Merge remote-tracking branch 'cgal/master' into Demo-T3_item-mgimeno

2021-09-02 14:56:07 +02:00 · 2021-09-02 14:56:07 +02:00 · 08508ff1fc
parent 77c9ac05be b7c80c02fe
commit 08508ff1fc
68 changed files with 10688 additions and 135 deletions
--- a/.github/workflows/filter_testsuite.yml
+++ b/.github/workflows/filter_testsuite.yml
@ -6,7 +6,7 @@ on:

 jobs:
  build:
-    if: github.event.comment.user.login == 'maxGimeno' && contains(github.event.comment.body, '/testme')
+    if: (github.event.comment.user.login == 'sloriot' || github.event.comment.user.login == 'lrineau') && contains(github.event.comment.body, '/testme')
    runs-on: ubuntu-latest
    steps:
      - uses: actions/github-script@v3
@ -61,7 +61,7 @@ jobs:
        uses: actions/github-script@v3
        with:
          script: |
-            const address = "The testsuite is lauched. results will be found, after it is done, here : https://cgal.geometryfactory.com/~mgimeno/test_suite/TESTRESULTS/index.shtml "
+            const address = "The testsuite is lauched. results will be found, after it is done, here : https://cgal.geometryfactory.com/~cgaltest/test_suite/TESTRESULTS/index.shtml "
            github.issues.createComment({
              owner: "CGAL",
              repo: "cgal",
--- a/BGL/test/BGL/test_deprecated_io.cpp
+++ b/BGL/test/BGL/test_deprecated_io.cpp
@ -1,4 +1,5 @@
 #include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
+
 #include <fstream>
 #include <iostream>
 #include <CGAL/Surface_mesh.h>
--- a/Documentation/doc/Documentation/Developer_manual/Chapter_code_format.txt
+++ b/Documentation/doc/Documentation/Developer_manual/Chapter_code_format.txt
@ -206,9 +206,8 @@ functor followed by the suffix `_object`.For example, the function that returns
      all the platforms the library supports.  In particular, it should not
      contain the characters ':', '*', or ' '.
 <LI>Internal header files - which are not documented to the user - should
-      have <TT>/internal/</TT> as a directory higher up in their hierarchy.
-      For example <TT>CGAL/internal/foo.h</TT> or
-      <TT>CGAL/Package/internal/predicates/my_pred.h</TT>.
+      have <TT>Package/internal/</TT> as a directory higher up in their hierarchy.
+      For example <TT>CGAL/Triangulation_2/internal/predicates/my_pred.h</TT>.
 </UL>

 \section secprogramming_conventions Programming conventions
--- a/GraphicsView/include/CGAL/Basic_shaders.h
+++ b/GraphicsView/include/CGAL/Basic_shaders.h
@ -176,17 +176,17 @@ void main(void)
 //  compatibility shaders

 const char vertex_source_color_comp[]=R"DELIM(
-in highp vec4 vertex;
-in highp vec3 normal;
-in highp vec3 color;
+varying highp vec4 vertex;
+varying highp vec3 normal;
+varying highp vec3 color;

 uniform highp mat4 mvp_matrix;
 uniform highp mat4 mv_matrix;
 uniform highp float point_size;

-out highp vec4 fP;
-out highp vec3 fN;
-out highp vec4 fColor;
+varying highp vec4 fP;
+varying highp vec3 fN;
+varying highp vec4 fColor;

 void main(void)
 {
@ -204,9 +204,9 @@ void main(void)
 )DELIM";

 const char fragment_source_color_comp[]=R"DELIM(
-in highp vec4 fP;
-in highp vec3 fN;
-in highp vec4 fColor;
+varying highp vec4 fP;
+varying highp vec3 fN;
+varying highp vec4 fColor;

 uniform highp vec4 light_pos;
 uniform highp vec4 light_diff;
@ -214,8 +214,6 @@ uniform highp vec4 light_spec;
 uniform highp vec4 light_amb;
 uniform highp float spec_power ;

-out highp vec4 out_color;
-
 void main(void)
 {
  highp vec3 L = light_pos.xyz - fP.xyz;
@ -229,18 +227,18 @@ void main(void)
  highp vec4 diffuse = max(dot(N,L), 0.0) * light_diff * fColor;
  highp vec4 specular = pow(max(dot(R,V), 0.0), spec_power) * light_spec;

-  out_color = light_amb*fColor + diffuse;
+  gl_FragColor = light_amb*fColor + diffuse;
 }
 )DELIM";

 const char vertex_source_p_l_comp[]=R"DELIM(
-in highp vec4 vertex;
-in highp vec3 color;
+varying highp vec4 vertex;
+varying highp vec3 color;

 uniform highp mat4 mvp_matrix;
 uniform highp float point_size;

-out highp vec4 fColor;
+varying highp vec4 fColor;

 void main(void)
 {
@ -251,11 +249,10 @@ void main(void)
 )DELIM";

 const char fragment_source_p_l_comp[]=R"DELIM(
-in highp vec4 fColor;
-out highp vec4 out_color;
+varying highp vec4 fColor;
 void main(void)
 {
-  out_color = fColor;
+  gl_FragColor = fColor;
 }
 )DELIM";

--- a/GraphicsView/include/CGAL/Buffer_for_vao.h
+++ b/GraphicsView/include/CGAL/Buffer_for_vao.h
@ -15,7 +15,7 @@

 #include <CGAL/license/GraphicsView.h>

-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
@ -887,7 +887,7 @@ protected:
    bool is_process;
  };

-  typedef CGAL::Triangulation_2_projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
+  typedef CGAL::Projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
  typedef CGAL::Triangulation_vertex_base_with_info_2<Vertex_info, P_traits> Vb;
  typedef CGAL::Triangulation_face_base_with_info_2<Face_info, P_traits>     Fb1;
  typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
--- a/Installation/CHANGES.md
+++ b/Installation/CHANGES.md
@ -39,6 +39,8 @@ Release date: December 2021
 -   Added `construct_centroid_2_object()` and `compute_determinant_2_object()` in `Projection_traits_xy_3`, `Projection_traits_xz_3`,
    and`Projection_traits_yz_3` classes.

+-   Added documentation for the class `Projection_traits_3`, which enables the use of 2D algorithms on the projections of 3D data onto an arbitrary plane.
+
 ### [Polygon Mesh Processing](https://doc.cgal.org/5.4/Manual/packages.html#PkgPolygonMeshProcessing)

 -   Added the function `CGAL::Polygon_mesh_processing::match_faces()`, which, given two polygon meshes,
--- a/Installation/LICENSE
+++ b/Installation/LICENSE
@ -18,7 +18,6 @@ and LICENSE.LGPL.
 The following files are modified versions taken from Boost and are licensed
 under the Boost Software License (see LICENSE.BSL).
 - include/CGAL/auto_link/auto_link.h
- include/CGAL/internal/container_fwd_fixed.hpp
 - include/CGAL/STL_Extension/internal/boost/array_binary_tree.hpp
 - include/CGAL/STL_Extension/internal/boost/mutable_heap.hpp
 - include/CGAL/STL_Extension/internal/boost/mutable_queue.hpp
--- a/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_3.h
+++ b/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_3.h
@ -0,0 +1,51 @@
+namespace CGAL{
+
+/*!
+\ingroup kernel_classes
+
+The class `Projection_traits_3` works similarly to the `Projection_traits_xy_3`,
+`Projection_traits_xz_3`, and `Projection_traits_yz_3` traits classes, enabling
+the use of 2D algorithms on the projections of 3D data onto an arbitrary plane.
+
+\tparam K must be a model of `Kernel`
+
+\note Internal constructions (projections) are used in the predicate and
+construction functors of this class. If `K` is a model of `Kernel` providing exact
+constructions or if `K` is a `CGAL::Filtered_kernel` (such as for
+`CGAL::Exact_predicates_inexact_constructions_kernel`), this class automatically
+provides exact predicates.
+
+\cgalModels `TriangulationTraits_2`
+\cgalModels `DelaunayTriangulationTraits_2`
+\cgalModels `ConstrainedTriangulationTraits_2`
+\cgalModels `PolygonTraits_2`
+
+\sa `CGAL::Projection_traits_xy_3`
+\sa `CGAL::Projection_traits_xz_3`
+\sa `CGAL::Projection_traits_yz_3`
+*/
+template <class K>
+class Projection_traits_3
+{
+public:
+  /// \name Functors
+  /// The functors provided by this class are those listed in the
+  /// concepts. The functors operate on the 2D projections of their
+  /// arguments. They come with preconditions that projections of the
+  /// arguments are non-degenerate, e.g. a line segment does not project
+  /// on a single point, two points do not project onto the same point, etc.
+
+  /// \name Creation
+  ///@{
+
+  /*!
+   * \brief Constructor
+   *
+   * \param normal a vector orthogonal to the projection plane.
+   */
+  Projection_traits_3(const typename K::Vector_3& normal);
+
+  ///@}
+};
+
+} // end namespace CGAL
--- a/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h
+++ b/Kernel_23/doc/Kernel_23/CGAL/Projection_traits_xy_3.h
@ -13,12 +13,13 @@ deal with projections on the
 `zx`- and the `zy`-plane,
 respectively.

-\cgalHeading{Parameters}
+\tparam K must be a model of `Kernel`.

-The template parameter `K` has to
-be instantiated by a model of the `Kernel` concept.
-`Projection_traits_xy_3` uses types
-and predicates defined in `K`.
+\note Internal constructions (projections) are used in the predicate and
+construction functors of this class. If `K` is a model of `Kernel` providing exact
+constructions or if `K` is a `CGAL::Filtered_kernel` (such as for
+`CGAL::Exact_predicates_inexact_constructions_kernel`), this class automatically
+provides exact predicates.

 \cgalModels The class is a model of several 2D triangulation traits class concepts,
  except that it does not provide the type and constructors
@ -33,6 +34,7 @@ and predicates defined in `K`.
 \cgalModels `AnalyticWeightTraits_2`
 \cgalModels `BarycentricTraits_2`

+\sa `CGAL::Projection_traits_3`
 */
 template< typename K >
 class Projection_traits_xy_3 {
--- a/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
+++ b/Kernel_23/doc/Kernel_23/Concepts/FunctionObjectConcepts.h
@ -8898,7 +8898,7 @@ public:

  /*!
    returns true iff the \f$ x\f$-coordinate of `p` is smaller than the
-    \f$ x\f$-coordinate of `q` or if the are the same and
+    \f$ x\f$-coordinate of `q` or if they are the same and
    the \f$ y\f$-coordinate of `p` is smaller than the \f$ y\f$-coordinate of `q`, or,
    if both \f$ x\f$- and \f$ y\f$- coordinate are identical and
    the \f$ z\f$-coordinate of `p` is smaller than the \f$ z\f$-coordinate of `q`.
@ -8928,7 +8928,7 @@ public:

  /*!
    returns true iff the \f$ x\f$-coordinate of `p` is smaller than the
-    \f$ x\f$-coordinate of `q` or if the are the same and
+    \f$ x\f$-coordinate of `q` or if they are the same and
    the \f$ y\f$-coordinate of `p` is smaller than the \f$ y\f$-coordinate of `q`.
  */
  bool operator()(const Kernel::Point_2&p,
@ -8957,7 +8957,7 @@ public:

  /*!
    returns true iff the \f$ x\f$-coordinate of `p` is smaller than the
-    \f$ x\f$-coordinate of `q` or if the are the same and
+    \f$ x\f$-coordinate of `q` or if they are the same and
    the \f$ y\f$-coordinate of `p` is smaller than the \f$ y\f$-coordinate of `q`.
  */
  bool operator()(const Kernel::Point_3&p,
@ -9040,7 +9040,7 @@ public:

  /*!
    returns true iff the \f$ y\f$-coordinate of `p` is smaller than the
-    \f$ y\f$-coordinate of `q` or if the are the same and
+    \f$ y\f$-coordinate of `q` or if they are the same and
    the \f$ x\f$-coordinate of `p` is smaller than the \f$ x\f$-coordinate of `q`.
  */
  bool operator()(const Kernel::Point_2&p,
--- a/Kernel_23/doc/Kernel_23/Doxyfile.in
+++ b/Kernel_23/doc/Kernel_23/Doxyfile.in
@ -2,3 +2,4 @@

 PROJECT_NAME = "CGAL ${CGAL_DOC_VERSION} - 2D and 3D Linear Geometry Kernel"
 EXAMPLE_PATH              +=  ${CGAL_Filtered_kernel_EXAMPLE_DIR}
+EXAMPLE_PATH              +=  ${CGAL_Triangulation_2_EXAMPLE_DIR}
--- a/Kernel_23/doc/Kernel_23/PackageDescription.txt
+++ b/Kernel_23/doc/Kernel_23/PackageDescription.txt
@ -71,6 +71,7 @@
 - `CGAL::Simple_cartesian<FieldNumberType>`
 - `CGAL::Simple_homogeneous<RingNumberType>`
 - `CGAL::Projection_traits_xy_3<K>`
+- `CGAL::Projection_traits_3<K>`

 \cgalCRPSection{Predefined Kernels}

--- a/Kernel_23/doc/Kernel_23/examples.txt
+++ b/Kernel_23/doc/Kernel_23/examples.txt
@ -13,4 +13,5 @@
 \example Kernel_23/points_and_segment.cpp
 \example Kernel_23/surprising.cpp
 \example Kernel_23/exact.cpp
+\example Triangulation_2/triangulation_projection_traits.cpp
 */
--- a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_filtered_projection_traits_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_filtered_projection_traits_3.h
@ -5,30 +5,27 @@
 //
 // $URL$
 // $Id$
-// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
+// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
 //
 //
 // Author(s)     : Laurent Rineau


-#ifndef CGAL_INTERNAL_TRIANGULATION_2_FILTERED_PROJECTION_TRAITS_3_H
-#define CGAL_INTERNAL_TRIANGULATION_2_FILTERED_PROJECTION_TRAITS_3_H
+#ifndef CGAL_INTERNAL_FILTERED_PROJECTION_TRAITS_3_H
+#define CGAL_INTERNAL_FILTERED_PROJECTION_TRAITS_3_H

-#include <CGAL/license/Triangulation_2.h>
-
-
-#include <CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h>
+#include <CGAL/Kernel_23/internal/Projection_traits_base_3.h>
 #include <CGAL/Filtered_predicate_with_state.h>

 namespace CGAL {

 template < class Filtered_kernel >
-class Triangulation_2_filtered_projection_traits_3
-  : public Triangulation_2_projection_traits_base_3<Filtered_kernel>
+class Filtered_projection_traits_3
+  : public Projection_traits_base_3<Filtered_kernel>
 {
  typedef Filtered_kernel K;
-  typedef Triangulation_2_filtered_projection_traits_3<K> Self;
-  typedef Triangulation_2_projection_traits_base_3<K> Base;
+  typedef Filtered_projection_traits_3<K> Self;
+  typedef Projection_traits_base_3<K> Base;

  typedef typename K::Exact_kernel Exact_kernel;
  typedef typename K::Approximate_kernel Approximate_kernel;
@ -36,11 +33,11 @@ class Triangulation_2_filtered_projection_traits_3
  typedef typename K::C2F C2F;

 public:
-  typedef Triangulation_2_projection_traits_base_3<Exact_kernel> Exact_traits;
-  typedef Triangulation_2_projection_traits_base_3<Approximate_kernel> Filtering_traits;
+  typedef Projection_traits_base_3<Exact_kernel> Exact_traits;
+  typedef Projection_traits_base_3<Approximate_kernel> Filtering_traits;

 public:
-  explicit Triangulation_2_filtered_projection_traits_3(const typename K::Vector_3& n)
+  explicit Filtered_projection_traits_3(const typename K::Vector_3& n)
    : Base(n)
  {
  }
@ -73,9 +70,9 @@ public:
  CGAL_TRIANGULATION_2_PROJ_TRAITS_FILTER_PRED(Compare_y_2,
                                               compare_y_2_object,
                                               base2)
-}; // end class Triangulation_2_projection_traits_base_3<Filtered_kernel>
+}; // end class Projection_traits_base_3<Filtered_kernel>

 } // end namespace CGAL


-#endif // CGAL_INTERNAL_TRIANGULATION_2_FILTERED_PROJECTION_TRAITS_3_H
+#endif // CGAL_INTERNAL_FILTERED_PROJECTION_TRAITS_3_H
--- a/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_3.h
+++ b/Kernel_23/include/CGAL/Kernel_23/internal/Projection_traits_3.h
@ -833,6 +833,8 @@ public:
  }
 };

+// This is for projection traits along a specific canonical plane (xy, yz, xz)
+// The generic class for an arbitrary normal is CGAL::Projection_traits_3<K> (not in `internal`)
 template < class R, int dim >
 class Projection_traits_3 {
 public:
--- a/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2/internal/Triangulation_2_projection_traits_base_3.h
@ -5,17 +5,14 @@
 //
 // $URL$
 // $Id$
-// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
+// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
 //
 //
 // Author(s)     : Laurent Rineau


-#ifndef CGAL_INTERNAL_TRIANGULATION_2_PROJECTION_TRAITS_BASE_3_H
-#define CGAL_INTERNAL_TRIANGULATION_2_PROJECTION_TRAITS_BASE_3_H
-
-#include <CGAL/license/Triangulation_2.h>
-
+#ifndef CGAL_INTERNAL_PROJECTION_TRAITS_BASE_3_H
+#define CGAL_INTERNAL_PROJECTION_TRAITS_BASE_3_H

 #include <CGAL/Profile_timer.h>
 #include <CGAL/intersections.h>
@ -379,9 +376,9 @@ public:


 template < class Kernel >
-class Triangulation_2_projection_traits_base_3
+class Projection_traits_base_3
 {
-  typedef Triangulation_2_projection_traits_base_3<Kernel> Self;
+  typedef Projection_traits_base_3<Kernel> Self;

  typename Kernel::Vector_3 n, b1, b2;

@ -389,7 +386,7 @@ public:
  typedef typename Kernel::Vector_3 Vector_3;


-  explicit Triangulation_2_projection_traits_base_3(const Vector_3& n_)
+  explicit Projection_traits_base_3(const Vector_3& n_)
    : n(n_)
  {
    typedef typename Kernel::FT FT;
@ -589,8 +586,8 @@ public:
    return Projection_to_plan(plane_point, *this);
  }

-}; // end class Triangulation_2_projection_traits_base_3<Kernel>
+}; // end class Projection_traits_base_3<Kernel>

 } // end namespace CGAL

-#endif // CGAL_INTERNAL_TRIANGULATION_2_PROJECTION_TRAITS_BASE_3_H
+#endif // CGAL_INTERNAL_PROJECTION_TRAITS_BASE_3_H
--- a/Kernel_23/include/CGAL/Projection_traits_3.h
+++ b/Kernel_23/include/CGAL/Projection_traits_3.h
@ -0,0 +1,47 @@
+// Copyright (c) 2009  GeometryFactory (France)
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+//
+// $URL$
+// $Id$
+// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
+//
+//
+// Author(s)     : Laurent Rineau
+
+
+#ifndef CGAL_PROJECTION_TRAITS_3_H
+#define CGAL_PROJECTION_TRAITS_3_H
+
+#include <CGAL/Kernel_23/internal/Filtered_projection_traits_3.h>
+
+namespace CGAL {
+
+// This declaration is needed to break the cyclic dependency.
+template < class Filtered_kernel >
+class Filtered_projection_traits_3;
+
+template <class Kernel, bool Has_filtered_predicates=Kernel::Has_filtered_predicates>
+class Projection_traits_3
+  : public Projection_traits_base_3<Kernel>
+{
+public:
+  explicit Projection_traits_3(const typename Kernel::Vector_3& n_)
+    : Projection_traits_base_3<Kernel>(n_)
+  {}
+};
+
+template <class Kernel>
+class Projection_traits_3<Kernel, true>
+  : public Filtered_projection_traits_3<Kernel>
+{
+public:
+  explicit Projection_traits_3(const typename Kernel::Vector_3& n_)
+    : Filtered_projection_traits_3<Kernel>(n_)
+  {}
+};
+
+} // namespace CGAL
+
+#endif // CGAL_PROJECTION_TRAITS_3_H
--- a/Linear_cell_complex/demo/Linear_cell_complex/typedefs.h
+++ b/Linear_cell_complex/demo/Linear_cell_complex/typedefs.h
@ -14,7 +14,7 @@

