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

CGAL 4.8 - 3D Skin Surface Meshing

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Skin_surface_3/skin_surface_retrieve_defining_weighted_points.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Skin_surface_3.h>
#include <CGAL/Polyhedron_3.h>
#include <CGAL/mesh_skin_surface_3.h>
#include <list>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Skin_surface_traits_3<K> Traits;
typedef CGAL::Skin_surface_3<Traits> Skin_surface_3;
typedef Skin_surface_3::FT FT;
typedef Skin_surface_3::Weighted_point Weighted_point;
typedef Weighted_point::Point Bare_point;
typedef CGAL::Skin_surface_polyhedral_items_3<Skin_surface_3> Polyhedral_items;
typedef CGAL::Polyhedron_3<K, Polyhedral_items> Polyhedron;
int main() {
std::list<Weighted_point> l;
FT shrinkfactor = 0.5;
l.push_front(Weighted_point(Bare_point(0, 0, 0), 1));
l.push_front(Weighted_point(Bare_point(0, 1, 0), 2));
l.push_front(Weighted_point(Bare_point(0, 0, 2), 1));
Skin_surface_3 skin_surface(l.begin(), l.end(), shrinkfactor);
Polyhedron p;
CGAL::mesh_skin_surface_3(skin_surface, p);
for (Polyhedron::Facet_iterator fit = p.facets_begin(); fit != p.facets_end(); ++fit) {
// Retrieve the generating simplex from the regular triangulation
const Skin_surface_3::Simplex &s = fit->containing_simplex();
// Get the weighted points from the simplex
Skin_surface_3::Weighted_point wp[4];
switch (s.dimension()) {
case 0: {
Skin_surface_3::Vertex_handle vh = s;
wp[0] = vh->point();
break;
}
case 1: {
Skin_surface_3::Edge e = s;
wp[0] = e.first->vertex(e.second)->point();
wp[1] = e.first->vertex(e.third)->point();
break;
}
case 2: {
Skin_surface_3::Facet f = s;
wp[0] = f.first->vertex((f.second + 1) & 3)->point();
wp[1] = f.first->vertex((f.second + 2) & 3)->point();
wp[2] = f.first->vertex((f.second + 3) & 3)->point();
break;
}
case 3: {
Skin_surface_3::Cell_handle ch = s;
wp[0] = ch->vertex(0)->point();
wp[1] = ch->vertex(1)->point();
wp[2] = ch->vertex(2)->point();
wp[3] = ch->vertex(3)->point();
break;
}
}
}
return 0;
}