\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Polygon Mesh Processing

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Polygon_mesh_processing/mesh_slicer_example.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/boost/graph/graph_traits_Surface_mesh.h>
#include <CGAL/AABB_halfedge_graph_segment_primitive.h>
#include <CGAL/AABB_tree.h>
#include <CGAL/AABB_traits.h>
#include <CGAL/Polygon_mesh_slicer.h>
#include <fstream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Surface_mesh<K::Point_3> Mesh;
typedef std::vector<K::Point_3> Polyline_type;
typedef std::list< Polyline_type > Polylines;
typedef CGAL::AABB_halfedge_graph_segment_primitive<Mesh> HGSP;
typedef CGAL::AABB_traits<K, HGSP> AABB_traits;
typedef CGAL::AABB_tree<AABB_traits> AABB_tree;
int main(int argc, char* argv[])
{
const char* filename = (argc > 1) ? argv[1] : "data/eight.off";
std::ifstream input(filename);
Mesh mesh;
if (!input || !(input >> mesh) || mesh.is_empty()) {
std::cerr << "Not a valid off file." << std::endl;
return 1;
}
// Slicer constructor from the mesh
CGAL::Polygon_mesh_slicer<Mesh, K> slicer(mesh);
Polylines polylines;
slicer(K::Plane_3(0, 0, 1, -0.4), std::back_inserter(polylines));
std::cout << "At z = 0.4, the slicer intersects "
<< polylines.size() << " polylines" << std::endl;
polylines.clear();
slicer(K::Plane_3(0, 0, 1, 0.2), std::back_inserter(polylines));
std::cout << "At z = -0.2, the slicer intersects "
<< polylines.size() << " polylines" << std::endl;
polylines.clear();
// Use the Slicer constructor from a pre-built AABB_tree
AABB_tree tree(edges(mesh).first, edges(mesh).second, mesh);
CGAL::Polygon_mesh_slicer<Mesh, K> slicer_aabb(mesh, tree);
slicer_aabb(K::Plane_3(0, 0, 1, -0.4), std::back_inserter(polylines));
std::cout << "At z = 0.4, the slicer intersects "
<< polylines.size() << " polylines" << std::endl;
polylines.clear();
return 0;
}