 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>

-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
@ -178,7 +178,7 @@ struct Face_info {
  bool is_process;
 };

-typedef CGAL::Triangulation_2_projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
+typedef CGAL::Projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
 typedef CGAL::Triangulation_vertex_base_with_info_2<Vertex_info, P_traits> Vb;

 typedef CGAL::Triangulation_face_base_with_info_2<Face_info,P_traits> Fb1;
--- a/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
+++ b/Linear_cell_complex/examples/Linear_cell_complex/basic_viewer.h
@ -22,7 +22,7 @@
 #include <QGLBuffer>
 #include <QOpenGLShaderProgram>

-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
@ -211,7 +211,7 @@ class Basic_viewer : public CGAL::QGLViewer, public QOpenGLFunctions
    bool is_process;
  };

-  typedef CGAL::Triangulation_2_projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
+  typedef CGAL::Projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
  typedef CGAL::Triangulation_vertex_base_with_info_2<Vertex_info, P_traits> Vb;

  typedef CGAL::Triangulation_face_base_with_info_2<Face_info, P_traits> Fb1;
--- a/Mesh_2/test/Mesh_2/test_mesh_projection_traits.cpp
+++ b/Mesh_2/test/Mesh_2/test_mesh_projection_traits.cpp
@ -3,12 +3,12 @@
 #include <CGAL/Delaunay_mesher_2.h>
 #include <CGAL/Delaunay_mesh_face_base_2.h>
 #include <CGAL/Delaunay_mesh_size_criteria_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>

 #include <iostream>

 typedef CGAL::Exact_predicates_inexact_constructions_kernel K1;
-typedef CGAL::Triangulation_2_projection_traits_3<K1> K;
+typedef CGAL::Projection_traits_3<K1> K;
 typedef CGAL::Triangulation_vertex_base_2<K> Vb;
 typedef CGAL::Delaunay_mesh_face_base_2<K> Fb;
 typedef CGAL::Triangulation_data_structure_2<Vb, Fb> Tds;
--- a/Nef_3/include/CGAL/boost/graph/convert_nef_polyhedron_to_polygon_mesh.h
+++ b/Nef_3/include/CGAL/boost/graph/convert_nef_polyhedron_to_polygon_mesh.h
@ -22,7 +22,7 @@
 #include <CGAL/Cartesian_converter.h>
 #include <boost/unordered_map.hpp>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Kernel/global_functions_3.h>
@ -210,8 +210,8 @@ struct Shell_polygons_visitor
    }

    // cases where a cdt is needed
-    typedef typename Nef_polyhedron::Kernel Kernel;
-    typedef Triangulation_2_projection_traits_3<Kernel>            P_traits;
+    typedef typename Nef_polyhedron::Kernel                              Kernel;
+    typedef Projection_traits_3<Kernel>                                  P_traits;
    typedef Triangulation_vertex_base_with_info_2<std::size_t, P_traits> Vb;
    typedef Triangulation_face_base_with_info_2<FaceInfo2,P_traits>     Fbb;
    typedef Constrained_triangulation_face_base_2<P_traits,Fbb>          Fb;
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Corefinement/Visitor.h
@ -23,7 +23,7 @@
 #include <CGAL/Default.h>
 #include <CGAL/boost/graph/Euler_operations.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>

 #include <boost/container/flat_map.hpp>
@ -387,9 +387,9 @@ private:
   typedef Non_manifold_feature_map<TriangleMesh>               NM_features_map;
 // typedef for the CDT
   typedef Intersection_nodes<TriangleMesh, VertexPointMap1, VertexPointMap2,
-            Predicates_on_constructions_needed>                          INodes;
+            Predicates_on_constructions_needed>                              INodes;
   typedef typename INodes::Exact_kernel                                     EK;
-    typedef Triangulation_2_projection_traits_3<EK>                  CDT_traits;
+    typedef Projection_traits_3<EK>                                          CDT_traits;
    typedef Triangulation_vertex_base_with_info_2<Node_id,CDT_traits>        Vb;
    typedef Constrained_triangulation_face_base_2<CDT_traits>                Fb;
    typedef Triangulation_data_structure_2<Vb,Fb>                         TDS_2;
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Hole_filling/Triangulate_hole_polyline.h
@ -28,7 +28,7 @@
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <queue>
 #endif

@ -1374,7 +1374,7 @@ triangulate_hole_polyline_with_cdt(const PointRange& points,
  }

  // Checking the hole simplicity.
-  typedef Triangulation_2_projection_traits_3<Traits> P_traits;
+  typedef CGAL::Projection_traits_3<Traits> P_traits;
  const P_traits p_traits(avg_normal);
  if (!is_simple_2(P.begin(), P.end() - 1, p_traits)) {
    // std::cerr << "WARNING: simplicity, cdt 2 falls back to the original solution!" << std::endl;
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/triangulate_faces.h
@ -24,7 +24,7 @@
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #else
 #include <CGAL/use.h>
 #endif
@ -152,7 +152,7 @@ public:
 #ifndef CGAL_TRIANGULATE_FACES_DO_NOT_USE_CDT2
      if (use_cdt)
      {
-        typedef CGAL::Triangulation_2_projection_traits_3<Traits>   P_traits;
+        typedef CGAL::Projection_traits_3<Traits>   P_traits;
        typedef CGAL::Triangulation_vertex_base_with_info_2<halfedge_descriptor,
                                                            P_traits>        Vb;
        typedef CGAL::Triangulation_face_base_with_info_2<Face_info,
--- a/Polyhedron/demo/Polyhedron/MainWindow.cpp
+++ b/Polyhedron/demo/Polyhedron/MainWindow.cpp
@ -157,6 +157,7 @@ MainWindow::MainWindow(const QStringList &keywords, bool verbose, QWidget* paren
  CGAL::Three::Three::s_mainwindow = this;
  menu_map[ui->menuOperations->title()] = ui->menuOperations;
  this->verbose = verbose;
+  is_locked = false;
  // remove the Load Script menu entry, when the demo has not been compiled with QT_SCRIPT_LIB
 #if !defined(QT_SCRIPT_LIB)
  ui->menuBar->removeAction(ui->actionLoadScript);
@ -167,6 +168,8 @@ MainWindow::MainWindow(const QStringList &keywords, bool verbose, QWidget* paren
  viewer_window = new SubViewer(ui->mdiArea, this, nullptr);
  viewer = viewer_window->viewer;
  CGAL::Three::Three::s_mainviewer = viewer;
+  CGAL::Three::Three::s_mutex = &mutex;
+  CGAL::Three::Three::s_wait_condition = &wait_condition;
  viewer->setObjectName("mainViewer");
  viewer_window->showMaximized();
  viewer_window->setWindowFlags(
@ -682,12 +685,17 @@ bool MainWindow::load_plugin(QString fileName, bool blacklisted)
      bool init2 = initIOPlugin(obj);
      if (!init1 && !init2)
      {
-        //qdebug << "not for this program";
        pluginsStatus_map[name] = QString("Not for this program.");
      }
-      else
-        //qdebug << "success";
+      else{
+#ifdef QT_SCRIPT_LIB
+        QScriptValue objectValue =
+            script_engine->newQObject(obj);
+        script_engine->globalObject().setProperty(obj->objectName(), objectValue);
+        evaluate_script_quiet(QString("plugins.push(%1);").arg(obj->objectName()));
+#endif
        pluginsStatus_map[name] = QString("success");
+      }
    }
    else if(!do_load)
    {
@ -695,7 +703,6 @@ bool MainWindow::load_plugin(QString fileName, bool blacklisted)
      ignored_map[name] = true;
    }
    else{
-      //qdebug << "error: " << qPrintable(loader.errorString());
      pluginsStatus_map[name] = loader.errorString();

    }
@ -826,12 +833,6 @@ bool MainWindow::initPlugin(QObject* obj)
    obj->setParent(this);
    plugin->init(this, this->scene, this);
    plugins << qMakePair(plugin, obj->objectName());
-#ifdef QT_SCRIPT_LIB
-    QScriptValue objectValue =
-        script_engine->newQObject(obj);
-    script_engine->globalObject().setProperty(obj->objectName(), objectValue);
-    evaluate_script_quiet(QString("plugins.push(%1);").arg(obj->objectName()));
-#endif

    Q_FOREACH(QAction* action, plugin->actions()) {
      // If action does not belong to the menus, add it to "Operations" menu
@ -1010,7 +1011,6 @@ void MainWindow::computeViewerBBox(CGAL::qglviewer::Vec& vmin, CGAL::qglviewer::
  const double zmax = bbox.zmax();


-
  vmin = CGAL::qglviewer::Vec(xmin, ymin, zmin);
  vmax= CGAL::qglviewer::Vec(xmax, ymax, zmax);

@ -1287,6 +1287,7 @@ QList<Scene_item*> MainWindow::loadItem(QFileInfo fileinfo,
                         QString("File %1 is not a readable file.")
                         .arg(fileinfo.absoluteFilePath()));
  }
+
  QCursor tmp_cursor(Qt::WaitCursor);
  CGAL::Three::Three::CursorScopeGuard guard(tmp_cursor);
  QList<Scene_item*> result = loader->load(fileinfo, ok, add_to_scene);
@ -2223,6 +2224,7 @@ void MainWindow::on_actionPreferences_triggered()
  QDialog dialog(this);
  Ui::PreferencesDialog prefdiag;
  prefdiag.setupUi(&dialog);
+
  float lineWidth[2];
  if(!viewer->isOpenGL_4_3())
    viewer->glGetFloatv(GL_LINE_WIDTH_RANGE, lineWidth);
@ -3398,7 +3400,6 @@ void MainWindow::setupViewer(Viewer* viewer, SubViewer* subviewer)
    viewer->setShareCam(b, session);
  });
 #endif
-
 }

 void MainWindow::on_actionAdd_Viewer_triggered()
@ -3695,6 +3696,47 @@ void MainWindow::on_action_Save_triggered()
  }
 }

+void MainWindow::test_all_actions()
+{
+  int nb_items = scene->numberOfEntries();
+  selectSceneItem(0);
+  Q_FOREACH(PluginNamePair pnp, plugins)
+  {
+    Polyhedron_demo_plugin_interface* plugin = pnp.first;
+    Q_FOREACH(QAction* action, plugin->actions()){
+      if(plugin->applicable(action)){
+        qDebug()<<"Testing "<<pnp.second<<"and "<<action->text()<<" on";
+        qDebug()<<scene->item(scene->mainSelectionIndex())->name()<<"...";
+        action->triggered();
+        getMutex()->lock();
+        if(isLocked())
+        {
+          getMutex()->unlock();
+          getMutex()->lock();
+          getWaitCondition()->wait(getMutex());
+          getMutex()->unlock();
+          //get the "done event" that add items after the meshing thread is finished to execute before we start the next action.
+          QCoreApplication::processEvents();
+        }
+        getMutex()->unlock();
+        while(scene->numberOfEntries() > nb_items)
+        {
+          scene->erase(nb_items);
+        }
+        selectSceneItem(0);
+        //if the item is hidden, the scene's bbox is 0 and that badly
+        //messes with the offset meshing, for example.
+        scene->item(scene->mainSelectionIndex())->setVisible(true);
+        reloadItem();
+        selectSceneItem(0);
+      }
+    }
+  }
+  while(scene->numberOfEntries() > 0)
+    scene->erase(0);
+}
+
+
 void MainWindow::on_actionLoad_a_Scene_from_a_Script_File_triggered()
 {
  bool do_download = false;
--- a/Polyhedron/demo/Polyhedron/MainWindow.h
+++ b/Polyhedron/demo/Polyhedron/MainWindow.h
@ -20,6 +20,8 @@
 #include <QModelIndex>
 #include <QMdiSubWindow>
 #include <QLineEdit>
+#include <QMutex>
+#include <QWaitCondition>

 class Scene;
 class Viewer;
@ -95,6 +97,7 @@ public:
                                            CGAL::Three::Polyhedron_demo_io_plugin_interface*,
                                            bool& ok,
                                            bool add_to_scene=true);
+
  void computeViewerBBox(CGAL::qglviewer::Vec &vmin, CGAL::qglviewer::Vec &vmax);
  void updateViewerBbox(Viewer* vi, bool recenter, CGAL::qglviewer::Vec min,
                        CGAL::qglviewer::Vec max);
@ -446,6 +449,8 @@ public:
  //! Calls evaluate_script(script, filename, true).
  void evaluate_script_quiet(QString script,
                             const QString & fileName = QString());
+  QMutex mutex;
+  QWaitCondition wait_condition;
 #endif
 public Q_SLOTS:
  void on_actionSa_ve_Scene_as_Script_triggered();
@ -453,6 +458,7 @@ public Q_SLOTS:
  void toggleFullScreen();
  void setDefaultSaveDir();
  void invalidate_bbox(bool do_recenter);
+  void test_all_actions();
 private:
  SubViewer* viewer_window;
  QList<QDockWidget *> visibleDockWidgets;
@ -470,6 +476,7 @@ private Q_SLOTS:
  void recenterViewer();

 private:
+  bool is_locked;
  QMap<QAction*, QMenu*> action_menu_map;
 };

--- a/Polyhedron/demo/Polyhedron/Plugins/AABB_tree/Cut_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/AABB_tree/Cut_plugin.cpp
@ -249,6 +249,8 @@ public:
    m_red_ramp.build_red();
    m_blue_ramp.build_blue();
    m_thermal_ramp.build_thermal();
+    facet_sm_trees = nullptr;
+    edge_sm_trees = nullptr;
    setTriangleContainer(1, new Tc(Vi::PROGRAM_NO_SELECTION, false));
    setTriangleContainer(0, new Tc(Vi::PROGRAM_WITH_TEXTURE, false));
    setEdgeContainer(0, new Ec(Vi::PROGRAM_NO_SELECTION, false));
--- a/Polyhedron/demo/Polyhedron/Plugins/IO/CMakeLists.txt
+++ b/Polyhedron/demo/Polyhedron/Plugins/IO/CMakeLists.txt
@ -134,8 +134,8 @@ if(3MF_LIBRARIES
   AND 3MF_INCLUDE_DIR
   AND EXISTS "${3MF_INCLUDE_DIR}/Model/COM/NMR_DLLInterfaces.h")
  include_directories(${3MF_INCLUDE_DIR})
-  polyhedron_demo_plugin(3mf_io_plugin 3mf_io_plugin KEYWORDS Viewer PMP)
-  target_link_libraries(3mf_io_plugin PRIVATE scene_surface_mesh_item scene_points_with_normal_item scene_polylines_item ${3MF_LIBRARIES})
+  polyhedron_demo_plugin(io_3mf_plugin 3mf_io_plugin KEYWORDS Viewer PMP)
+  target_link_libraries(io_3mf_plugin PRIVATE scene_surface_mesh_item scene_points_with_normal_item scene_polylines_item ${3MF_LIBRARIES})
  target_compile_definitions(3mf_io_plugin PRIVATE -DCGAL_LINKED_WITH_3MF)
 else()
  message(
--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/C3t3_io_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/C3t3_io_plugin.cpp
@ -131,12 +131,13 @@ Polyhedron_demo_c3t3_binary_io_plugin::load(

      if(CGAL::build_triangulation_from_file<C3t3::Triangulation, true>(in, item->c3t3().triangulation(), true))
      {
-        item->c3t3().rescan_after_load_of_triangulation();
+        item->c3t3().rescan_after_load_of_triangulation(); //fix counters for facets and cells
        for( C3t3::Triangulation::Finite_cells_iterator
             cit = item->c3t3().triangulation().finite_cells_begin();
             cit != item->c3t3().triangulation().finite_cells_end();
             ++cit)
        {
+            CGAL_assertion(cit->subdomain_index() >= 0);
            if(cit->subdomain_index() != C3t3::Triangulation::Cell::Subdomain_index())
              item->c3t3().add_to_complex(cit, cit->subdomain_index());
            for(int i=0; i < 4; ++i)
--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_3_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_3_plugin.cpp
@ -8,7 +8,6 @@

 #include <QObject>
 #include <QAction>
-#include <QMainWindow>
 #include <QApplication>
 #include <QtPlugin>
 #include "Scene_c3t3_item.h"
@ -335,6 +334,9 @@ boost::optional<QString> Mesh_3_plugin::get_items_or_return_error_string() const
  features_protection_available = false;
  if (auto poly_items = get<Polyhedral_mesh_items>(&*items)) {
    auto& sm_items = poly_items->sm_items;
+    if(sm_items.empty()) {
+      return tr("ERROR: there must be at least one surface mesh item.");
+    }
    for (auto sm_item : sm_items) {
      if (nullptr == sm_item->polyhedron()) {
        return tr("ERROR: no data in selected item %1").arg(sm_item->name());
@ -727,6 +729,10 @@ void Mesh_3_plugin::mesh_3(const Mesh_type mesh_type,
  // Launch thread
  source_item_ = item;
  source_item_name_ = item_name;
+  CGAL::Three::Three::getMutex()->lock();
+  CGAL::Three::Three::isLocked() = true;
+  CGAL::Three::Three::getMutex()->unlock();
+
  launch_thread(thread);

  QApplication::restoreOverrideCursor();
@ -869,6 +875,9 @@ treat_result(Scene_item& source_item,
    scene->setSelectedItem(new_item_id);
    delete result_item;
  }
+  CGAL::Three::Three::getMutex()->lock();
+  CGAL::Three::Three::isLocked() = false;
+  CGAL::Three::Three::getMutex()->unlock();
 }

 #include "Mesh_3_plugin.moc"
--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Mesh_function.h
@ -330,6 +330,7 @@ launch()

  // Ensure c3t3 is ok (usefull if process has been stop by the user)
  mesher_->fix_c3t3();
+  std::cerr<<"Done."<<std::endl;
 }


--- a/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Meshing_thread.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Mesh_3/Meshing_thread.cpp
@ -57,7 +57,11 @@ run()
  CGAL::Three::Three::CursorScopeGuard guard(Qt::BusyCursor);
  f_->launch();
  time_ = double(timer.elapsed()) / 1000;
+  CGAL::Three::Three::getMutex()->lock();
+  CGAL::Three::Three::getWaitCondition()->wakeAll();
+  CGAL::Three::Three::getMutex()->unlock();
  Q_EMIT done(this);
+
 }


--- a/Polyhedron/demo/Polyhedron/Plugins/PCA/Create_obb_mesh_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/PCA/Create_obb_mesh_plugin.cpp
@ -36,7 +36,20 @@ public:
  {
    if(scene->mainSelectionIndex() != -1
       && scene->item(scene->mainSelectionIndex())->isFinite())
+    {
+      const Scene_interface::Item_id index = scene->mainSelectionIndex();
+
+      Scene_facegraph_item* item = qobject_cast<Scene_facegraph_item*>(scene->item(index));
+
+      Scene_polyhedron_selection_item* selection_item =
+        qobject_cast<Scene_polyhedron_selection_item*>(scene->item(index));
+
+      Scene_points_with_normal_item* point_set_item =
+        qobject_cast<Scene_points_with_normal_item*>(scene->item(index));
+      if(!item && !selection_item && !point_set_item)
+        return false;
      return true;
+    }
    return false;
  }

