mirror of https://github.com/CGAL/cgal
Add an example showing the usage of PMP::Locate
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@ -535,6 +535,8 @@ finding the nearest point on a mesh given a point or a ray
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(`CGAL::Polygon_mesh_processing::locate_with_AABB_tree()`, and similar), and location-based predicates
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(for example, `CGAL::Polygon_mesh_processing::is_on_face_border()`).
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The example \ref Polygon_mesh_processing/locate_example.cpp presents a few of these functions.
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****************************************
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\section PMPOrientation Orientation
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@ -25,4 +25,5 @@
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\example Polygon_mesh_processing/repair_polygon_soup_example.cpp
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\example Polygon_mesh_processing/mesh_smoothing_example.cpp
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\example Polygon_mesh_processing/shape_smoothing_example.cpp
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\example Polygon_mesh_processing/locate_example.cpp
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*/
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@ -85,6 +85,7 @@ create_single_source_cgal_program( "detect_features_example.cpp" )
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create_single_source_cgal_program( "manifoldness_repair_example.cpp" )
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create_single_source_cgal_program( "repair_polygon_soup_example.cpp" )
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create_single_source_cgal_program( "mesh_smoothing_example.cpp")
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create_single_source_cgal_program( "locate_example.cpp")
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if(OpenMesh_FOUND)
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create_single_source_cgal_program( "compute_normals_example_OM.cpp" )
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@ -0,0 +1,113 @@
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#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
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#include <CGAL/Surface_mesh.h>
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#include <CGAL/AABB_face_graph_triangle_primitive.h>
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#include <CGAL/AABB_tree.h>
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#include <CGAL/AABB_traits.h>
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#include <CGAL/boost/graph/helpers.h>
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#include <CGAL/Dynamic_property_map.h>
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#include <CGAL/Polygon_mesh_processing/locate.h>
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#include <CGAL/Polygon_mesh_processing/triangulate_faces.h>
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typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
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typedef K::FT FT;
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typedef K::Point_2 Point_2;
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typedef K::Ray_2 Ray_2;
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typedef K::Point_3 Point_3;
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typedef K::Ray_3 Ray_3;
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typedef CGAL::Surface_mesh<Point_3> Mesh;
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typedef typename boost::graph_traits<Mesh>::vertex_descriptor vertex_descriptor;
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typedef typename boost::graph_traits<Mesh>::face_descriptor face_descriptor;
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namespace CP = CGAL::parameters;
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namespace PMP = CGAL::Polygon_mesh_processing;
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typedef PMP::Barycentric_coordinates<FT> Barycentric_coordinates;
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typedef PMP::Face_location<Mesh, FT> Face_location;
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int main(int /*argc*/, char** /*argv*/)
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{
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// Generate a simple 3D triangle mesh that with vertices on the plane xOy
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Mesh tm;
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CGAL::make_grid(10, 10, tm);
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PMP::triangulate_faces(tm);
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// Basic usage
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Face_location random_location = PMP::random_location_on_mesh<FT>(tm);
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const face_descriptor f = random_location.first;
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const Barycentric_coordinates& coordinates = random_location.second;
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std::cout << "Random location on the mesh: face " << f
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<< " and with coordinates [" << coordinates[0] << "; "
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<< coordinates[1] << "; "
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<< coordinates[2] << "]\n";
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std::cout << "It corresponds to point (" << PMP::construct_point(random_location, tm) << ")\n\n";
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// Locate a known 3D point in the mesh
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const Point_3 query(1.2, 7.4, 0);
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Face_location query_location = PMP::locate(query, tm);
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std::cout << "Point (" << query << ") is located in face " << query_location.first
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<< " with barycentric coordinates [" << query_location.second[0] << "; "
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<< query_location.second[1] << "; "
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<< query_location.second[2] << "]\n\n";
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// Locate a 3D point in the mesh as the intersection of the mesh and a 3D ray.
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// The AABB tree can be cached in case many queries are performed (otherwise, it is rebuilt
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// on each call, which is expensive).
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typedef CGAL::AABB_face_graph_triangle_primitive<Mesh> AABB_face_graph_primitive;
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typedef CGAL::AABB_traits<K, AABB_face_graph_primitive> AABB_face_graph_traits;
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CGAL::AABB_tree<AABB_face_graph_traits> tree;
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PMP::build_AABB_tree(tm, tree);
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const Ray_3 ray_3(Point_3(4.2, 6.8, 2.4), Point_3(7.2, 2.3, -5.8));
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Face_location ray_location = PMP::locate_with_AABB_tree(ray_3, tree, tm);
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std::cout << "Intersection of the 3D ray and the mesh is in face " << ray_location.first
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<< " with barycentric coordinates [" << ray_location.second[0] << " "
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<< ray_location.second[1] << " "
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<< ray_location.second[2] << "]\n";
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std::cout << "It corresponds to point (" << PMP::construct_point(ray_location, tm) << ")\n";
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std::cout << "Is it on the face's border? " << (PMP::is_on_face_border(ray_location, tm) ? "Yes" : "No") << "\n\n";
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// -----------------------------------------------------------------------------------------------
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// Now, we artifically project the mesh to the natural 2D dimensional plane, with a little translation
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// via a custom vertex point property map
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typedef CGAL::dynamic_vertex_property_t<Point_2> Point_2_property;
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typedef typename boost::property_map<Mesh, Point_2_property>::type Projection_pmap;
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Projection_pmap projection_pmap = get(Point_2_property(), tm);
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for(vertex_descriptor v : vertices(tm))
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{
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const Point_3& p = tm.point(v);
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put(projection_pmap, v, Point_2(p.x() + 1, p.y())); // simply ignoring the z==0 coordinate and translating along Ox
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}
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// Locate the same 3D point but in a 2D context
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const Point_2 query_2(query.x() + 1, query.y());
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Face_location query_location_2 = PMP::locate(query_2, tm, CP::vertex_point_map(projection_pmap));
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std::cout << "Point (" << query_2 << ") is located in face " << query_location_2.first
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<< " with barycentric coordinates [" << query_location_2.second[0] << "; "
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<< query_location_2.second[1] << "; "
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<< query_location_2.second[2] << "]\n\n";
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// Shoot a 2D ray and locate the intersection with the mesh in 2D
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const Ray_2 ray_2(Point_2(-10, -10), Point_2(10, 10));
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Face_location ray_location_2 = PMP::locate(ray_2, tm, CP::vertex_point_map(projection_pmap)); // This rebuilds an AABB tree on each call
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std::cout << "Intersection of the 2D ray and the mesh is in face " << ray_location_2.first
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<< " with barycentric coordinates [" << ray_location_2.second[0] << "; "
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<< ray_location_2.second[1] << "; "
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<< ray_location_2.second[2] << "]\n";
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std::cout << "It corresponds to point (" << PMP::construct_point(ray_location_2, tm, CP::vertex_point_map(projection_pmap)) << ")\n";
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if(PMP::is_on_mesh_border(ray_location_2, tm))
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std::cout << "It is on the border of the mesh!\n" << std::endl;
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return EXIT_SUCCESS;
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}
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