CGAL 5.6.3 - Polygon Mesh Processing

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Polygon_mesh_processing/hausdorff_bounded_error_distance_example.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Aff_transformation_3.h>
#include <CGAL/IO/OFF.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/Polygon_mesh_processing/remesh.h>
#include <CGAL/Polygon_mesh_processing/distance.h>
#include <CGAL/Polygon_mesh_processing/transform.h>
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using FT = typename Kernel::FT;
using Point_3 = typename Kernel::Point_3;
using Vector_3 = typename Kernel::Vector_3;
using TAG = CGAL::Sequential_tag;
using Surface_mesh = CGAL::Surface_mesh<Point_3>;
using Polyhedron = CGAL::Polyhedron_3<Kernel>;
using Affine_transformation_3 = CGAL::Aff_transformation_3<Kernel>;
namespace PMP = CGAL::Polygon_mesh_processing;
int main(int argc, char** argv) {
const double error_bound = 1e-4;
const std::string filepath = (argc > 1 ? argv[1] : CGAL::data_file_path("meshes/blobby.off"));
// We create a tetrahedron, remesh it, and compute the distance.
// The expected distance is error_bound.
std::cout << std::endl << "* remeshing tetrahedron example:" << std::endl;
Surface_mesh mesh1, mesh2;
CGAL::make_tetrahedron(
Point_3(0, 0, 0), Point_3(2, 0, 0),
Point_3(1, 1, 1), Point_3(1, 0, 2), mesh1);
mesh2 = mesh1;
using edge_descriptor = typename boost::graph_traits<Surface_mesh>::edge_descriptor;
Surface_mesh::Property_map<edge_descriptor, bool> is_constrained_map =
mesh2.add_property_map<edge_descriptor, bool>("e:is_constrained", true).first;
const double target_edge_length = 0.05;
PMP::isotropic_remeshing(
mesh2.faces(), target_edge_length, mesh2,
CGAL::parameters::edge_is_constrained_map(is_constrained_map));
std::cout << "* one-sided bounded-error Hausdorff distance: " <<
PMP::bounded_error_Hausdorff_distance<TAG>(mesh1, mesh2, error_bound) << std::endl;
// We load a mesh, save it in two different containers, and
// translate the second mesh by 1 unit. The expected distance is 1.
std::cout << std::endl << "* moving mesh example:" << std::endl;
Surface_mesh surface_mesh;
CGAL::IO::read_OFF(filepath, surface_mesh);
Polyhedron polyhedron;
CGAL::IO::read_OFF(filepath, polyhedron);
PMP::transform(Affine_transformation_3(CGAL::Translation(),
Vector_3(FT(0), FT(0), FT(1))), polyhedron);
std::cout << "* symmetric bounded-error Hausdorff distance: " <<
PMP::bounded_error_symmetric_Hausdorff_distance<TAG>(surface_mesh, polyhedron, error_bound)
<< std::endl << std::endl;
return EXIT_SUCCESS;
}
CGAL::Aff_transformation_3
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Polyhedron_3
CGAL::Surface_mesh
CGAL::Translation
Kernel::Point_3
Kernel::Vector_3
CGAL::make_tetrahedron
boost::graph_traits< Graph >::halfedge_descriptor make_tetrahedron(const P &p0, const P &p1, const P &p2, const P &p3, Graph &g)
CGAL::IO::read_OFF
bool read_OFF(std::istream &is, Graph &g, const NamedParameters &np=parameters::default_values())
Kernel
CGAL::Sequential_tag