--- a/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
+++ b/Polyhedron/demo/Polyhedron/Plugins/Surface_mesh/Offset_meshing_plugin.cpp
@ -391,6 +391,9 @@ public:
                                  approx,
                                  edge_size,
                                  tag_index);
+    CGAL::Three::Three::getMutex()->lock();
+    CGAL::Three::Three::getWaitCondition()->wakeAll();
+    CGAL::Three::Three::getMutex()->unlock();
    Q_EMIT resultReady(new_mesh);
  }
 Q_SIGNALS:
@ -623,6 +626,9 @@ void Polyhedron_demo_offset_meshing_plugin::offset_meshing()
          (SMesh *new_mesh){
    QApplication::restoreOverrideCursor();
    if(!new_mesh){
+      CGAL::Three::Three::getMutex()->lock();
+      CGAL::Three::Three::isLocked() = false;
+      CGAL::Three::Three::getMutex()->unlock();
      return;
    }
    Scene_surface_mesh_item* new_item = new Scene_surface_mesh_item(new_mesh);
@ -637,7 +643,9 @@ void Polyhedron_demo_offset_meshing_plugin::offset_meshing()
    CGAL::Three::Three::scene()->addItem(new_item);
 //    CGAL::Three::Three::scene()->itemChanged(index);
    QApplication::restoreOverrideCursor();
-
+    CGAL::Three::Three::getMutex()->lock();
+    CGAL::Three::Three::isLocked() = false;
+    CGAL::Three::Three::getMutex()->unlock();
  });
  QMessageBox* message_box = new QMessageBox(QMessageBox::NoIcon,
                                             "Meshing",
@ -659,6 +667,9 @@ void Polyhedron_demo_offset_meshing_plugin::offset_meshing()
  message_box->open();

  QApplication::setOverrideCursor(Qt::BusyCursor);
+  CGAL::Three::Three::getMutex()->lock();
+  CGAL::Three::Three::isLocked() = true;
+  CGAL::Three::Three::getMutex()->unlock();
  worker->start();
 }

--- a/Polyhedron/demo/Polyhedron/Scene.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene.cpp
@ -171,6 +171,9 @@ Scene::replaceItem(Scene::Item_id index, CGAL::Three::Scene_item* item, bool emi
 Scene::Item_id
 Scene::erase(Scene::Item_id index)
 {
+  if(index <0 || index >= numberOfEntries())
+    return -1;
+
  CGAL::Three::Scene_item* item = m_entries[index];
  if(qobject_cast<Scene_group_item*>(item))
  {
@ -184,8 +187,6 @@ Scene::erase(Scene::Item_id index)
  //clears the Scene_view
  clear();
  index_map.clear();
-  if(index < 0 || index >= m_entries.size())
-    return -1;
  if(item->parentGroup())
    item->parentGroup()->removeChild(item);

@ -193,7 +194,7 @@ Scene::erase(Scene::Item_id index)
  Item_id removed_item = item_id(item);
  children.removeAll(removed_item);
  indexErased(removed_item);
-    m_entries.removeAll(item);
+  m_entries.removeAll(item);
  Q_EMIT itemAboutToBeDestroyed(item);
  item->aboutToBeDestroyed();
  item->deleteLater();
--- a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
@ -351,7 +351,6 @@ void Scene_c3t3_item::computeElements()const
        Ec::Vertices,
        d->positions_lines_not_in_complex.data(),
        static_cast<int>(d->positions_lines_not_in_complex.size()*sizeof(float)));
-
  d->positions_lines_not_in_complex_size = d->positions_lines_not_in_complex.size();
  QApplication::restoreOverrideCursor();
 }
--- a/Polyhedron/demo/Polyhedron/Scene_lcc_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_lcc_item.cpp
@ -154,7 +154,7 @@ struct lcc_priv{
        bool is_process;
      };

-      typedef CGAL::Triangulation_2_projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
+      typedef CGAL::Projection_traits_3<CGAL::Exact_predicates_inexact_constructions_kernel> P_traits;
      typedef CGAL::Triangulation_vertex_base_with_info_2<Vertex_info, P_traits> Vb;
      typedef CGAL::Triangulation_face_base_with_info_2<Face_info, P_traits>     Fb1;
      typedef CGAL::Constrained_triangulation_face_base_2<P_traits, Fb1>         Fb;
--- a/Polyhedron/demo/Polyhedron/Scene_nef_polyhedron_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_nef_polyhedron_item.cpp
@ -18,7 +18,7 @@
 #include <CGAL/minkowski_sum_3.h>
 #include <CGAL/convex_decomposition_3.h>

-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/boost/graph/convert_nef_polyhedron_to_polygon_mesh.h>
@ -33,7 +33,7 @@ typedef Point_container Pc;

 typedef Nef_polyhedron::Traits Traits;
 typedef Nef_polyhedron::Halffacet Facet;
-typedef CGAL::Triangulation_2_projection_traits_3<Traits>   P_traits;
+typedef CGAL::Projection_traits_3<Traits>   P_traits;
 typedef Nef_polyhedron::Halfedge_const_handle Halfedge_handle;
 struct Face_info {
    Nef_polyhedron::Halfedge_const_handle e[3];
--- a/Polyhedron/demo/Polyhedron/Three.cpp
+++ b/Polyhedron/demo/Polyhedron/Three.cpp
@ -20,6 +20,19 @@ RenderingMode Three::s_defaultPSRM;
 int Three::default_point_size;
 int Three::default_normal_length;
 int Three::default_lines_width;
+bool Three::s_is_locked;
+QMutex* Three::s_mutex;
+QWaitCondition* Three::s_wait_condition;
+
+QWaitCondition* Three::getWaitCondition()
+{
+  return s_wait_condition;
+}
+
+QMutex* Three::getMutex()
+{
+  return s_mutex;
+}

