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

CGAL 4.8 - 3D Polyhedral Surface

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Polyhedron/polyhedron_prog_incr_builder.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_incremental_builder_3.h>
#include <CGAL/Polyhedron_3.h>
// A modifier creating a triangle with the incremental builder.
template <class HDS>
class Build_triangle : public CGAL::Modifier_base<HDS> {
public:
Build_triangle() {}
void operator()( HDS& hds) {
// Postcondition: hds is a valid polyhedral surface.
CGAL::Polyhedron_incremental_builder_3<HDS> B( hds, true);
B.begin_surface( 3, 1, 6);
typedef typename HDS::Vertex Vertex;
typedef typename Vertex::Point Point;
B.add_vertex( Point( 0, 0, 0));
B.add_vertex( Point( 1, 0, 0));
B.add_vertex( Point( 0, 1, 0));
B.begin_facet();
B.add_vertex_to_facet( 0);
B.add_vertex_to_facet( 1);
B.add_vertex_to_facet( 2);
B.end_facet();
B.end_surface();
}
};
typedef CGAL::Simple_cartesian<double> Kernel;
typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
typedef Polyhedron::HalfedgeDS HalfedgeDS;
int main() {
Polyhedron P;
Build_triangle<HalfedgeDS> triangle;
P.delegate( triangle);
CGAL_assertion( P.is_triangle( P.halfedges_begin()));
return 0;
}