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

CGAL 4.8 - 3D Surface Mesh Generation

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Surface_mesher/mesh_a_3d_gray_image.cpp
#include <CGAL/Surface_mesh_default_triangulation_3.h>
#include <CGAL/Surface_mesh_default_criteria_3.h>
#include <CGAL/Complex_2_in_triangulation_3.h>
#include <CGAL/IO/Complex_2_in_triangulation_3_file_writer.h>
#include <fstream>
#include <CGAL/make_surface_mesh.h>
#include <CGAL/Gray_level_image_3.h>
#include <CGAL/Implicit_surface_3.h>
// default triangulation for Surface_mesher
typedef CGAL::Surface_mesh_default_triangulation_3 Tr;
// c2t3
typedef CGAL::Complex_2_in_triangulation_3<Tr> C2t3;
typedef Tr::Geom_traits GT;
typedef CGAL::Gray_level_image_3<GT::FT, GT::Point_3> Gray_level_image;
typedef CGAL::Implicit_surface_3<GT, Gray_level_image> Surface_3;
int main() {
Tr tr; // 3D-Delaunay triangulation
C2t3 c2t3 (tr); // 2D-complex in 3D-Delaunay triangulation
// the 'function' is a 3D gray level image
Gray_level_image image("data/skull_2.9.inr", 2.9f);
// Carefully choosen bounding sphere: the center must be inside the
// surface defined by 'image' and the radius must be high enough so that
// the sphere actually bounds the whole image.
GT::Point_3 bounding_sphere_center(122., 102., 117.);
GT::FT bounding_sphere_squared_radius = 200.*200.*2.;
GT::Sphere_3 bounding_sphere(bounding_sphere_center,
bounding_sphere_squared_radius);
// definition of the surface, with 10^-5 as relative precision
Surface_3 surface(image, bounding_sphere, 1e-5);
// defining meshing criteria
CGAL::Surface_mesh_default_criteria_3<Tr> criteria(30.,
5.,
5.);
// meshing surface, with the "manifold without boundary" algorithm
CGAL::make_surface_mesh(c2t3, surface, criteria, CGAL::Manifold_tag());
std::ofstream out("out.off");
CGAL::output_surface_facets_to_off (out, c2t3);
std::cout << "Final number of points: " << tr.number_of_vertices() << "\n";
}