 QMainWindow* Three::mainWindow()
 {
@ -255,3 +268,9 @@ int Three::getDefaultLinesWidth()
 {
  return default_lines_width;
 }
+
+bool& Three::isLocked()
+{
+  return s_is_locked;
+}
+
--- a/Polyhedron/demo/Polyhedron/testing/data/camera.camera.txt
+++ b/Polyhedron/demo/Polyhedron/testing/data/camera.camera.txt
@ -0,0 +1,2 @@
+Camera Position #1
+2.04042 1.01995 -0.0620027 -0.103774 0.709095 0.218219 0.662416
--- a/Polyhedron/demo/Polyhedron/testing/data/itema.off
+++ b/Polyhedron/demo/Polyhedron/testing/data/itema.off
@ -0,0 +1,22 @@
+OFF
+8 12 0
+-1 -1 -1
+-1 1 -1
+1 1 -1
+1 -1 -1
+-1 -1 1
+-1 1 1
+1 1 1
+1 -1 1
+3  0 1 3
+3  3 1 2
+3  0 4 1
+3  1 4 5
+3  3 2 7
+3  7 2 6
+3  4 0 3
+3  7 4 3
+3  6 4 7
+3  6 5 4
+3  1 5 6
+3  2 1 6
--- a/Polyhedron/demo/Polyhedron/testing/data/itemb.off
+++ b/Polyhedron/demo/Polyhedron/testing/data/itemb.off
@ -0,0 +1,484 @@
+OFF
+162 320 0
+-0.98258084058761597 0.48410347104072571 0.03261265903711319
+-0.53538084030151367 0.20770347118377686 0.03261265903711319
+-0.84438085556030273 0.20770347118377686 -0.39273735880851746
+-1.3443808555603027 0.20770347118377686 -0.23023733496665955
+-1.3443808555603027 0.20770347118377686 0.29546263813972473
+-0.84438085556030273 0.20770347118377686 0.45796266198158264
+-0.6207808256149292 -0.23949652910232544 -0.23023733496665955
+-1.1207808256149292 -0.23949652910232544 -0.39273735880851746
+-1.4297808408737183 -0.23949652910232544 0.03261265903711319
+-1.1207808256149292 -0.23949652910232544 0.45796266198158264
+-0.6207808256149292 -0.23949652910232544 0.29546263813972473
+-0.98258084058761597 -0.5158964991569519 0.03261265903711319
+-0.84593081474304199 0.46505346894264221 0.03261265903711319
+-0.71973085403442383 0.40945348143577576 0.03261265903711319
+-0.61348080635070801 0.32140347361564636 0.03261265903711319
+-0.94036084413528442 0.46505346894264221 -0.097337342798709869
+-0.90133082866668701 0.40945348143577576 -0.21738734841346741
+-0.86853086948394775 0.32140347361564636 -0.31838735938072205
+-1.0931308269500732 0.46505346894264221 -0.047687344253063202
+-1.1952308416366577 0.40945348143577576 -0.12188733369112015
+-1.2811808586120605 0.32140347361564636 -0.18433734774589539
+-1.0931308269500732 0.46505346894264221 0.11291266232728958
+-1.1952308416366577 0.40945348143577576 0.18711265921592712
+-1.2811808586120605 0.32140347361564636 0.24956265091896057
+-0.94036084413528442 0.46505346894264221 0.16256266832351685
+-0.90133082866668701 0.40945348143577576 0.28261265158653259
+-0.86853086948394775 0.32140347361564636 0.38361266255378723
+-0.571280837059021 0.23695346713066101 -0.097337342798709869
+-0.63848084211349487 0.24695345759391785 -0.21738734841346741
+-0.73188084363937378 0.23695346713066101 -0.31838735938072205
+-0.97906535863876343 0.23695346713066101 -0.3987373411655426
+-1.1140308380126953 0.24695345759391785 -0.37188735604286194
+-1.238980770111084 0.23695346713066101 -0.31428733468055725
+-1.391730785369873 0.23695346713066101 -0.1040373370051384
+-1.407930850982666 0.24695345759391785 0.03261265903711319
+-1.391730785369873 0.23695346713066101 0.16926264762878418
+-1.238980770111084 0.23695346713066101 0.37951263785362244
+-1.1140308380126953 0.24695345759391785 0.43711265921592712
+-0.97906482219696045 0.23695346713066101 0.46396264433860779
+-0.73188084363937378 0.23695346713066101 0.38361266255378723
+-0.63848084211349487 0.24695345759391785 0.28261265158653259
+-0.571280837059021 0.23695346713066101 0.16256266832351685
+-0.50293087959289551 0.10035347193479538 -0.047687344253063202
+-0.50703084468841553 -0.015896527096629143 -0.12188733369112015
+-0.54733085632324219 -0.13214652240276337 -0.18433734774589539
+-0.91073083877563477 0.10035347193479538 -0.44833734631538391
+-0.98258084058761597 -0.015896527096629143 -0.46738734841346741
+-1.0544308423995972 -0.13214652240276337 -0.44833734631538391
+-1.4178308248519897 0.10035347193479538 -0.18433734774589539
+-1.4581308364868164 -0.015896527096629143 -0.12188733369112015
+-1.4622308015823364 -0.13214652240276337 -0.047687344253063202
+-1.3233808279037476 0.10035347193479538 0.37951263785362244
+-1.2764809131622314 -0.015896527096629143 0.43711265921592712
+-1.2071808576583862 -0.13214652240276337 0.46396264433860779
+-0.7579808235168457 0.10035347193479538 0.46396264433860779
+-0.68868082761764526 -0.015896527096629143 0.43711265921592712
+-0.64178085327148438 -0.13214652240276337 0.37951263785362244
+-0.50293087959289551 0.10035347193479538 0.11291266232728958
+-0.50703084468841553 -0.015896527096629143 0.18711265921592712
+-0.54733085632324219 -0.13214652240276337 0.24956265091896057
+-0.7579808235168457 0.10035347193479538 -0.3987373411655426
+-0.68868082761764526 -0.015896527096629143 -0.37188735604286194
+-0.64178085327148438 -0.13214652240276337 -0.31428733468055725
+-1.3233808279037476 0.10035347193479538 -0.31428733468055725
+-1.2764809131622314 -0.015896527096629143 -0.37188735604286194
+-1.2071808576583862 -0.13214652240276337 -0.3987373411655426
+-1.4178308248519897 0.10035347193479538 0.24956265091896057
+-1.4581308364868164 -0.015896527096629143 0.18711265921592712
+-1.4622308015823364 -0.13214652240276337 0.11291266232728958
+-0.91073083877563477 0.10035347193479538 0.51356267929077148
+-0.98258084058761597 -0.015896527096629143 0.53261268138885498
+-1.0544308423995972 -0.13214652240276337 0.51356267929077148
+-0.72618085145950317 -0.26874652504920959 -0.31428733468055725
+-0.85113084316253662 -0.27874651551246643 -0.37188735604286194
+-0.98609632253646851 -0.26874652504920959 -0.3987373411655426
+-1.2332808971405029 -0.26874652504920959 -0.31838735938072205
+-1.3266808986663818 -0.27874651551246643 -0.21738734841346741
+-1.3938808441162109 -0.26874652504920959 -0.097337342798709869
+-1.3938808441162109 -0.26874652504920959 0.16256266832351685
+-1.3266808986663818 -0.27874651551246643 0.28261265158653259
+-1.2332808971405029 -0.26874652504920959 0.38361266255378723
+-0.98609632253646851 -0.26874652504920959 0.46396264433860779
+-0.85113084316253662 -0.27874651551246643 0.43711265921592712
+-0.72618085145950317 -0.26874652504920959 0.37951263785362244
+-0.57343083620071411 -0.26874652504920959 0.16926264762878418
+-0.55723083019256592 -0.27874651551246643 0.03261265903711319
+-0.57343083620071411 -0.26874652504920959 -0.1040373370051384
+-0.87203085422515869 -0.4968465268611908 -0.047687344253063202
+-0.76993083953857422 -0.44124653935432434 -0.12188733369112015
+-0.68398082256317139 -0.35319653153419495 -0.18433734774589539
+-1.0248008966445923 -0.4968465268611908 -0.097337342798709869
+-1.0638308525085449 -0.44124653935432434 -0.21738734841346741
+-1.0966308116912842 -0.35319653153419495 -0.31838735938072205
+-1.1192308664321899 -0.4968465268611908 0.03261265903711319
+-1.2454308271408081 -0.44124653935432434 0.03261265903711319
+-1.3516808748245239 -0.35319653153419495 0.03261265903711319
+-1.0248008966445923 -0.4968465268611908 0.16256266832351685
+-1.0638308525085449 -0.44124653935432434 0.28261265158653259
+-1.0966308116912842 -0.35319653153419495 0.38361266255378723
+-0.87203085422515869 -0.4968465268611908 0.11291266232728958
+-0.76993083953857422 -0.44124653935432434 0.18711265921592712
+-0.68398082256317139 -0.35319653153419495 0.24956265091896057
+-0.80168086290359497 0.431303471326828 -0.098837338387966156
+-0.67363083362579346 0.35430347919464111 -0.099737338721752167
+-0.76123082637786865 0.35430347919464111 -0.22028735280036926
+-1.0516808032989502 0.431303471326828 -0.18003734946250916
+-1.012975811958313 0.35430347919464111 -0.30208733677864075
+-1.1547307968139648 0.35430347919464111 -0.25603735446929932
+-1.2061808109283447 0.431303471326828 0.03261265903711319
+-1.3102807998657227 0.35430347919464111 -0.041887342929840088
+-1.3102807998657227 0.35430347919464111 0.10711266100406647
+-1.0516808032989502 0.431303471326828 0.24526265263557434
+-1.1547307968139648 0.35430347919464111 0.3212626576423645
+-1.012975811958313 0.35430347919464111 0.36731263995170593
+-0.80168086290359497 0.431303471326828 0.16406264901161194
+-0.76123082637786865 0.35430347919464111 0.28551265597343445
+-0.67363083362579346 0.35430347919464111 0.16496264934539795
+-0.48258084058761597 -0.015896527096629143 0.03261265903711319
+-0.50488084554672241 -0.14344653487205505 0.10711266100406647
+-0.50488084554672241 -0.14344653487205505 -0.041887342929840088
+-0.82808083295822144 -0.015896527096629143 -0.44293734431266785
+-0.76408082246780396 -0.14344653487205505 -0.39863735437393188
+-0.90583086013793945 -0.14344653487205505 -0.44473734498023987
+-1.3870809078216553 -0.015896527096629143 -0.26128736138343811
+-1.3252308368682861 -0.14344653487205505 -0.30843734741210938
+-1.4128308296203613 -0.14344653487205505 -0.18788734078407288
+-1.3870809078216553 -0.015896527096629143 0.3265126645565033
+-1.4128308296203613 -0.14344653487205505 0.25311267375946045
+-1.3252308368682861 -0.14344653487205505 0.37366265058517456
+-0.82808083295822144 -0.015896527096629143 0.50816267728805542
+-0.90583086013793945 -0.14344653487205505 0.50996267795562744
+-0.76408082246780396 -0.14344653487205505 0.46386265754699707
+-0.57808083295822144 -0.015896527096629143 -0.26128736138343811
+-0.6399308443069458 0.11165347695350647 -0.30843734741210938
+-0.55233085155487061 0.11165347695350647 -0.18788734078407288
+-1.1370807886123657 -0.015896527096629143 -0.44293734431266785
+-1.2010807991027832 0.11165347695350647 -0.39863735437393188
+-1.0593308210372925 0.11165347695350647 -0.44473734498023987
+-1.4825809001922607 -0.015896527096629143 0.03261265903711319
+-1.4602808952331543 0.11165347695350647 0.10711266100406647
+-1.4602808952331543 0.11165347695350647 -0.041887342929840088
+-1.1370807886123657 -0.015896527096629143 0.50816267728805542
+-1.0593308210372925 0.11165347695350647 0.50996267795562744
+-1.2010807991027832 0.11165347695350647 0.46386265754699707
+-0.57808083295822144 -0.015896527096629143 0.3265126645565033
+-0.55233085155487061 0.11165347695350647 0.25311267375946045
+-0.6399308443069458 0.11165347695350647 0.37366265058517456
+-0.91348081827163696 -0.46309652924537659 -0.18003734946250916
+-0.95218586921691895 -0.3860965371131897 -0.30208733677864075
+-0.81043082475662231 -0.3860965371131897 -0.25603735446929932
+-1.1634808778762817 -0.46309652924537659 -0.098837338387966156
+-1.2915308475494385 -0.3860965371131897 -0.099737338721752167
+-1.2039308547973633 -0.3860965371131897 -0.22028735280036926
+-1.1634808778762817 -0.46309652924537659 0.16406264901161194
+-1.2039308547973633 -0.3860965371131897 0.28551265597343445
+-1.2915308475494385 -0.3860965371131897 0.16496264934539795
+-0.91348081827163696 -0.46309652924537659 0.24526265263557434
+-0.81043082475662231 -0.3860965371131897 0.3212626576423645
+-0.95218586921691895 -0.3860965371131897 0.36731263995170593
+-0.75898087024688721 -0.46309652924537659 0.03261265903711319
+-0.65488088130950928 -0.3860965371131897 -0.041887342929840088
+-0.65488088130950928 -0.3860965371131897 0.10711266100406647
+3 0 12 15
+3 12 13 102
+3 12 102 15
+3 15 102 16
+3 13 14 103
+3 13 103 102
+3 102 103 104
+3 102 104 16
+3 16 104 17
+3 14 1 27
+3 14 27 103
+3 103 27 28
+3 103 28 104
+3 104 28 29
+3 104 29 17
+3 17 29 2
+3 0 15 18
+3 15 16 105
+3 15 105 18
+3 18 105 19
+3 16 17 106
+3 16 106 105
+3 105 106 107
+3 105 107 19
+3 19 107 20
+3 17 2 30
+3 17 30 106
+3 106 30 31
+3 106 31 107
+3 107 31 32
+3 107 32 20
+3 20 32 3
+3 0 18 21
+3 18 19 108
+3 18 108 21
+3 21 108 22
+3 19 20 109
+3 19 109 108
+3 108 109 110
+3 108 110 22
+3 22 110 23
+3 20 3 33
+3 20 33 109
+3 109 33 34
+3 109 34 110
+3 110 34 35
+3 110 35 23
+3 23 35 4
+3 0 21 24
+3 21 22 111
+3 21 111 24
+3 24 111 25
+3 22 23 112
+3 22 112 111
+3 111 112 113
+3 111 113 25
+3 25 113 26
+3 23 4 36
+3 23 36 112
+3 112 36 37
+3 112 37 113
+3 113 37 38
+3 113 38 26
+3 26 38 5
+3 0 24 12
+3 24 25 114
+3 24 114 12
+3 12 114 13
+3 25 26 115
+3 25 115 114
+3 114 115 116
+3 114 116 13
+3 13 116 14
+3 26 5 39
+3 26 39 115
+3 115 39 40
+3 115 40 116
+3 116 40 41
+3 116 41 14
+3 14 41 1
+3 1 57 42
+3 57 58 117
+3 57 117 42
+3 42 117 43
+3 58 59 118
+3 58 118 117
+3 117 118 119
+3 117 119 43
+3 43 119 44
+3 59 10 84
+3 59 84 118
+3 118 84 85
+3 118 85 119
+3 119 85 86
+3 119 86 44
+3 44 86 6
+3 2 60 45
+3 60 61 120
+3 60 120 45
+3 45 120 46
+3 61 62 121
+3 61 121 120
+3 120 121 122
+3 120 122 46
+3 46 122 47
+3 62 6 72
+3 62 72 121
+3 121 72 73
+3 121 73 122
+3 122 73 74
+3 122 74 47
+3 47 74 7
+3 3 63 48
+3 63 64 123
+3 63 123 48
+3 48 123 49
+3 64 65 124
+3 64 124 123
+3 123 124 125
+3 123 125 49
+3 49 125 50
+3 65 7 75
+3 65 75 124
+3 124 75 76
+3 124 76 125
+3 125 76 77
+3 125 77 50
+3 50 77 8
+3 4 66 51
+3 66 67 126
+3 66 126 51
+3 51 126 52
+3 67 68 127
+3 67 127 126
+3 126 127 128
+3 126 128 52
+3 52 128 53
+3 68 8 78
+3 68 78 127
+3 127 78 79
+3 127 79 128
+3 128 79 80
+3 128 80 53
+3 53 80 9
+3 5 69 54
+3 69 70 129
+3 69 129 54
+3 54 129 55
+3 70 71 130
+3 70 130 129
+3 129 130 131
+3 129 131 55
+3 55 131 56
+3 71 9 81
+3 71 81 130
+3 130 81 82
+3 130 82 131
+3 131 82 83
+3 131 83 56
+3 56 83 10
+3 6 62 44
+3 62 61 132
+3 62 132 44
+3 44 132 43
+3 61 60 133
+3 61 133 132
+3 132 133 134
+3 132 134 43
+3 43 134 42
+3 60 2 29
+3 60 29 133
+3 133 29 28
+3 133 28 134
+3 134 28 27
+3 134 27 42
+3 42 27 1
+3 7 65 47
+3 65 64 135
+3 65 135 47
+3 47 135 46
+3 64 63 136
+3 64 136 135
+3 135 136 137
+3 135 137 46
+3 46 137 45
+3 63 3 32
+3 63 32 136
+3 136 32 31
+3 136 31 137
+3 137 31 30
+3 137 30 45
+3 45 30 2
+3 8 68 50
+3 68 67 138
+3 68 138 50
+3 50 138 49
+3 67 66 139
+3 67 139 138
+3 138 139 140
+3 138 140 49
+3 49 140 48
+3 66 4 35
+3 66 35 139
+3 139 35 34
+3 139 34 140
+3 140 34 33
+3 140 33 48
+3 48 33 3
+3 9 71 53
+3 71 70 141
+3 71 141 53
+3 53 141 52
+3 70 69 142
+3 70 142 141
+3 141 142 143
+3 141 143 52
+3 52 143 51
+3 69 5 38
+3 69 38 142
+3 142 38 37
+3 142 37 143
+3 143 37 36
+3 143 36 51
+3 51 36 4
+3 10 59 56
+3 59 58 144
+3 59 144 56
+3 56 144 55
+3 58 57 145
+3 58 145 144
+3 144 145 146
+3 144 146 55
+3 55 146 54
+3 57 1 41
+3 57 41 145
+3 145 41 40
+3 145 40 146
+3 146 40 39
+3 146 39 54
+3 54 39 5
+3 11 90 87
+3 90 91 147
+3 90 147 87
+3 87 147 88
+3 91 92 148
+3 91 148 147
+3 147 148 149
+3 147 149 88
+3 88 149 89
+3 92 7 74
+3 92 74 148
+3 148 74 73
+3 148 73 149
+3 149 73 72
+3 149 72 89
+3 89 72 6
+3 11 93 90
+3 93 94 150
+3 93 150 90
+3 90 150 91
+3 94 95 151
+3 94 151 150
+3 150 151 152
+3 150 152 91
+3 91 152 92
+3 95 8 77
+3 95 77 151
+3 151 77 76
+3 151 76 152
+3 152 76 75
+3 152 75 92
+3 92 75 7
+3 11 96 93
+3 96 97 153
+3 96 153 93
+3 93 153 94
+3 97 98 154
+3 97 154 153
+3 153 154 155
+3 153 155 94
+3 94 155 95
+3 98 9 80
+3 98 80 154
+3 154 80 79
+3 154 79 155
+3 155 79 78
+3 155 78 95
+3 95 78 8
+3 11 99 96
+3 99 100 156
+3 99 156 96
+3 96 156 97
+3 100 101 157
+3 100 157 156
+3 156 157 158
+3 156 158 97
+3 97 158 98
+3 101 10 83
+3 101 83 157
+3 157 83 82
+3 157 82 158
+3 158 82 81
+3 158 81 98
+3 98 81 9
+3 11 87 99
+3 87 88 159
+3 87 159 99
+3 99 159 100
+3 88 89 160
+3 88 160 159
+3 159 160 161
+3 159 161 100
+3 100 161 101
+3 89 6 86
+3 89 86 160
+3 160 86 85
+3 160 85 161
+3 161 85 84
+3 161 84 101
+3 101 84 10
--- a/Polyhedron/demo/Polyhedron/testing/data/mini.surf
+++ b/Polyhedron/demo/Polyhedron/testing/data/mini.surf
@ -0,0 +1,75 @@
+# HyperSurface 0.1 ASCII
+
+Parameters {
+    Materials {
+        Exterior {
+            Color 0.7 0.8 0.8,
+            Id 0
+        }
+        Bubbles {
+            Color 0.7 0.8 0.8,
+            Id 1
+        }
+        Rocks {
+            Color 0.89604 0.915785 0.105821,
+            Id 3
+        }
+        Cement {
+            Color 0.123507 0.926314 0.926314,
+            Id 4
+        }
+ }
+    LocalCoordinateSystem {
+        Default {
+            XAxis 1 0 0,
+            YAxis 0 1 0,
+            ZAxis 0 0 1,
+            Origin 0 0 0
+        }
+    }
+    Units {
+        Coordinates "mm"
+    }
+    BoundaryIds {
+        Name "BoundaryConditions"
+    }
+    GridBox -1 200 -1 200 -1 200,
+    GridSize 202 202 202
+}
+Vertices 4
+	0.0 0.0 0.0
+	0.0 1.0 0.0
+	1.0 0.0 0.0
+	0.0 0.0 1.0
+
+NBranchingPoints 0
+NVerticesOnCurves 0
+BoundaryCurves 0
+Patches 3
+{
+InnerRegion Cement
+OuterRegion Bubbles
+BoundaryID 0
+BranchingPoints 0
+    
+Triangles 1
+1 2 3
+}
+{
+InnerRegion Cement
+OuterRegion Rocks
+BoundaryID 0
+BranchingPoints 0
+    
+Triangles 1
+ 1 3 4
+}
+{
+InnerRegion Cement
+OuterRegion Bubbles
+BoundaryID 0
+BranchingPoints 0
+    
+Triangles 1
+ 1 2 4
+}
--- a/Polyhedron/demo/Polyhedron/testing/data/oni.las
+++ b/Polyhedron/demo/Polyhedron/testing/data/oni.las
--- a/Polyhedron/demo/Polyhedron/testing/data/oni.ply
+++ b/Polyhedron/demo/Polyhedron/testing/data/oni.ply
--- a/Polyhedron/demo/Polyhedron/testing/data/oni.pwn
+++ b/Polyhedron/demo/Polyhedron/testing/data/oni.pwn
