    <PointRange, NamedParameters>::type;
+  using ScanDirectionFlagMap = typename Point_set_processing_3::GetScanDirectionFlag
+    <PointRange, NamedParameters>::type;
+
+  CGAL_static_assertion_msg(!(std::is_same<NormalMap,
+                              typename Point_set_processing_3::GetNormalMap
+                              <PointRange, NamedParameters>::NoMap>::value),
+                            "Error: no normal map");
+
+  using Fallback_scan_angle
+    = Boolean_tag
+    <std::is_same<ScanAngleMap,
+                  typename Point_set_processing_3::GetScanAngleMap
+                  <PointRange, NamedParameters>::NoMap>::value>;
+  using Fallback_scan_direction_flag
+    = Boolean_tag
+    <std::is_same<ScanDirectionFlagMap,
+                  typename Point_set_processing_3::GetScanDirectionFlag
+                  <PointRange, NamedParameters>::NoMap>::value>;
+
+
+  PointMap point_map = choose_parameter<PointMap>(get_parameter(np, internal_np::point_map));
+  NormalMap normal_map = choose_parameter<NormalMap>(get_parameter(np, internal_np::normal_map));
+  ScanAngleMap scan_angle_map = choose_parameter<ScanAngleMap>
+    (get_parameter(np, internal_np::scan_angle));
+  ScanDirectionFlagMap scan_direction_flag_map = choose_parameter<ScanDirectionFlagMap>
+    (get_parameter(np, internal_np::scan_direction_flag));
+
+  std::size_t nb_scanlines = 1;
+
+  Iterator scanline_begin = points.begin();
+  for (Iterator it = points.begin(); it != points.end(); ++ it)
+  {
+    if (Point_set_processing_3::internal::is_end_of_scanline
+        (scanline_begin, it, point_map, scan_direction_flag_map,
+         Fallback_scan_direction_flag()))
+    {
+      Point_set_processing_3::internal::orient_scanline
+        (scanline_begin, it, point_map, normal_map,
+         scan_direction_flag_map, scan_angle_map,
+         Fallback_scan_direction_flag(), Fallback_scan_angle());
+
+      scanline_begin = it;
+      ++ nb_scanlines;
+    }
+  }
+
+  Point_set_processing_3::internal::orient_scanline
+    (scanline_begin, points.end(), point_map, normal_map,
+     scan_direction_flag_map, scan_angle_map,
+     Fallback_scan_direction_flag(), Fallback_scan_angle());
+
+  std::cerr << nb_scanlines << " scanline(s) identified (mean length = "
+            << std::size_t(points.size() / double(nb_scanlines))
+            << " point(s))" << std::endl;
+}
+
+template <typename PointRange>
+void lidar_orient_normals (PointRange& points)
+{
+  return lidar_orient_normals (points,
+                               CGAL::Point_set_processing_3::parameters::all_default(points));
+}
+
+} // namespace CGAL
+
+
+#endif // CGAL_LIDAR_ORIENT_NORMALS_H