--- a/Polyhedron/demo/Polyhedron/testing/data/poly.polylines.txt
+++ b/Polyhedron/demo/Polyhedron/testing/data/poly.polylines.txt
@ -0,0 +1 @@
+5 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.inr
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.inr
@ -0,0 +1,132 @@
+#INRIMAGE-4#{
+XDIM=10
+YDIM=10
+ZDIM=10
+VDIM=1
+TYPE=unsigned fixed
+PIXSIZE=8 bits
+SCALE=2**0
+CPU=decm
+VX=1
+VY=1
+VZ=1
+#GEOMETRY=CARTESIAN
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+##}
+
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.inr.gz
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.inr.gz
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.mesh
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.mesh
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.nef3
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.nef3
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.off
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.off
@ -0,0 +1,486 @@
+OFF
+162 320 0
+
+0 0.5 0
+0.4472 0.2236 0
+0.1382 0.2236 -0.42535
+-0.3618 0.2236 -0.26285
+-0.3618 0.2236 0.26285
+0.1382 0.2236 0.42535
+0.3618 -0.2236 -0.26285
+-0.1382 -0.2236 -0.42535
+-0.4472 -0.2236 0
+-0.1382 -0.2236 0.42535
+0.3618 -0.2236 0.26285
+0 -0.5 0
+0.13665 0.48095 0
+0.26285 0.42535 0
+0.3691 0.3373 0
+0.04222 0.48095 -0.12995
+0.08125 0.42535 -0.25
+0.11405 0.3373 -0.351
+-0.11055 0.48095 -0.0803
+-0.21265 0.42535 -0.1545
+-0.2986 0.3373 -0.21695
+-0.11055 0.48095 0.0803
+-0.21265 0.42535 0.1545
+-0.2986 0.3373 0.21695
+0.04222 0.48095 0.12995
+0.08125 0.42535 0.25
+0.11405 0.3373 0.351
+0.4113 0.25285 -0.12995
+0.3441 0.26285 -0.25
+0.2507 0.25285 -0.351
+0.0035155 0.25285 -0.43135
+-0.13145 0.26285 -0.4045
+-0.2564 0.25285 -0.3469
+-0.40915 0.25285 -0.13665
+-0.42535 0.26285 0
+-0.40915 0.25285 0.13665
+-0.2564 0.25285 0.3469
+-0.13145 0.26285 0.4045
+0.003516 0.25285 0.43135
+0.2507 0.25285 0.351
+0.3441 0.26285 0.25
+0.4113 0.25285 0.12995
+0.47965 0.11625 -0.0803
+0.47555 0 -0.1545
+0.43525 -0.11625 -0.21695
+0.07185 0.11625 -0.48095
+0 0 -0.5
+-0.07185 -0.11625 -0.48095
+-0.43525 0.11625 -0.21695
+-0.47555 0 -0.1545
+-0.47965 -0.11625 -0.0803
+-0.3408 0.11625 0.3469
+-0.2939 0 0.4045
+-0.2246 -0.11625 0.43135
+0.2246 0.11625 0.43135
+0.2939 0 0.4045
+0.3408 -0.11625 0.3469
+0.47965 0.11625 0.0803
+0.47555 0 0.1545
+0.43525 -0.11625 0.21695
+0.2246 0.11625 -0.43135
+0.2939 0 -0.4045
+0.3408 -0.11625 -0.3469
+-0.3408 0.11625 -0.3469
+-0.2939 0 -0.4045
+-0.2246 -0.11625 -0.43135
+-0.43525 0.11625 0.21695
+-0.47555 0 0.1545
+-0.47965 -0.11625 0.0803
+0.07185 0.11625 0.48095
+0 0 0.5
+-0.07185 -0.11625 0.48095
+0.2564 -0.25285 -0.3469
+0.13145 -0.26285 -0.4045
+-0.0035155 -0.25285 -0.43135
+-0.2507 -0.25285 -0.351
+-0.3441 -0.26285 -0.25
+-0.4113 -0.25285 -0.12995
+-0.4113 -0.25285 0.12995
+-0.3441 -0.26285 0.25
+-0.2507 -0.25285 0.351
+-0.0035155 -0.25285 0.43135
+0.13145 -0.26285 0.4045
+0.2564 -0.25285 0.3469
+0.40915 -0.25285 0.13665
+0.42535 -0.26285 0
+0.40915 -0.25285 -0.13665
+0.11055 -0.48095 -0.0803
+0.21265 -0.42535 -0.1545
+0.2986 -0.3373 -0.21695
+-0.04222 -0.48095 -0.12995
+-0.08125 -0.42535 -0.25
+-0.11405 -0.3373 -0.351
+-0.13665 -0.48095 0
+-0.26285 -0.42535 0
+-0.3691 -0.3373 0
+-0.04222 -0.48095 0.12995
+-0.08125 -0.42535 0.25
+-0.11405 -0.3373 0.351
+0.11055 -0.48095 0.0803
+0.21265 -0.42535 0.1545
+0.2986 -0.3373 0.21695
+0.1809 0.4472 -0.13145
+0.30895 0.3702 -0.13235
+0.22135 0.3702 -0.2529
+-0.0691 0.4472 -0.21265
+-0.030395 0.3702 -0.3347
+-0.17215 0.3702 -0.28865
+-0.2236 0.4472 0
+-0.3277 0.3702 -0.0745
+-0.3277 0.3702 0.0745
+-0.0691 0.4472 0.21265
+-0.17215 0.3702 0.28865
+-0.030395 0.3702 0.3347
+0.1809 0.4472 0.13145
+0.22135 0.3702 0.2529
+0.30895 0.3702 0.13235
+0.5 0 0
+0.4777 -0.12755 0.0745
+0.4777 -0.12755 -0.0745
+0.1545 0 -0.47555
+0.2185 -0.12755 -0.43125
+0.07675 -0.12755 -0.47735
+-0.4045 0 -0.2939
+-0.34265 -0.12755 -0.34105
+-0.43025 -0.12755 -0.2205
+-0.4045 0 0.2939
+-0.43025 -0.12755 0.2205
+-0.34265 -0.12755 0.34105
+0.1545 0 0.47555
+0.07675 -0.12755 0.47735
+0.2185 -0.12755 0.43125
+0.4045 0 -0.2939
+0.34265 0.12755 -0.34105
+0.43025 0.12755 -0.2205
+-0.1545 0 -0.47555
+-0.2185 0.12755 -0.43125
+-0.07675 0.12755 -0.47735
+-0.5 0 0
+-0.4777 0.12755 0.0745
+-0.4777 0.12755 -0.0745
+-0.1545 0 0.47555
+-0.07675 0.12755 0.47735
+-0.2185 0.12755 0.43125
+0.4045 0 0.2939
+0.43025 0.12755 0.2205
+0.34265 0.12755 0.34105
+0.0691 -0.4472 -0.21265
+0.030395 -0.3702 -0.3347
+0.17215 -0.3702 -0.28865
+-0.1809 -0.4472 -0.13145
+-0.30895 -0.3702 -0.13235
+-0.22135 -0.3702 -0.2529
+-0.1809 -0.4472 0.13145
+-0.22135 -0.3702 0.2529
+-0.30895 -0.3702 0.13235
+0.0691 -0.4472 0.21265
+0.17215 -0.3702 0.28865
+0.030395 -0.3702 0.3347
+0.2236 -0.4472 0
+0.3277 -0.3702 -0.0745
+0.3277 -0.3702 0.0745
+3  0 12 15
+3  12 13 102
+3  12 102 15
+3  15 102 16
+3  13 14 103
+3  13 103 102
+3  102 103 104
+3  102 104 16
+3  16 104 17
+3  14 1 27
+3  14 27 103
+3  103 27 28
+3  103 28 104
+3  104 28 29
+3  104 29 17
+3  17 29 2
+3  0 15 18
+3  15 16 105
+3  15 105 18
+3  18 105 19
+3  16 17 106
+3  16 106 105
+3  105 106 107
+3  105 107 19
+3  19 107 20
+3  17 2 30
+3  17 30 106
+3  106 30 31
+3  106 31 107
+3  107 31 32
+3  107 32 20
+3  20 32 3
+3  0 18 21
+3  18 19 108
+3  18 108 21
+3  21 108 22
+3  19 20 109
+3  19 109 108
+3  108 109 110
+3  108 110 22
+3  22 110 23
+3  20 3 33
+3  20 33 109
+3  109 33 34
+3  109 34 110
+3  110 34 35
+3  110 35 23
+3  23 35 4
+3  0 21 24
+3  21 22 111
+3  21 111 24
+3  24 111 25
+3  22 23 112
+3  22 112 111
+3  111 112 113
+3  111 113 25
+3  25 113 26
+3  23 4 36
+3  23 36 112
+3  112 36 37
+3  112 37 113
+3  113 37 38
+3  113 38 26
+3  26 38 5
+3  0 24 12
+3  24 25 114
+3  24 114 12
+3  12 114 13
+3  25 26 115
+3  25 115 114
+3  114 115 116
+3  114 116 13
+3  13 116 14
+3  26 5 39
+3  26 39 115
+3  115 39 40
+3  115 40 116
+3  116 40 41
+3  116 41 14
+3  14 41 1
+3  1 57 42
+3  57 58 117
+3  57 117 42
+3  42 117 43
+3  58 59 118
+3  58 118 117
+3  117 118 119
+3  117 119 43
+3  43 119 44
+3  59 10 84
+3  59 84 118
+3  118 84 85
+3  118 85 119
+3  119 85 86
+3  119 86 44
+3  44 86 6
+3  2 60 45
+3  60 61 120
+3  60 120 45
+3  45 120 46
+3  61 62 121
+3  61 121 120
+3  120 121 122
+3  120 122 46
+3  46 122 47
+3  62 6 72
+3  62 72 121
+3  121 72 73
+3  121 73 122
+3  122 73 74
+3  122 74 47
+3  47 74 7
+3  3 63 48
+3  63 64 123
+3  63 123 48
+3  48 123 49
+3  64 65 124
+3  64 124 123
+3  123 124 125
+3  123 125 49
+3  49 125 50
+3  65 7 75
+3  65 75 124
+3  124 75 76
+3  124 76 125
+3  125 76 77
+3  125 77 50
+3  50 77 8
+3  4 66 51
+3  66 67 126
+3  66 126 51
+3  51 126 52
+3  67 68 127
+3  67 127 126
+3  126 127 128
+3  126 128 52
+3  52 128 53
+3  68 8 78
+3  68 78 127
+3  127 78 79
+3  127 79 128
+3  128 79 80
+3  128 80 53
+3  53 80 9
+3  5 69 54
+3  69 70 129
+3  69 129 54
+3  54 129 55
+3  70 71 130
+3  70 130 129
+3  129 130 131
+3  129 131 55
+3  55 131 56
+3  71 9 81
+3  71 81 130
+3  130 81 82
+3  130 82 131
+3  131 82 83
+3  131 83 56
+3  56 83 10
+3  6 62 44
+3  62 61 132
+3  62 132 44
+3  44 132 43
+3  61 60 133
+3  61 133 132
+3  132 133 134
+3  132 134 43
+3  43 134 42
+3  60 2 29
+3  60 29 133
+3  133 29 28
+3  133 28 134
+3  134 28 27
+3  134 27 42
+3  42 27 1
+3  7 65 47
+3  65 64 135
+3  65 135 47
+3  47 135 46
+3  64 63 136
+3  64 136 135
+3  135 136 137
+3  135 137 46
+3  46 137 45
+3  63 3 32
+3  63 32 136
+3  136 32 31
+3  136 31 137
+3  137 31 30
+3  137 30 45
+3  45 30 2
+3  8 68 50
+3  68 67 138
+3  68 138 50
+3  50 138 49
+3  67 66 139
+3  67 139 138
+3  138 139 140
+3  138 140 49
+3  49 140 48
+3  66 4 35
+3  66 35 139
+3  139 35 34
+3  139 34 140
+3  140 34 33
+3  140 33 48
+3  48 33 3
+3  9 71 53
+3  71 70 141
+3  71 141 53
+3  53 141 52
+3  70 69 142
+3  70 142 141
+3  141 142 143
+3  141 143 52
+3  52 143 51
+3  69 5 38
+3  69 38 142
+3  142 38 37
+3  142 37 143
+3  143 37 36
+3  143 36 51
+3  51 36 4
+3  10 59 56
+3  59 58 144
+3  59 144 56
+3  56 144 55
+3  58 57 145
+3  58 145 144
+3  144 145 146
+3  144 146 55
+3  55 146 54
+3  57 1 41
+3  57 41 145
+3  145 41 40
+3  145 40 146
+3  146 40 39
+3  146 39 54
+3  54 39 5
+3  11 90 87
+3  90 91 147
+3  90 147 87
+3  87 147 88
+3  91 92 148
+3  91 148 147
+3  147 148 149
+3  147 149 88
+3  88 149 89
+3  92 7 74
+3  92 74 148
+3  148 74 73
+3  148 73 149
+3  149 73 72
+3  149 72 89
+3  89 72 6
+3  11 93 90
+3  93 94 150
+3  93 150 90
+3  90 150 91
+3  94 95 151
+3  94 151 150
+3  150 151 152
+3  150 152 91
+3  91 152 92
+3  95 8 77
+3  95 77 151
+3  151 77 76
+3  151 76 152
+3  152 76 75
+3  152 75 92
+3  92 75 7
+3  11 96 93
+3  96 97 153
+3  96 153 93
+3  93 153 94
+3  97 98 154
+3  97 154 153
+3  153 154 155
+3  153 155 94
+3  94 155 95
+3  98 9 80
+3  98 80 154
+3  154 80 79
+3  154 79 155
+3  155 79 78
+3  155 78 95
+3  95 78 8
+3  11 99 96
+3  99 100 156
+3  99 156 96
+3  96 156 97
+3  100 101 157
+3  100 157 156
+3  156 157 158
+3  156 158 97
+3  97 158 98
+3  101 10 83
+3  101 83 157
+3  157 83 82
+3  157 82 158
+3  158 82 81
+3  158 81 98
+3  98 81 9
+3  11 87 99
+3  87 88 159
+3  87 159 99
+3  99 159 100
+3  88 89 160
+3  88 160 159
+3  159 160 161
+3  159 161 100
+3  100 161 101
+3  89 6 86
+3  89 86 160
+3  160 86 85
+3  160 85 161
+3  161 85 84
+3  161 84 101
+3  101 84 10
+
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.ply
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.ply
@ -0,0 +1,492 @@
+ply
+format ascii 1.0
+comment Generated by the CGAL library
+element vertex 162
+property double x
+property double y
+property double z
+element face 320
+property list uchar int vertex_indices
+end_header
+0 0.5 0
+0.44719999999999999 0.22359999999999999 0
+0.13819999999999999 0.22359999999999999 -0.42535000000000001
+-0.36180000000000001 0.22359999999999999 -0.26284999999999997
+-0.36180000000000001 0.22359999999999999 0.26284999999999997
+0.13819999999999999 0.22359999999999999 0.42535000000000001
+0.36180000000000001 -0.22359999999999999 -0.26284999999999997
+-0.13819999999999999 -0.22359999999999999 -0.42535000000000001
+-0.44719999999999999 -0.22359999999999999 0
+-0.13819999999999999 -0.22359999999999999 0.42535000000000001
+0.36180000000000001 -0.22359999999999999 0.26284999999999997
+0 -0.5 0
+0.13664999999999999 0.48094999999999999 0
+0.26284999999999997 0.42535000000000001 0
+0.36909999999999998 0.33729999999999999 0
+0.042220000000000001 0.48094999999999999 -0.12995000000000001
+0.081250000000000003 0.42535000000000001 -0.25
+0.11405 0.33729999999999999 -0.35099999999999998
+-0.11055 0.48094999999999999 -0.080299999999999996
+-0.21265000000000001 0.42535000000000001 -0.1545
+-0.29859999999999998 0.33729999999999999 -0.21695
+-0.11055 0.48094999999999999 0.080299999999999996
+-0.21265000000000001 0.42535000000000001 0.1545
+-0.29859999999999998 0.33729999999999999 0.21695
+0.042220000000000001 0.48094999999999999 0.12995000000000001
+0.081250000000000003 0.42535000000000001 0.25
+0.11405 0.33729999999999999 0.35099999999999998
+0.4113 0.25285000000000002 -0.12995000000000001
+0.34410000000000002 0.26284999999999997 -0.25
+0.25069999999999998 0.25285000000000002 -0.35099999999999998
+0.0035155 0.25285000000000002 -0.43135000000000001
+-0.13145000000000001 0.26284999999999997 -0.40450000000000003
+-0.25640000000000002 0.25285000000000002 -0.34689999999999999
+-0.40915000000000001 0.25285000000000002 -0.13664999999999999
+-0.42535000000000001 0.26284999999999997 0
+-0.40915000000000001 0.25285000000000002 0.13664999999999999
+-0.25640000000000002 0.25285000000000002 0.34689999999999999
+-0.13145000000000001 0.26284999999999997 0.40450000000000003
+0.003516 0.25285000000000002 0.43135000000000001
+0.25069999999999998 0.25285000000000002 0.35099999999999998
+0.34410000000000002 0.26284999999999997 0.25
+0.4113 0.25285000000000002 0.12995000000000001
+0.47965000000000002 0.11625000000000001 -0.080299999999999996
+0.47554999999999997 0 -0.1545
+0.43525000000000003 -0.11625000000000001 -0.21695
+0.071849999999999997 0.11625000000000001 -0.48094999999999999
+0 0 -0.5
+-0.071849999999999997 -0.11625000000000001 -0.48094999999999999
+-0.43525000000000003 0.11625000000000001 -0.21695
+-0.47554999999999997 0 -0.1545
+-0.47965000000000002 -0.11625000000000001 -0.080299999999999996
+-0.34079999999999999 0.11625000000000001 0.34689999999999999
+-0.29389999999999999 0 0.40450000000000003
+-0.22459999999999999 -0.11625000000000001 0.43135000000000001
+0.22459999999999999 0.11625000000000001 0.43135000000000001
+0.29389999999999999 0 0.40450000000000003
+0.34079999999999999 -0.11625000000000001 0.34689999999999999
+0.47965000000000002 0.11625000000000001 0.080299999999999996
+0.47554999999999997 0 0.1545
+0.43525000000000003 -0.11625000000000001 0.21695
+0.22459999999999999 0.11625000000000001 -0.43135000000000001
+0.29389999999999999 0 -0.40450000000000003
+0.34079999999999999 -0.11625000000000001 -0.34689999999999999
+-0.34079999999999999 0.11625000000000001 -0.34689999999999999
+-0.29389999999999999 0 -0.40450000000000003
+-0.22459999999999999 -0.11625000000000001 -0.43135000000000001
+-0.43525000000000003 0.11625000000000001 0.21695
+-0.47554999999999997 0 0.1545
+-0.47965000000000002 -0.11625000000000001 0.080299999999999996
+0.071849999999999997 0.11625000000000001 0.48094999999999999
+0 0 0.5
+-0.071849999999999997 -0.11625000000000001 0.48094999999999999
+0.25640000000000002 -0.25285000000000002 -0.34689999999999999
+0.13145000000000001 -0.26284999999999997 -0.40450000000000003
+-0.0035155 -0.25285000000000002 -0.43135000000000001
+-0.25069999999999998 -0.25285000000000002 -0.35099999999999998
+-0.34410000000000002 -0.26284999999999997 -0.25
+-0.4113 -0.25285000000000002 -0.12995000000000001
+-0.4113 -0.25285000000000002 0.12995000000000001
+-0.34410000000000002 -0.26284999999999997 0.25
+-0.25069999999999998 -0.25285000000000002 0.35099999999999998
+-0.0035155 -0.25285000000000002 0.43135000000000001
+0.13145000000000001 -0.26284999999999997 0.40450000000000003
+0.25640000000000002 -0.25285000000000002 0.34689999999999999
+0.40915000000000001 -0.25285000000000002 0.13664999999999999
+0.42535000000000001 -0.26284999999999997 0
+0.40915000000000001 -0.25285000000000002 -0.13664999999999999
+0.11055 -0.48094999999999999 -0.080299999999999996
+0.21265000000000001 -0.42535000000000001 -0.1545
+0.29859999999999998 -0.33729999999999999 -0.21695
+-0.042220000000000001 -0.48094999999999999 -0.12995000000000001
+-0.081250000000000003 -0.42535000000000001 -0.25
+-0.11405 -0.33729999999999999 -0.35099999999999998
+-0.13664999999999999 -0.48094999999999999 0
+-0.26284999999999997 -0.42535000000000001 0
+-0.36909999999999998 -0.33729999999999999 0
+-0.042220000000000001 -0.48094999999999999 0.12995000000000001
+-0.081250000000000003 -0.42535000000000001 0.25
+-0.11405 -0.33729999999999999 0.35099999999999998
+0.11055 -0.48094999999999999 0.080299999999999996
+0.21265000000000001 -0.42535000000000001 0.1545
+0.29859999999999998 -0.33729999999999999 0.21695
+0.18090000000000001 0.44719999999999999 -0.13145000000000001
+0.30895 0.37019999999999997 -0.13235
+0.22134999999999999 0.37019999999999997 -0.25290000000000001
+-0.069099999999999995 0.44719999999999999 -0.21265000000000001
+-0.030394999999999998 0.37019999999999997 -0.3347
+-0.17215 0.37019999999999997 -0.28865000000000002
+-0.22359999999999999 0.44719999999999999 0
+-0.32769999999999999 0.37019999999999997 -0.074499999999999997
+-0.32769999999999999 0.37019999999999997 0.074499999999999997
+-0.069099999999999995 0.44719999999999999 0.21265000000000001
+-0.17215 0.37019999999999997 0.28865000000000002
+-0.030394999999999998 0.37019999999999997 0.3347
+0.18090000000000001 0.44719999999999999 0.13145000000000001
+0.22134999999999999 0.37019999999999997 0.25290000000000001
+0.30895 0.37019999999999997 0.13235
+0.5 0 0
+0.47770000000000001 -0.12755 0.074499999999999997
+0.47770000000000001 -0.12755 -0.074499999999999997
+0.1545 0 -0.47554999999999997
+0.2185 -0.12755 -0.43125000000000002
+0.076749999999999999 -0.12755 -0.47735
+-0.40450000000000003 0 -0.29389999999999999
+-0.34265000000000001 -0.12755 -0.34105000000000002
+-0.43025000000000002 -0.12755 -0.2205
+-0.40450000000000003 0 0.29389999999999999
+-0.43025000000000002 -0.12755 0.2205
+-0.34265000000000001 -0.12755 0.34105000000000002
+0.1545 0 0.47554999999999997
+0.076749999999999999 -0.12755 0.47735
+0.2185 -0.12755 0.43125000000000002
+0.40450000000000003 0 -0.29389999999999999
+0.34265000000000001 0.12755 -0.34105000000000002
+0.43025000000000002 0.12755 -0.2205
+-0.1545 0 -0.47554999999999997
+-0.2185 0.12755 -0.43125000000000002
+-0.076749999999999999 0.12755 -0.47735
+-0.5 0 0
+-0.47770000000000001 0.12755 0.074499999999999997
+-0.47770000000000001 0.12755 -0.074499999999999997
+-0.1545 0 0.47554999999999997
+-0.076749999999999999 0.12755 0.47735
+-0.2185 0.12755 0.43125000000000002
+0.40450000000000003 0 0.29389999999999999
+0.43025000000000002 0.12755 0.2205
+0.34265000000000001 0.12755 0.34105000000000002
+0.069099999999999995 -0.44719999999999999 -0.21265000000000001
+0.030394999999999998 -0.37019999999999997 -0.3347
+0.17215 -0.37019999999999997 -0.28865000000000002
+-0.18090000000000001 -0.44719999999999999 -0.13145000000000001
+-0.30895 -0.37019999999999997 -0.13235
+-0.22134999999999999 -0.37019999999999997 -0.25290000000000001
+-0.18090000000000001 -0.44719999999999999 0.13145000000000001
+-0.22134999999999999 -0.37019999999999997 0.25290000000000001
+-0.30895 -0.37019999999999997 0.13235
+0.069099999999999995 -0.44719999999999999 0.21265000000000001
+0.17215 -0.37019999999999997 0.28865000000000002
+0.030394999999999998 -0.37019999999999997 0.3347
+0.22359999999999999 -0.44719999999999999 0
+0.32769999999999999 -0.37019999999999997 -0.074499999999999997
+0.32769999999999999 -0.37019999999999997 0.074499999999999997
+3 15 0 12
+3 102 12 13
+3 15 12 102
+3 16 15 102
+3 103 13 14
+3 102 13 103
+3 104 102 103
+3 16 102 104
+3 17 16 104
+3 27 14 1
+3 103 14 27
+3 28 103 27
+3 104 103 28
+3 29 104 28
+3 17 104 29
+3 2 17 29
+3 18 0 15
+3 105 15 16
+3 18 15 105
+3 19 18 105
+3 106 16 17
+3 105 16 106
+3 107 105 106
+3 19 105 107
+3 20 19 107
+3 30 17 2
+3 106 17 30
+3 31 106 30
+3 107 106 31
+3 32 107 31
+3 20 107 32
+3 3 20 32
+3 21 0 18
+3 108 18 19
+3 21 18 108
+3 22 21 108
+3 109 19 20
+3 108 19 109
+3 110 108 109
+3 22 108 110
+3 23 22 110
+3 33 20 3
+3 109 20 33
+3 34 109 33
+3 110 109 34
+3 35 110 34
+3 23 110 35
+3 4 23 35
+3 24 0 21
+3 111 21 22
+3 24 21 111
+3 25 24 111
+3 112 22 23
+3 111 22 112
+3 113 111 112
+3 25 111 113
+3 26 25 113
+3 36 23 4
+3 112 23 36
+3 37 112 36
+3 113 112 37
+3 38 113 37
+3 26 113 38
+3 5 26 38
+3 12 0 24
+3 114 24 25
+3 12 24 114
+3 13 12 114
+3 115 25 26
+3 114 25 115
+3 116 114 115
+3 13 114 116
+3 14 13 116
+3 39 26 5
+3 115 26 39
+3 40 115 39
+3 116 115 40
+3 41 116 40
+3 14 116 41
+3 1 14 41
+3 42 1 57
+3 117 57 58
+3 42 57 117
+3 43 42 117
+3 118 58 59
+3 117 58 118
+3 119 117 118
+3 43 117 119
+3 44 43 119
+3 84 59 10
+3 118 59 84
+3 85 118 84
+3 119 118 85
+3 86 119 85
+3 44 119 86
+3 6 44 86
+3 45 2 60
+3 120 60 61
+3 45 60 120
+3 46 45 120
+3 121 61 62
+3 120 61 121
+3 122 120 121
+3 46 120 122
+3 47 46 122
+3 72 62 6
+3 121 62 72
+3 73 121 72
+3 122 121 73
+3 74 122 73
+3 47 122 74
+3 7 47 74
+3 48 3 63
+3 123 63 64
+3 48 63 123
+3 49 48 123
+3 124 64 65
+3 123 64 124
+3 125 123 124
+3 49 123 125
+3 50 49 125
+3 75 65 7
+3 124 65 75
+3 76 124 75
+3 125 124 76
+3 77 125 76
+3 50 125 77
+3 8 50 77
+3 51 4 66
+3 126 66 67
+3 51 66 126
+3 52 51 126
+3 127 67 68
+3 126 67 127
+3 128 126 127
+3 52 126 128
+3 53 52 128
+3 78 68 8
+3 127 68 78
+3 79 127 78
+3 128 127 79
+3 80 128 79
+3 53 128 80
+3 9 53 80
+3 54 5 69
+3 129 69 70
+3 54 69 129
+3 55 54 129
+3 130 70 71
+3 129 70 130
+3 131 129 130
+3 55 129 131
+3 56 55 131
+3 81 71 9
+3 130 71 81
+3 82 130 81
+3 131 130 82
+3 83 131 82
+3 56 131 83
+3 10 56 83
+3 44 6 62
+3 132 62 61
+3 44 62 132
+3 43 44 132
+3 133 61 60
+3 132 61 133
+3 134 132 133
+3 43 132 134
+3 42 43 134
+3 29 60 2
+3 133 60 29
+3 28 133 29
+3 134 133 28
+3 27 134 28
+3 42 134 27
+3 1 42 27
+3 47 7 65
+3 135 65 64
+3 47 65 135
+3 46 47 135
+3 136 64 63
+3 135 64 136
+3 137 135 136
+3 46 135 137
+3 45 46 137
+3 32 63 3
+3 136 63 32
+3 31 136 32
+3 137 136 31
+3 30 137 31
+3 45 137 30
+3 2 45 30
+3 50 8 68
+3 138 68 67
+3 50 68 138
+3 49 50 138
+3 139 67 66
+3 138 67 139
+3 140 138 139
+3 49 138 140
+3 48 49 140
+3 35 66 4
+3 139 66 35
+3 34 139 35
+3 140 139 34
+3 33 140 34
+3 48 140 33
+3 3 48 33
+3 53 9 71
+3 141 71 70
+3 53 71 141
+3 52 53 141
+3 142 70 69
+3 141 70 142
+3 143 141 142
+3 52 141 143
+3 51 52 143
+3 38 69 5
+3 142 69 38
+3 37 142 38
+3 143 142 37
+3 36 143 37
+3 51 143 36
+3 4 51 36
+3 56 10 59
+3 144 59 58
+3 56 59 144
+3 55 56 144
+3 145 58 57
+3 144 58 145
+3 146 144 145
+3 55 144 146
+3 54 55 146
+3 41 57 1
+3 145 57 41
+3 40 145 41
+3 146 145 40
+3 39 146 40
+3 54 146 39
+3 5 54 39
+3 87 11 90
+3 147 90 91
+3 87 90 147
+3 88 87 147
+3 148 91 92
+3 147 91 148
+3 149 147 148
+3 88 147 149
+3 89 88 149
+3 74 92 7
+3 148 92 74
+3 73 148 74
+3 149 148 73
+3 72 149 73
+3 89 149 72
+3 6 89 72
+3 90 11 93
+3 150 93 94
+3 90 93 150
+3 91 90 150
+3 151 94 95
+3 150 94 151
+3 152 150 151
+3 91 150 152
+3 92 91 152
+3 77 95 8
+3 151 95 77
+3 76 151 77
+3 152 151 76
+3 75 152 76
+3 92 152 75
+3 7 92 75
+3 93 11 96
+3 153 96 97
+3 93 96 153
+3 94 93 153
+3 154 97 98
+3 153 97 154
+3 155 153 154
+3 94 153 155
+3 95 94 155
+3 80 98 9
+3 154 98 80
+3 79 154 80
+3 155 154 79
+3 78 155 79
+3 95 155 78
+3 8 95 78
+3 96 11 99
+3 156 99 100
+3 96 99 156
+3 97 96 156
+3 157 100 101
+3 156 100 157
+3 158 156 157
+3 97 156 158
+3 98 97 158
+3 83 101 10
+3 157 101 83
+3 82 157 83
+3 158 157 82
+3 81 158 82
+3 98 158 81
+3 9 98 81
+3 99 11 87
+3 159 87 88
+3 99 87 159
+3 100 99 159
+3 160 88 89
+3 159 88 160
+3 161 159 160
+3 100 159 161
+3 101 100 161
+3 86 89 6
+3 160 89 86
+3 85 160 86
+3 161 160 85
+3 84 161 85
+3 101 161 84
+3 10 101 84
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.selection.txt
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.selection.txt
@ -0,0 +1,3 @@
+69 129 70
+148 213 144 212 146 147 218 150 209 217 151 149
+55 54 130 131 71 130 141 71 131 55 142 141 38 5 38 142 54 5 129 69 69 70 70 129
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.stl
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.stl
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.ts
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.ts
@ -0,0 +1,496 @@
+GOCAD TSurf 1
+HEADER {
+name:sphere
+*border:on
+*border*bstone:on
+}
+GOCAD_ORIGINAL_COORDINATE_SYSTEM
+NAME Default
+AXIS_NAME "X" "Y" "Z"
+AXIS_UNIT "m" "m" "m"
+ZPOSITIVE Elevation
+END_ORIGINAL_COORDINATE_SYSTEM
+TFACE
+VRTX 0 0 0.5 0
+VRTX 1 0.4472 0.2236 0
+VRTX 2 0.1382 0.2236 -0.42535
+VRTX 3 -0.3618 0.2236 -0.26285
+VRTX 4 -0.3618 0.2236 0.26285
+VRTX 5 0.1382 0.2236 0.42535
+VRTX 6 0.3618 -0.2236 -0.26285
+VRTX 7 -0.1382 -0.2236 -0.42535
+VRTX 8 -0.4472 -0.2236 0
+VRTX 9 -0.1382 -0.2236 0.42535
+VRTX 10 0.3618 -0.2236 0.26285
+VRTX 11 0 -0.5 0
+VRTX 12 0.13665 0.48095 0
+VRTX 13 0.26285 0.42535 0
+VRTX 14 0.3691 0.3373 0
+VRTX 15 0.04222 0.48095 -0.12995
+VRTX 16 0.08125 0.42535 -0.25
+VRTX 17 0.11405 0.3373 -0.351
+VRTX 18 -0.11055 0.48095 -0.0803
+VRTX 19 -0.21265 0.42535 -0.1545
+VRTX 20 -0.2986 0.3373 -0.21695
+VRTX 21 -0.11055 0.48095 0.0803
+VRTX 22 -0.21265 0.42535 0.1545
+VRTX 23 -0.2986 0.3373 0.21695
+VRTX 24 0.04222 0.48095 0.12995
+VRTX 25 0.08125 0.42535 0.25
+VRTX 26 0.11405 0.3373 0.351
+VRTX 27 0.4113 0.25285 -0.12995
+VRTX 28 0.3441 0.26285 -0.25
+VRTX 29 0.2507 0.25285 -0.351
+VRTX 30 0.0035155 0.25285 -0.43135
+VRTX 31 -0.13145 0.26285 -0.4045
+VRTX 32 -0.2564 0.25285 -0.3469
+VRTX 33 -0.40915 0.25285 -0.13665
+VRTX 34 -0.42535 0.26285 0
+VRTX 35 -0.40915 0.25285 0.13665
+VRTX 36 -0.2564 0.25285 0.3469
+VRTX 37 -0.13145 0.26285 0.4045
+VRTX 38 0.003516 0.25285 0.43135
+VRTX 39 0.2507 0.25285 0.351
+VRTX 40 0.3441 0.26285 0.25
+VRTX 41 0.4113 0.25285 0.12995
+VRTX 42 0.47965 0.11625 -0.0803
+VRTX 43 0.47555 0 -0.1545
+VRTX 44 0.43525 -0.11625 -0.21695
+VRTX 45 0.07185 0.11625 -0.48095
+VRTX 46 0 0 -0.5
+VRTX 47 -0.07185 -0.11625 -0.48095
+VRTX 48 -0.43525 0.11625 -0.21695
+VRTX 49 -0.47555 0 -0.1545
+VRTX 50 -0.47965 -0.11625 -0.0803
+VRTX 51 -0.3408 0.11625 0.3469
+VRTX 52 -0.2939 0 0.4045
+VRTX 53 -0.2246 -0.11625 0.43135
+VRTX 54 0.2246 0.11625 0.43135
+VRTX 55 0.2939 0 0.4045
+VRTX 56 0.3408 -0.11625 0.3469
+VRTX 57 0.47965 0.11625 0.0803
+VRTX 58 0.47555 0 0.1545
+VRTX 59 0.43525 -0.11625 0.21695
+VRTX 60 0.2246 0.11625 -0.43135
+VRTX 61 0.2939 0 -0.4045
+VRTX 62 0.3408 -0.11625 -0.3469
+VRTX 63 -0.3408 0.11625 -0.3469
+VRTX 64 -0.2939 0 -0.4045
+VRTX 65 -0.2246 -0.11625 -0.43135
+VRTX 66 -0.43525 0.11625 0.21695
+VRTX 67 -0.47555 0 0.1545
+VRTX 68 -0.47965 -0.11625 0.0803
+VRTX 69 0.07185 0.11625 0.48095
+VRTX 70 0 0 0.5
+VRTX 71 -0.07185 -0.11625 0.48095
+VRTX 72 0.2564 -0.25285 -0.3469
+VRTX 73 0.13145 -0.26285 -0.4045
+VRTX 74 -0.0035155 -0.25285 -0.43135
+VRTX 75 -0.2507 -0.25285 -0.351
+VRTX 76 -0.3441 -0.26285 -0.25
+VRTX 77 -0.4113 -0.25285 -0.12995
+VRTX 78 -0.4113 -0.25285 0.12995
+VRTX 79 -0.3441 -0.26285 0.25
+VRTX 80 -0.2507 -0.25285 0.351
+VRTX 81 -0.0035155 -0.25285 0.43135
+VRTX 82 0.13145 -0.26285 0.4045
+VRTX 83 0.2564 -0.25285 0.3469
+VRTX 84 0.40915 -0.25285 0.13665
+VRTX 85 0.42535 -0.26285 0
+VRTX 86 0.40915 -0.25285 -0.13665
+VRTX 87 0.11055 -0.48095 -0.0803
+VRTX 88 0.21265 -0.42535 -0.1545
+VRTX 89 0.2986 -0.3373 -0.21695
+VRTX 90 -0.04222 -0.48095 -0.12995
+VRTX 91 -0.08125 -0.42535 -0.25
+VRTX 92 -0.11405 -0.3373 -0.351
+VRTX 93 -0.13665 -0.48095 0
+VRTX 94 -0.26285 -0.42535 0
+VRTX 95 -0.3691 -0.3373 0
+VRTX 96 -0.04222 -0.48095 0.12995
+VRTX 97 -0.08125 -0.42535 0.25
+VRTX 98 -0.11405 -0.3373 0.351
+VRTX 99 0.11055 -0.48095 0.0803
+VRTX 100 0.21265 -0.42535 0.1545
+VRTX 101 0.2986 -0.3373 0.21695
+VRTX 102 0.1809 0.4472 -0.13145
+VRTX 103 0.30895 0.3702 -0.13235
+VRTX 104 0.22135 0.3702 -0.2529
+VRTX 105 -0.06909999999999999 0.4472 -0.21265
+VRTX 106 -0.030395 0.3702 -0.3347
+VRTX 107 -0.17215 0.3702 -0.28865
+VRTX 108 -0.2236 0.4472 0
+VRTX 109 -0.3277 0.3702 -0.0745
+VRTX 110 -0.3277 0.3702 0.0745
+VRTX 111 -0.06909999999999999 0.4472 0.21265
+VRTX 112 -0.17215 0.3702 0.28865
+VRTX 113 -0.030395 0.3702 0.3347
+VRTX 114 0.1809 0.4472 0.13145
+VRTX 115 0.22135 0.3702 0.2529
+VRTX 116 0.30895 0.3702 0.13235
+VRTX 117 0.5 0 0
+VRTX 118 0.4777 -0.12755 0.0745
+VRTX 119 0.4777 -0.12755 -0.0745
+VRTX 120 0.1545 0 -0.47555
+VRTX 121 0.2185 -0.12755 -0.43125
+VRTX 122 0.07675 -0.12755 -0.47735
+VRTX 123 -0.4045 0 -0.2939
+VRTX 124 -0.34265 -0.12755 -0.34105
+VRTX 125 -0.43025 -0.12755 -0.2205
+VRTX 126 -0.4045 0 0.2939
+VRTX 127 -0.43025 -0.12755 0.2205
+VRTX 128 -0.34265 -0.12755 0.34105
+VRTX 129 0.1545 0 0.47555
+VRTX 130 0.07675 -0.12755 0.47735
+VRTX 131 0.2185 -0.12755 0.43125
+VRTX 132 0.4045 0 -0.2939
+VRTX 133 0.34265 0.12755 -0.34105
+VRTX 134 0.43025 0.12755 -0.2205
+VRTX 135 -0.1545 0 -0.47555
+VRTX 136 -0.2185 0.12755 -0.43125
+VRTX 137 -0.07675 0.12755 -0.47735
+VRTX 138 -0.5 0 0
+VRTX 139 -0.4777 0.12755 0.0745
+VRTX 140 -0.4777 0.12755 -0.0745
+VRTX 141 -0.1545 0 0.47555
+VRTX 142 -0.07675 0.12755 0.47735
+VRTX 143 -0.2185 0.12755 0.43125
+VRTX 144 0.4045 0 0.2939
+VRTX 145 0.43025 0.12755 0.2205
+VRTX 146 0.34265 0.12755 0.34105
+VRTX 147 0.06909999999999999 -0.4472 -0.21265
+VRTX 148 0.030395 -0.3702 -0.3347
+VRTX 149 0.17215 -0.3702 -0.28865
+VRTX 150 -0.1809 -0.4472 -0.13145
+VRTX 151 -0.30895 -0.3702 -0.13235
+VRTX 152 -0.22135 -0.3702 -0.2529
+VRTX 153 -0.1809 -0.4472 0.13145
+VRTX 154 -0.22135 -0.3702 0.2529
+VRTX 155 -0.30895 -0.3702 0.13235
+VRTX 156 0.06909999999999999 -0.4472 0.21265
+VRTX 157 0.17215 -0.3702 0.28865
+VRTX 158 0.030395 -0.3702 0.3347
+VRTX 159 0.2236 -0.4472 0
+VRTX 160 0.3277 -0.3702 -0.0745
+VRTX 161 0.3277 -0.3702 0.0745
+TRGL 15 0 12
+TRGL 102 12 13
+TRGL 15 12 102
+TRGL 16 15 102
+TRGL 103 13 14
+TRGL 102 13 103
+TRGL 104 102 103
+TRGL 16 102 104
+TRGL 17 16 104
+TRGL 27 14 1
+TRGL 103 14 27
+TRGL 28 103 27
+TRGL 104 103 28
+TRGL 29 104 28
+TRGL 17 104 29
+TRGL 2 17 29
+TRGL 18 0 15
+TRGL 105 15 16
+TRGL 18 15 105
+TRGL 19 18 105
+TRGL 106 16 17
+TRGL 105 16 106
+TRGL 107 105 106
+TRGL 19 105 107
+TRGL 20 19 107
+TRGL 30 17 2
+TRGL 106 17 30
+TRGL 31 106 30
+TRGL 107 106 31
+TRGL 32 107 31
+TRGL 20 107 32
+TRGL 3 20 32
+TRGL 21 0 18
+TRGL 108 18 19
+TRGL 21 18 108
+TRGL 22 21 108
+TRGL 109 19 20
+TRGL 108 19 109
+TRGL 110 108 109
+TRGL 22 108 110
+TRGL 23 22 110
+TRGL 33 20 3
+TRGL 109 20 33
+TRGL 34 109 33
+TRGL 110 109 34
+TRGL 35 110 34
+TRGL 23 110 35
+TRGL 4 23 35
+TRGL 24 0 21
+TRGL 111 21 22
+TRGL 24 21 111
+TRGL 25 24 111
+TRGL 112 22 23
+TRGL 111 22 112
+TRGL 113 111 112
+TRGL 25 111 113
+TRGL 26 25 113
+TRGL 36 23 4
+TRGL 112 23 36
+TRGL 37 112 36
+TRGL 113 112 37
+TRGL 38 113 37
+TRGL 26 113 38
+TRGL 5 26 38
+TRGL 12 0 24
+TRGL 114 24 25
+TRGL 12 24 114
+TRGL 13 12 114
+TRGL 115 25 26
+TRGL 114 25 115
+TRGL 116 114 115
+TRGL 13 114 116
+TRGL 14 13 116
+TRGL 39 26 5
+TRGL 115 26 39
+TRGL 40 115 39
+TRGL 116 115 40
+TRGL 41 116 40
+TRGL 14 116 41
+TRGL 1 14 41
+TRGL 42 1 57
+TRGL 117 57 58
+TRGL 42 57 117
+TRGL 43 42 117
+TRGL 118 58 59
+TRGL 117 58 118
+TRGL 119 117 118
+TRGL 43 117 119
+TRGL 44 43 119
+TRGL 84 59 10
+TRGL 118 59 84
+TRGL 85 118 84
+TRGL 119 118 85
+TRGL 86 119 85
+TRGL 44 119 86
+TRGL 6 44 86
+TRGL 45 2 60
+TRGL 120 60 61
+TRGL 45 60 120
+TRGL 46 45 120
+TRGL 121 61 62
+TRGL 120 61 121
+TRGL 122 120 121
+TRGL 46 120 122
+TRGL 47 46 122
+TRGL 72 62 6
+TRGL 121 62 72
+TRGL 73 121 72
+TRGL 122 121 73
+TRGL 74 122 73
+TRGL 47 122 74
+TRGL 7 47 74
+TRGL 48 3 63
+TRGL 123 63 64
+TRGL 48 63 123
+TRGL 49 48 123
+TRGL 124 64 65
+TRGL 123 64 124
+TRGL 125 123 124
+TRGL 49 123 125
+TRGL 50 49 125
+TRGL 75 65 7
+TRGL 124 65 75
+TRGL 76 124 75
+TRGL 125 124 76
+TRGL 77 125 76
+TRGL 50 125 77
+TRGL 8 50 77
+TRGL 51 4 66
+TRGL 126 66 67
+TRGL 51 66 126
+TRGL 52 51 126
+TRGL 127 67 68
+TRGL 126 67 127
+TRGL 128 126 127
+TRGL 52 126 128
+TRGL 53 52 128
+TRGL 78 68 8
+TRGL 127 68 78
+TRGL 79 127 78
+TRGL 128 127 79
+TRGL 80 128 79
+TRGL 53 128 80
+TRGL 9 53 80
+TRGL 54 5 69
+TRGL 129 69 70
+TRGL 54 69 129
+TRGL 55 54 129
+TRGL 130 70 71
+TRGL 129 70 130
+TRGL 131 129 130
+TRGL 55 129 131
+TRGL 56 55 131
+TRGL 81 71 9
+TRGL 130 71 81
+TRGL 82 130 81
+TRGL 131 130 82
+TRGL 83 131 82
+TRGL 56 131 83
+TRGL 10 56 83
+TRGL 44 6 62
+TRGL 132 62 61
+TRGL 44 62 132
+TRGL 43 44 132
+TRGL 133 61 60
+TRGL 132 61 133
+TRGL 134 132 133
+TRGL 43 132 134
+TRGL 42 43 134
+TRGL 29 60 2
+TRGL 133 60 29
+TRGL 28 133 29
+TRGL 134 133 28
+TRGL 27 134 28
+TRGL 42 134 27
+TRGL 1 42 27
+TRGL 47 7 65
+TRGL 135 65 64
+TRGL 47 65 135
+TRGL 46 47 135
+TRGL 136 64 63
+TRGL 135 64 136
+TRGL 137 135 136
+TRGL 46 135 137
+TRGL 45 46 137
+TRGL 32 63 3
+TRGL 136 63 32
+TRGL 31 136 32
+TRGL 137 136 31
+TRGL 30 137 31
+TRGL 45 137 30
+TRGL 2 45 30
+TRGL 50 8 68
+TRGL 138 68 67
+TRGL 50 68 138
+TRGL 49 50 138
+TRGL 139 67 66
+TRGL 138 67 139
+TRGL 140 138 139
+TRGL 49 138 140
+TRGL 48 49 140
+TRGL 35 66 4
+TRGL 139 66 35
+TRGL 34 139 35
+TRGL 140 139 34
+TRGL 33 140 34
+TRGL 48 140 33
+TRGL 3 48 33
+TRGL 53 9 71
+TRGL 141 71 70
+TRGL 53 71 141
+TRGL 52 53 141
+TRGL 142 70 69
+TRGL 141 70 142
+TRGL 143 141 142
+TRGL 52 141 143
+TRGL 51 52 143
+TRGL 38 69 5
+TRGL 142 69 38
+TRGL 37 142 38
+TRGL 143 142 37
+TRGL 36 143 37
+TRGL 51 143 36
+TRGL 4 51 36
+TRGL 56 10 59
+TRGL 144 59 58
+TRGL 56 59 144
+TRGL 55 56 144
+TRGL 145 58 57
+TRGL 144 58 145
+TRGL 146 144 145
+TRGL 55 144 146
+TRGL 54 55 146
+TRGL 41 57 1
+TRGL 145 57 41
+TRGL 40 145 41
+TRGL 146 145 40
+TRGL 39 146 40
+TRGL 54 146 39
+TRGL 5 54 39
+TRGL 87 11 90
+TRGL 147 90 91
+TRGL 87 90 147
+TRGL 88 87 147
+TRGL 148 91 92
+TRGL 147 91 148
+TRGL 149 147 148
+TRGL 88 147 149
+TRGL 89 88 149
+TRGL 74 92 7
+TRGL 148 92 74
+TRGL 73 148 74
+TRGL 149 148 73
+TRGL 72 149 73
+TRGL 89 149 72
+TRGL 6 89 72
+TRGL 90 11 93
+TRGL 150 93 94
+TRGL 90 93 150
+TRGL 91 90 150
+TRGL 151 94 95
+TRGL 150 94 151
+TRGL 152 150 151
+TRGL 91 150 152
+TRGL 92 91 152
+TRGL 77 95 8
+TRGL 151 95 77
+TRGL 76 151 77
+TRGL 152 151 76
+TRGL 75 152 76
+TRGL 92 152 75
+TRGL 7 92 75
+TRGL 93 11 96
+TRGL 153 96 97
+TRGL 93 96 153
+TRGL 94 93 153
+TRGL 154 97 98
+TRGL 153 97 154
+TRGL 155 153 154
+TRGL 94 153 155
+TRGL 95 94 155
+TRGL 80 98 9
+TRGL 154 98 80
+TRGL 79 154 80
+TRGL 155 154 79
+TRGL 78 155 79
+TRGL 95 155 78
+TRGL 8 95 78
+TRGL 96 11 99
+TRGL 156 99 100
+TRGL 96 99 156
+TRGL 97 96 156
+TRGL 157 100 101
+TRGL 156 100 157
+TRGL 158 156 157
+TRGL 97 156 158
+TRGL 98 97 158
+TRGL 83 101 10
+TRGL 157 101 83
+TRGL 82 157 83
+TRGL 158 157 82
+TRGL 81 158 82
+TRGL 98 158 81
+TRGL 9 98 81
+TRGL 99 11 87
+TRGL 159 87 88
+TRGL 99 87 159
+TRGL 100 99 159
+TRGL 160 88 89
+TRGL 159 88 160
+TRGL 161 159 160
+TRGL 100 159 161
+TRGL 101 100 161
+TRGL 86 89 6
+TRGL 160 89 86
+TRGL 85 160 86
+TRGL 161 160 85
+TRGL 84 161 85
+TRGL 101 161 84
+TRGL 10 101 84
+END
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.vtk
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.vtk
@ -0,0 +1,382 @@
+# vtk DataFile Version 4.2
+vtk output
+ASCII
+DATASET POLYDATA
+POINTS 162 float
+0 0.5 0 0.4472 0.2236 0 0.1382 0.2236 -0.42535 
+-0.3618 0.2236 -0.26285 -0.3618 0.2236 0.26285 0.1382 0.2236 0.42535 
+0.3618 -0.2236 -0.26285 -0.1382 -0.2236 -0.42535 -0.4472 -0.2236 0 
+-0.1382 -0.2236 0.42535 0.3618 -0.2236 0.26285 0 -0.5 0 
+0.13665 0.48095 0 0.26285 0.42535 0 0.3691 0.3373 0 
+0.04222 0.48095 -0.12995 0.08125 0.42535 -0.25 0.11405 0.3373 -0.351 
+-0.11055 0.48095 -0.0803 -0.21265 0.42535 -0.1545 -0.2986 0.3373 -0.21695 
+-0.11055 0.48095 0.0803 -0.21265 0.42535 0.1545 -0.2986 0.3373 0.21695 
+0.04222 0.48095 0.12995 0.08125 0.42535 0.25 0.11405 0.3373 0.351 
+0.4113 0.25285 -0.12995 0.3441 0.26285 -0.25 0.2507 0.25285 -0.351 
+0.0035155 0.25285 -0.43135 -0.13145 0.26285 -0.4045 -0.2564 0.25285 -0.3469 
+-0.40915 0.25285 -0.13665 -0.42535 0.26285 0 -0.40915 0.25285 0.13665 
+-0.2564 0.25285 0.3469 -0.13145 0.26285 0.4045 0.003516 0.25285 0.43135 
+0.2507 0.25285 0.351 0.3441 0.26285 0.25 0.4113 0.25285 0.12995 
+0.47965 0.11625 -0.0803 0.47555 0 -0.1545 0.43525 -0.11625 -0.21695 
+0.07185 0.11625 -0.48095 0 0 -0.5 -0.07185 -0.11625 -0.48095 
+-0.43525 0.11625 -0.21695 -0.47555 0 -0.1545 -0.47965 -0.11625 -0.0803 
+-0.3408 0.11625 0.3469 -0.2939 0 0.4045 -0.2246 -0.11625 0.43135 
+0.2246 0.11625 0.43135 0.2939 0 0.4045 0.3408 -0.11625 0.3469 
+0.47965 0.11625 0.0803 0.47555 0 0.1545 0.43525 -0.11625 0.21695 
+0.2246 0.11625 -0.43135 0.2939 0 -0.4045 0.3408 -0.11625 -0.3469 
+-0.3408 0.11625 -0.3469 -0.2939 0 -0.4045 -0.2246 -0.11625 -0.43135 
+-0.43525 0.11625 0.21695 -0.47555 0 0.1545 -0.47965 -0.11625 0.0803 
+0.07185 0.11625 0.48095 0 0 0.5 -0.07185 -0.11625 0.48095 
+0.2564 -0.25285 -0.3469 0.13145 -0.26285 -0.4045 -0.0035155 -0.25285 -0.43135 
+-0.2507 -0.25285 -0.351 -0.3441 -0.26285 -0.25 -0.4113 -0.25285 -0.12995 
+-0.4113 -0.25285 0.12995 -0.3441 -0.26285 0.25 -0.2507 -0.25285 0.351 
+-0.0035155 -0.25285 0.43135 0.13145 -0.26285 0.4045 0.2564 -0.25285 0.3469 
+0.40915 -0.25285 0.13665 0.42535 -0.26285 0 0.40915 -0.25285 -0.13665 
+0.11055 -0.48095 -0.0803 0.21265 -0.42535 -0.1545 0.2986 -0.3373 -0.21695 
+-0.04222 -0.48095 -0.12995 -0.08125 -0.42535 -0.25 -0.11405 -0.3373 -0.351 
+-0.13665 -0.48095 0 -0.26285 -0.42535 0 -0.3691 -0.3373 0 
+-0.04222 -0.48095 0.12995 -0.08125 -0.42535 0.25 -0.11405 -0.3373 0.351 
+0.11055 -0.48095 0.0803 0.21265 -0.42535 0.1545 0.2986 -0.3373 0.21695 
+0.1809 0.4472 -0.13145 0.30895 0.3702 -0.13235 0.22135 0.3702 -0.2529 
+-0.0691 0.4472 -0.21265 -0.030395 0.3702 -0.3347 -0.17215 0.3702 -0.28865 
+-0.2236 0.4472 0 -0.3277 0.3702 -0.0745 -0.3277 0.3702 0.0745 
+-0.0691 0.4472 0.21265 -0.17215 0.3702 0.28865 -0.030395 0.3702 0.3347 
+0.1809 0.4472 0.13145 0.22135 0.3702 0.2529 0.30895 0.3702 0.13235 
+0.5 0 0 0.4777 -0.12755 0.0745 0.4777 -0.12755 -0.0745 
+0.1545 0 -0.47555 0.2185 -0.12755 -0.43125 0.07675 -0.12755 -0.47735 
+-0.4045 0 -0.2939 -0.34265 -0.12755 -0.34105 -0.43025 -0.12755 -0.2205 
+-0.4045 0 0.2939 -0.43025 -0.12755 0.2205 -0.34265 -0.12755 0.34105 
+0.1545 0 0.47555 0.07675 -0.12755 0.47735 0.2185 -0.12755 0.43125 
+0.4045 0 -0.2939 0.34265 0.12755 -0.34105 0.43025 0.12755 -0.2205 
+-0.1545 0 -0.47555 -0.2185 0.12755 -0.43125 -0.07675 0.12755 -0.47735 
+-0.5 0 0 -0.4777 0.12755 0.0745 -0.4777 0.12755 -0.0745 
+-0.1545 0 0.47555 -0.07675 0.12755 0.47735 -0.2185 0.12755 0.43125 
+0.4045 0 0.2939 0.43025 0.12755 0.2205 0.34265 0.12755 0.34105 
+0.0691 -0.4472 -0.21265 0.030395 -0.3702 -0.3347 0.17215 -0.3702 -0.28865 
+-0.1809 -0.4472 -0.13145 -0.30895 -0.3702 -0.13235 -0.22135 -0.3702 -0.2529 
+-0.1809 -0.4472 0.13145 -0.22135 -0.3702 0.2529 -0.30895 -0.3702 0.13235 
+0.0691 -0.4472 0.21265 0.17215 -0.3702 0.28865 0.030395 -0.3702 0.3347 
+0.2236 -0.4472 0 0.3277 -0.3702 -0.0745 0.3277 -0.3702 0.0745 
+
+POLYGONS 320 1280
+3 0 12 15 
+3 12 13 102 
+3 12 102 15 
+3 15 102 16 
+3 13 14 103 
+3 13 103 102 
+3 102 103 104 
+3 102 104 16 
+3 16 104 17 
+3 14 1 27 
+3 14 27 103 
+3 103 27 28 
+3 103 28 104 
+3 104 28 29 
+3 104 29 17 
+3 17 29 2 
+3 0 15 18 
+3 15 16 105 
+3 15 105 18 
+3 18 105 19 
+3 16 17 106 
+3 16 106 105 
+3 105 106 107 
+3 105 107 19 
+3 19 107 20 
+3 17 2 30 
+3 17 30 106 
+3 106 30 31 
+3 106 31 107 
+3 107 31 32 
+3 107 32 20 
+3 20 32 3 
+3 0 18 21 
+3 18 19 108 
+3 18 108 21 
+3 21 108 22 
+3 19 20 109 
+3 19 109 108 
+3 108 109 110 
+3 108 110 22 
+3 22 110 23 
+3 20 3 33 
+3 20 33 109 
+3 109 33 34 
+3 109 34 110 
+3 110 34 35 
+3 110 35 23 
+3 23 35 4 
+3 0 21 24 
+3 21 22 111 
+3 21 111 24 
+3 24 111 25 
+3 22 23 112 
+3 22 112 111 
+3 111 112 113 
+3 111 113 25 
+3 25 113 26 
+3 23 4 36 
+3 23 36 112 
+3 112 36 37 
+3 112 37 113 
+3 113 37 38 
+3 113 38 26 
+3 26 38 5 
+3 0 24 12 
+3 24 25 114 
+3 24 114 12 
+3 12 114 13 
+3 25 26 115 
+3 25 115 114 
+3 114 115 116 
+3 114 116 13 
+3 13 116 14 
+3 26 5 39 
+3 26 39 115 
+3 115 39 40 
+3 115 40 116 
+3 116 40 41 
+3 116 41 14 
+3 14 41 1 
+3 1 57 42 
+3 57 58 117 
+3 57 117 42 
+3 42 117 43 
+3 58 59 118 
+3 58 118 117 
+3 117 118 119 
+3 117 119 43 
+3 43 119 44 
+3 59 10 84 
+3 59 84 118 
+3 118 84 85 
+3 118 85 119 
+3 119 85 86 
+3 119 86 44 
+3 44 86 6 
+3 2 60 45 
+3 60 61 120 
+3 60 120 45 
+3 45 120 46 
+3 61 62 121 
+3 61 121 120 
+3 120 121 122 
+3 120 122 46 
+3 46 122 47 
+3 62 6 72 
+3 62 72 121 
+3 121 72 73 
+3 121 73 122 
+3 122 73 74 
+3 122 74 47 
+3 47 74 7 
+3 3 63 48 
+3 63 64 123 
+3 63 123 48 
+3 48 123 49 
+3 64 65 124 
+3 64 124 123 
+3 123 124 125 
+3 123 125 49 
+3 49 125 50 
+3 65 7 75 
+3 65 75 124 
+3 124 75 76 
+3 124 76 125 
+3 125 76 77 
+3 125 77 50 
+3 50 77 8 
+3 4 66 51 
+3 66 67 126 
+3 66 126 51 
+3 51 126 52 
+3 67 68 127 
+3 67 127 126 
+3 126 127 128 
+3 126 128 52 
+3 52 128 53 
+3 68 8 78 
+3 68 78 127 
+3 127 78 79 
+3 127 79 128 
+3 128 79 80 
+3 128 80 53 
+3 53 80 9 
+3 5 69 54 
+3 69 70 129 
+3 69 129 54 
+3 54 129 55 
+3 70 71 130 
+3 70 130 129 
+3 129 130 131 
+3 129 131 55 
+3 55 131 56 
+3 71 9 81 
+3 71 81 130 
+3 130 81 82 
+3 130 82 131 
+3 131 82 83 
+3 131 83 56 
+3 56 83 10 
+3 6 62 44 
+3 62 61 132 
+3 62 132 44 
+3 44 132 43 
+3 61 60 133 
+3 61 133 132 
+3 132 133 134 
+3 132 134 43 
+3 43 134 42 
+3 60 2 29 
+3 60 29 133 
+3 133 29 28 
+3 133 28 134 
+3 134 28 27 
+3 134 27 42 
+3 42 27 1 
+3 7 65 47 
+3 65 64 135 
+3 65 135 47 
+3 47 135 46 
+3 64 63 136 
+3 64 136 135 
+3 135 136 137 
+3 135 137 46 
+3 46 137 45 
+3 63 3 32 
+3 63 32 136 
+3 136 32 31 
+3 136 31 137 
+3 137 31 30 
+3 137 30 45 
+3 45 30 2 
+3 8 68 50 
+3 68 67 138 
+3 68 138 50 
+3 50 138 49 
+3 67 66 139 
+3 67 139 138 
+3 138 139 140 
+3 138 140 49 
+3 49 140 48 
+3 66 4 35 
+3 66 35 139 
+3 139 35 34 
+3 139 34 140 
+3 140 34 33 
+3 140 33 48 
+3 48 33 3 
+3 9 71 53 
+3 71 70 141 
+3 71 141 53 
+3 53 141 52 
+3 70 69 142 
+3 70 142 141 
+3 141 142 143 
+3 141 143 52 
+3 52 143 51 
+3 69 5 38 
+3 69 38 142 
+3 142 38 37 
+3 142 37 143 
+3 143 37 36 
+3 143 36 51 
+3 51 36 4 
+3 10 59 56 
+3 59 58 144 
+3 59 144 56 
+3 56 144 55 
+3 58 57 145 
+3 58 145 144 
+3 144 145 146 
+3 144 146 55 
+3 55 146 54 
+3 57 1 41 
+3 57 41 145 
+3 145 41 40 
+3 145 40 146 
+3 146 40 39 
+3 146 39 54 
+3 54 39 5 
+3 11 90 87 
+3 90 91 147 
+3 90 147 87 
+3 87 147 88 
+3 91 92 148 
+3 91 148 147 
+3 147 148 149 
+3 147 149 88 
+3 88 149 89 
+3 92 7 74 
+3 92 74 148 
+3 148 74 73 
+3 148 73 149 
+3 149 73 72 
+3 149 72 89 
+3 89 72 6 
+3 11 93 90 
+3 93 94 150 
+3 93 150 90 
+3 90 150 91 
+3 94 95 151 
+3 94 151 150 
+3 150 151 152 
+3 150 152 91 
+3 91 152 92 
+3 95 8 77 
+3 95 77 151 
+3 151 77 76 
+3 151 76 152 
+3 152 76 75 
+3 152 75 92 
+3 92 75 7 
+3 11 96 93 
+3 96 97 153 
+3 96 153 93 
+3 93 153 94 
+3 97 98 154 
+3 97 154 153 
+3 153 154 155 
+3 153 155 94 
+3 94 155 95 
+3 98 9 80 
+3 98 80 154 
+3 154 80 79 
+3 154 79 155 
+3 155 79 78 
+3 155 78 95 
+3 95 78 8 
+3 11 99 96 
+3 99 100 156 
+3 99 156 96 
+3 96 156 97 
+3 100 101 157 
+3 100 157 156 
+3 156 157 158 
+3 156 158 97 
+3 97 158 98 
+3 101 10 83 
+3 101 83 157 
+3 157 83 82 
+3 157 82 158 
+3 158 82 81 
+3 158 81 98 
+3 98 81 9 
+3 11 87 99 
+3 87 88 159 
+3 87 159 99 
+3 99 159 100 
+3 88 89 160 
+3 88 160 159 
+3 159 160 161 
+3 159 161 100 
+3 100 161 101 
+3 89 6 86 
+3 89 86 160 
+3 160 86 85 
+3 160 85 161 
+3 161 85 84 
+3 161 84 101 
+3 101 84 10 
+
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.vtp
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.vtp
@ -0,0 +1,33 @@
+<?xml version="1.0"?>
+<VTKFile type="PolyData" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <PolyData>
+    <Piece NumberOfPoints="162"                  NumberOfVerts="0"                    NumberOfLines="0"                    NumberOfStrips="0"                    NumberOfPolys="320"                 >
+      <PointData>
+      </PointData>
+      <CellData>
+      </CellData>
+      <Points>
+        <DataArray type="Float32" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0.49997970173"        RangeMax="0.50002626622"        offset="0"                   />
+      </Points>
+      <Verts>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1052"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1068"                />
+      </Verts>
+      <Lines>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1084"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1100"                />
+      </Lines>
+      <Strips>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1116"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1132"                />
+      </Strips>
+      <Polys>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1148"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="2700"                />
+      </Polys>
+    </Piece>
+  </PolyData>
+  <AppendedData encoding="base64">
+   _AQAAAACAAACYBwAAAwMAAA==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
+  </AppendedData>
+</VTKFile>
--- a/Polyhedron/demo/Polyhedron/testing/data/sphere.vtu
+++ b/Polyhedron/demo/Polyhedron/testing/data/sphere.vtu
@ -0,0 +1,22 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <UnstructuredGrid>
+    <Piece NumberOfPoints="162"                  NumberOfCells="320"                 >
+      <PointData>
+      </PointData>
+      <CellData>
+      </CellData>
+      <Points>
+        <DataArray type="Float32" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0.49997970173"        RangeMax="0.50002626622"        offset="0"                   />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1052"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="2604"                />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="3372"                />
+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
+  <AppendedData encoding="base64">
+   _AQAAAACAAACYBwAAAwMAAA==eJxNVUtIVVEUfQQV9IECQUtpFNGg3yQo6q43kz7UKIKIisJeDYImSaEGSuGgsMlTkVBpEEVUmgZB5d1akz4YkTSRHmHSoKJ0kGUIRWftd26tO3gs9lt37XX259xczp88fwqzH1GYrQPxnotLHTc8G7fx5KER17a3KoZwEOLERk6Ik2N8N2g6jppZXPkoW8gN82fu22JU5H96jP+RS3x3bgidg3ccf5hal5DTs3y+FQo3kjKn2ZYUPyfk1D64b4tOTqbk7DtzPf06csBz5jevshWTXUbO6rWHlZMIB8KB5ILkguTCl44xXKlvcT8T6++hfKZmGznY7HH62VtX2Eb8abxkb68u8HNfW/naSrUXjPGJ7gGraXrjONTAa5fVRuIQPkQHA6f+6UPyQvyoT/S3/0BjxVTC+uxq/O55WJ/K8feMp6xP1ZpiQk44v+X+P8MhnpLDeOAbOeQHHct0gj7jKfX3n+9zDj0va+h0Dj1f/n3cOfQcsPshDhxknPCu++G74jkRzxDPqmOiY6Jj4sfEj4kfPRfkXJBzJVIfSH3yUh/2izU35gr98h1irjAPjxlnrtAv9tQ4J6FfvkOcn9Avj3OuBEM4kHchmpBc6gFhlhxzljjLZR2fsSzOvfCex93xOyDuDnfQ2OuwF97/uIMpOXEHU3J4Fmpls8M8ZY7vMvfL4i5nOhAdiA7ETyJ+IH7CfbIVvL+4E4MbevHuUoqnrQuteOuY45qmlnAvtaXkcNen//waYnz00G2r3LHJiKdfFP1+Iofedj+/6fH6YlcqOBEdyLsQTfUD8QDxhuze5VPVMYNz3fOM+oJTnpP/cwbP2hGPvxotWfXGnoR4y4kZnydyOMtjp/uN8erePnu0s+T4ycujyoHEIXxILog+JK/fNZKLccRcjpmLsyKeqY/oOSWm5+y+j2d3Tjx7hlPRgbwL0VQ/EA8Qb+E71ZbwOxT7vj3U32Lf2Qtj30O//FsV54c9tTg/jjk/woHEIXzNBdGH5PVvJjlxxpwTZyzDyV+565JTAQAAAACAAAAAHgAAegQAAA==eJxdl9lXTlEcQD/zVESZIslUiIjIPM9DqYgGGoiIUkqKiIiIEhER/6kHv/3Q/l722nuds866Z911zv0Sif+/pOACeXKwQb1B4xeop2j+/OBtdbxBpN9Rx1NE+kKtNyW4Qh2/LdJXquN3RHqGOr5QpE9NTP6xf4vkPF+jeqPGL1JP1XzWv6uON4r0e+p4qkhP03o85yp1/K5Iz1TH74n01ep4mkiflpj8Y/8Wy3m+JvUmjV+svkTzWf++Ot4k0h+o40tE+lKtx3NmqeP3RfoadfyBSF+rji8V6dMTk3/s3zI5z9es3qzxy9SXaz7rt6jjzSL9oTq+XKSnaz2ec5063iLS16vjD0X6BnU8XaTPSEz+sX9Jcp6vVb1V45PUOd+Zz/pt6nirSH+kjieLdM531uM5s9XxNpGeo44/Eukb1fH5In2KuCe4Sb432K7ervGb1Ddr/r5ghzreLtIfq+ObRXqu1psbLFPHO0T6ZXX8sUi/oo7nivSZQe6n/cEt8gPBTvVOjd+ivlXzDwafqOOdIr1LHd8q0vO0Hs95Wh1/ItLPqONdIv2sOp4n0mcFuZ8OBbfJDwe71bs1fpv6ds0/EnyqjneL9Gfq+HaRnq/1eM5z6vhTkX5eHX8m0i+o4/kifXaQ++locIf8WLBHvUfjd6jv1PzjwefqeI9If6GO7xTpBVqP57yojj8X6UXq+AuRXqyOF4j0OUHupxPBXfKTwV71Xo3fpb5b808FX6rjvSL9lTq+W6QXaj2e85I6/lKkl6jjr0R6qTpeKNK5lzgfORdz5ZzTfep9Gp+rzr3IfO6N1+p4n0h/o477/qXzHcB63G8Z6vhrkb5SHX8j0leo4/4+ofPdw/nIuZgnPxzsV+/X+Dx17kXmc2+8Vcf7Rfo7ddz3L53vANbjflutjr8V6Znq+DuRvkod9/cJnfeC85FzMV/OOT2gPqDx+erci8zn3nivjg+I9A/quO9fOt8BrMf9tlYdfy/S16jjH0R6ljru7xM67wXnI+digZxzelB9UOML1LkXmc+98VEdHxTpn9Rx3790vgNYj/ttgzr+UaSvV8c/ifR16ri/T+i8F9wD/C8plPM/aUh9SOML1bkXmc//tmF1fEikf1bHff/S+Q5gPc7Zjer4sEjPUcc/i/RsddzfJ3Tei3nBimC5vDI4oj6i8eXqVzW/KvhFHR8R6V/V8asi/ZrW4347q45/Eeln1PGvIv20On5NpPPdw/5XByvk14Oj6qMaX6HO/jL/RvCbOj4q0r+r45Uinf1lPe63C+r4N5F+Xh3/LtLPqeNVIp33gv2vCVbLa4Nj6mMaX63O/jK/LvhDHR8T6T/V8esinf1lPe63YnX8h0gvUsd/ivSL6vgNkc57wf7XB2vkN4Pj6uMaX6PO/jL/VvCXOj4u0n+r47Uinf1lPe63UnX8l0gvUcd/i/RL6nidSOe9YP85v+vlnK8T6hMaX6/O/jKf8++POj4h0v+q4zdFOvvLepyzV9TxPyL9sjr+V6SXqeO3RDrvxT+JozF0AQAAAACAAAAACgAALgIAAA==eJwtxVlgCAQAANCZWtREJDTmvltWtIzVipb7ysqR1VhIxmqMaRkiNFZz5r6XMbm1rNQc5S50IGeXct/pUHzsvZ9XNKBQkIs72CVd2mVd3iEOdVXXcG3Xc5jD3dARjnSUo93MMW7pNm7vTo51F3d3nOOd4D7u50QnOdkpTnWa0z3KYzzOGc50lqd4umd6jud7kbOd41yv9Bqvd57zvckF3uqvvNN7/I0P+Hsf8hEf90/+1b/7jM/7kq/6T//tm77lwCKF3+livsf3+j7f73J+0JVcxdVdy3X9kBv4UT/mxm7qJ/20n3ELt3Y7d3Rnv+Bu7uGX3cu9/ar7e6Df8GAP9Zse7pEe7bF+1xP9vid7mmd4tud5oZd4qZf7I6/2On/sjf7MX3iLv/QO7/bX3u/vfNA/+phP+hef8mmf80Vf8XX/5X/9v4sEFn6H7/LdLuFSLuMHXMEVXdnVXNN1XN8P+xE38uNu4if8lJv7WbdyW3fwc37eXf2iX3JPv+K+fs0D/LoHeYiH+S2P8Nt+x+M9we95kqf6A8/yXC/wYn/oZV7hVV7rDf7En/pzb/Y2b/cu7/U+f+sffNhHfcI/+zf/4bO+4Mu+5hv+x/85oKgc5OIOdkmXdlmXd4hDXdU1XNv1HOZwN3SEIx3laDdzjFu6jdu7k2Pdxd0d53gnuI/7OdFJTnaKU53mdI/yGI9zhjOd5Sme7pme4/le5GznONcrvcbrned8b3KBbwOE3pmjAQAAAACAAABAAQAADQAAAA==eJxjZR0FlAAA7I0GQQ==
+  </AppendedData>
+</VTKFile>
--- a/Polyhedron/demo/Polyhedron/testing/test_demo.js
+++ b/Polyhedron/demo/Polyhedron/testing/test_demo.js
@ -0,0 +1,88 @@
+var testItem = "./testing/data/sphere.off";
+main_window.open(testItem, 'off_plugin');
+main_window.test_all_actions();
+testItem = "./testing/data/oni.pwn";
+main_window.open(testItem, 'xyz_plugin');
+main_window.test_all_actions();
+
+var itemA = "./testing/data/itema.off";
+var itemB = "./testing/data/itemb.off";
+main_window.open(itemA, 'off_to_nef_plugin');
+main_window.open(itemB, 'off_to_nef_plugin');
+scene.setItemA(0);
+scene.setItemB(1);
+main_window.test_all_actions();
+
+testItem = "./testing/data/poly.polylines.txt";
+main_window.open(testItem, 'polylines_io_plugin');
+main_window.test_all_actions();
+
+testItem = "./testing/data/sphere.mesh";
+main_window.open(testItem, 'C3t3_io_plugin');
+main_window.test_all_actions();
+
+testItem = "./testing/data/camera.camera.txt";
+main_window.open(testItem, 'camera_positions_plugin');
+
+testItem = "./testing/data/sphere.ts";
+main_window.open(testItem, 'gocad_plugin');
+scene.erase(0);
+
+testItem = "./testing/data/sphere.nef3";
+main_window.open(testItem, 'io_nef_plugin');
+scene.erase(0);
+
+testItem = "./testing/data/sphere.ply";
+main_window.open(testItem, 'ply_plugin');
+scene.erase(0);
+
+testItem = "./testing/data/oni.ply";
+main_window.open(testItem, 'ply_plugin');
+scene.erase(0);
+
+testItem = "./testing/data/sphere.stl";
+main_window.open(testItem, 'stl_plugin');
+scene.erase(0);
+
+if (typeof vtk_plugin !== "undefined") {
+  testItem = "./testing/data/sphere.vtk";
+  main_window.open(testItem, 'vtk_plugin');
+  scene.erase(0);
+
+  testItem = "./testing/data/sphere.vtp";
+  main_window.open(testItem, 'vtk_plugin');
+  scene.erase(0);
+
+  testItem = "./testing/data/sphere.vtu";
+  main_window.open(testItem, 'vtk_plugin');
+  scene.erase(0);
+}
+
+testItem = "./testing/data/sphere.off";
+main_window.open(testItem, 'off_plugin');
+testItem = "./testing/data/sphere.selection.txt";
+main_window.open(testItem, 'selection_sm_plugin');
+scene.erase(1);
+scene.erase(0);
+
+testItem = "./testing/data/mini.surf";
+main_window.open(testItem, 'surf_io_plugin');
+scene.erase(3); //id of the group contaning the items.
+
+testItem = "./testing/data/sphere.inr";
+main_window.open(testItem, 'segmented images');
+scene.erase(0);
+
+testItem = "./testing/data/sphere.inr.gz";
+main_window.open(testItem, 'segmented images');
+scene.erase(0);
+
+testItem = "./testing/data/sphere.inr.gz";
+main_window.open(testItem, 'segmented images');
+scene.erase(0);
+
+if (typeof las_plugin !== "undefined") {
+    testItem = "./testing/data/oni.las";
+    main_window.open(testItem, 'las_plugin');
+    scene.erase(0);
+}
--- a/Polyhedron/demo/Polyhedron/triangulate_primitive.h
+++ b/Polyhedron/demo/Polyhedron/triangulate_primitive.h
@ -3,7 +3,7 @@
 #include <CGAL/Triangulation_vertex_base_with_info_2.h>
 #include <CGAL/Triangulation_face_base_with_info_2.h>
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
 #include <CGAL/Three/Scene_item.h>
 #include <queue>

@ -20,7 +20,7 @@ class FacetTriangulator
 typedef typename Kernel::Vector_3 Vector;


- typedef CGAL::Triangulation_2_projection_traits_3<Traits>   P_traits;
+ typedef CGAL::Projection_traits_3<Traits>   P_traits;

 typedef CGAL::Triangulation_vertex_base_with_info_2<halfedge_descriptor,
                                                     P_traits>        Vb;
--- a/Three/include/CGAL/Three/Three.h
+++ b/Three/include/CGAL/Three/Three.h
@ -22,6 +22,8 @@
 #include <CGAL/Three/Viewer_interface.h>
 #include <QMainWindow>
 #include <QApplication>
+#include <QMutex>
+#include <QWaitCondition>

 #ifdef three_EXPORTS
 #  define THREE_EXPORT Q_DECL_EXPORT
@ -58,6 +60,9 @@ public:
  static int getDefaultPointSize();
  static int getDefaultNormalLength();
  static int getDefaultLinesWidth();
+  static bool &isLocked();
+  static QMutex *getMutex();
+  static QWaitCondition* getWaitCondition();
  /*! \brief Adds a dock widget to the interface
   *
   * Adds a dock widget in the left section of the MainWindow. If the slot is already
@ -105,6 +110,7 @@ public:
   * Displays an error popup.
   */
  static void error(QString title, QString message);
+  static void lock_test_item(bool b);
 protected:
  static QMainWindow* s_mainwindow;
  static Viewer_interface* s_mainviewer;
@ -117,6 +123,9 @@ protected:
  static int default_point_size;
  static int default_normal_length;
  static int default_lines_width;
+  static QMutex* s_mutex;
+  static QWaitCondition* s_wait_condition;
+  static bool s_is_locked;

 public:
  struct CursorScopeGuard
--- a/Triangulation_2/doc/Triangulation_2/Triangulation_2.txt
+++ b/Triangulation_2/doc/Triangulation_2/Triangulation_2.txt
@ -487,7 +487,9 @@ See Section \ref Section_2D_Triangulations_Delaunay for an example.
 `Projection_traits_xz_3<R>` to
 deal with projections on the
 `yz` plane and `xz`-plane,
-respectively.
+respectively, as well as the geometric traits class
+`Projection_traits_3<R>` that deals with projections onto an
+arbitrary plane defined by its orthogonal vector.

 \subsection Subsection_2D_Triangulations_Basic_Example Example of a Basic Triangulation

--- a/Triangulation_2/examples/Triangulation_2/triangulation_projection_traits.cpp
+++ b/Triangulation_2/examples/Triangulation_2/triangulation_projection_traits.cpp
@ -0,0 +1,39 @@
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Constrained_Delaunay_triangulation_2.h>
+#include <CGAL/Projection_traits_3.h>
+
+#include <iostream>
+#include <vector>
+
+typedef CGAL::Exact_predicates_inexact_constructions_kernel                K;
+typedef CGAL::Projection_traits_3<K>                                       GT;
+
+typedef CGAL::Exact_predicates_tag                                         Itag;
+typedef CGAL::Constrained_Delaunay_triangulation_2<GT, CGAL::Default, Itag> CDT;
+typedef CDT::Point                                                         Point;
+typedef CDT::Edge                                                          Edge;
+
+int main()
+{
+  //4 points on the diagonal plane of a cube
+  std::vector<Point> ps(4);
+  ps[0] = Point(0,0,0);
+  ps[1] = Point(3,1,-1);
+  ps[2] = Point(-1, 3, -3);
+  ps[3] = Point(1,0.5,-0.5);
+
+  GT gt{ { 0, 1, 1} };
+  CDT cdt(gt);
+  for(int i = 0; i< 4; ++i)
+    cdt.insert(ps[i]);
+
+  for(int i = 1; i < 3; ++i)
+    cdt.insert_constraint(ps[i], ps[i+1]);
+
+  for(CDT::Face_handle f : cdt.all_face_handles())
+  {
+   for(int i=0; i<3; ++i)
+     std::cout << f->vertex(i)->point() << " ";
+   std::cout << std::endl;
+  }
+}
--- a/Triangulation_2/include/CGAL/Triangulation_2_projection_traits_3.h
+++ b/Triangulation_2/include/CGAL/Triangulation_2_projection_traits_3.h
@ -10,43 +10,46 @@
 //
 // Author(s)     : Laurent Rineau

-
 #ifndef CGAL_TRIANGULATION_2_PROJECTION_TRAITS_3_H
 #define CGAL_TRIANGULATION_2_PROJECTION_TRAITS_3_H

 #include <CGAL/license/Triangulation_2.h>

+#define CGAL_DEPRECATED_HEADER "<CGAL/Triangulation_2_projection_traits_3.h>"
+#define CGAL_REPLACEMENT_HEADER "<CGAL/Projection_traits_3.h>"
+#include <CGAL/Installation/internal/deprecation_warning.h>

-#include <CGAL/Triangulation_2/internal/Triangulation_2_filtered_projection_traits_3.h>
+#ifndef CGAL_NO_DEPRECATED_CODE

-namespace CGAL{
+#include <CGAL/Kernel_23/internal/Filtered_projection_traits_3.h>
+
+namespace CGAL {

-// This declaration is needed to break the cyclic dependency.
 template < class Filtered_kernel >
-class Triangulation_2_filtered_projection_traits_3;
+class Filtered_projection_traits_3;

-template <class Kernel, bool Has_filtered_predicates=Kernel::Has_filtered_predicates>
+template <class Kernel, bool Has_filtered_predicates = Kernel::Has_filtered_predicates>
 class Triangulation_2_projection_traits_3
-  : public Triangulation_2_projection_traits_base_3<Kernel>
+  : public Projection_traits_base_3<Kernel>
 {
 public:
-  explicit
-  Triangulation_2_projection_traits_3(const typename Kernel::Vector_3& n_)
-    : Triangulation_2_projection_traits_base_3<Kernel>(n_)
+  explicit Triangulation_2_projection_traits_3(const typename Kernel::Vector_3& n_)
+    : Projection_traits_base_3<Kernel>(n_)
  {}
 };

 template <class Kernel>
 class Triangulation_2_projection_traits_3<Kernel, true>
-  : public Triangulation_2_filtered_projection_traits_3<Kernel>
+  : public Filtered_projection_traits_3<Kernel>
 {
 public:
-  explicit
-  Triangulation_2_projection_traits_3(const typename Kernel::Vector_3& n_)
-    : Triangulation_2_filtered_projection_traits_3<Kernel>(n_)
+  explicit Triangulation_2_projection_traits_3(const typename Kernel::Vector_3& n_)
+    : Filtered_projection_traits_3<Kernel>(n_)
  {}
 };

 } // end namespace CGAL

+#endif //CGAL_NO_DEPRECATED_CODE
+
 #endif // CGAL_TRIANGULATION_2_PROJECTION_TRAITS_3_H
--- a/Triangulation_2/test/Triangulation_2/CMakeLists.txt
+++ b/Triangulation_2/test/Triangulation_2/CMakeLists.txt
@ -29,5 +29,6 @@ if(BUILD_TESTING)
    execution___of__test_regular_triangulation_2
    execution___of__test_const_del_triangulation_2
    execution___of__test_regular_hierarchy_2
+    execution___of__test_deprecated_projection_traits
    PROPERTIES RESOURCE_LOCK Triangulation_2_Tests_IO)
 endif()
--- a/Triangulation_2/test/Triangulation_2/test_cdt_2_projection_traits_special_case.cpp
+++ b/Triangulation_2/test/Triangulation_2/test_cdt_2_projection_traits_special_case.cpp
@ -1,13 +1,15 @@
 #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
 #include <CGAL/Exact_predicates_exact_constructions_kernel.h>
+
 #include <CGAL/Constrained_Delaunay_triangulation_2.h>
-#include <CGAL/Triangulation_2_projection_traits_3.h>
+#include <CGAL/Projection_traits_3.h>
+
+#include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
 #include <CGAL/Triangulation_2_projection_traits_3.h>

 #include <string>
 #include <fstream>

-
 typedef const double vec[3];
 const vec input[10] =
 { { -0.37503900000000001, 0.5, 0.47710999999999998                     },
@ -128,20 +130,10 @@ int main()
  typedef CGAL::Exact_predicates_inexact_constructions_kernel Epick;

  bool ok = true;
-  ok = ok &&
-      test<CGAL::Epick,
-           CGAL::Triangulation_2_projection_traits_3<Epick> >
-      ("CDT_2 in a 3D plane, with Epick");
-  ok = ok &&
-      test<CGAL::Epeck,
-           CGAL::Triangulation_2_projection_traits_3<Epeck> >
-      ("CDT_2 in a 3D plane, with Epeck");
-  ok = ok && test_segment_intersections<CGAL::Epick,
-           CGAL::Triangulation_2_projection_traits_3<Epick> >
-      ("CDT_2 traits intersection with Epick");
-  ok = ok && test_segment_intersections<CGAL::Epeck,
-           CGAL::Triangulation_2_projection_traits_3<Epeck> >
-      ("CDT_2 traits intersection with Epeck");
+  ok = ok && test<CGAL::Epick, CGAL::Projection_traits_3<Epick> >("CDT_2 in a 3D plane, with Epick");
+  ok = ok && test<CGAL::Epeck, CGAL::Projection_traits_3<Epeck> >("CDT_2 in a 3D plane, with Epeck");
+  ok = ok && test_segment_intersections<CGAL::Epick, CGAL::Triangulation_2_projection_traits_3<Epick> >("CDT_2 traits intersection with Epick");
+  ok = ok && test_segment_intersections<CGAL::Epeck, CGAL::Triangulation_2_projection_traits_3<Epeck> >("CDT_2 traits intersection with Epeck");

  return ok ? 0 : 1;
 }
--- a/Triangulation_2/test/Triangulation_2/test_deprecated_projection_traits.cpp
+++ b/Triangulation_2/test/Triangulation_2/test_deprecated_projection_traits.cpp
@ -0,0 +1,34 @@
+#include <CGAL/Installation/internal/disable_deprecation_warnings_and_errors.h>
+
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Constrained_Delaunay_triangulation_2.h>
+#include <CGAL/Triangulation_2_projection_traits_3.h>
+
+#include <iostream>
+#include <vector>
+
+typedef CGAL::Exact_predicates_inexact_constructions_kernel                K;
+typedef CGAL::Triangulation_2_projection_traits_3<K>                       GT;
+
+typedef CGAL::Exact_predicates_tag                                         Itag;
+typedef CGAL::Constrained_Delaunay_triangulation_2<GT, CGAL::Default, Itag> CDT;
+typedef CDT::Point                                                         Point;
+typedef CDT::Edge                                                          Edge;
+
+int main()
+{
+  //4 points on the diagonal plane of a cube
+  std::vector<Point> ps(4);
+  ps[0] = Point(0,0,0);
+  ps[1] = Point(3,1,-1);
+  ps[2] = Point(-1, 3, -3);
+  ps[3] = Point(1,0.5,-0.5);
+
+  GT gt{ { 0, 1, 1} };
+  CDT cdt(gt);
+  for(int i = 0; i< 4; ++i)
+    cdt.insert(ps[i]);
+
+  for(int i = 1; i < 3; ++i)
+    cdt.insert_constraint(ps[i], ps[i+1]);
+}