CGAL: How to create a sphere mesh?

Question

How can I build a sphere mesh by cgal? I want to use SurfaceMesh data structure to store a sphere

I tried to use the example: Surface_mesher_2mesh_an_implicit_function_8cpp-example But the sphere is irregular in shape. irregular_sphere And I want to generate a sphere like this, what should I do? regular_sphere

Answer 1

I found this blog post by Daniel Sieger.
Note that CGAL offers the subdivision functions, as well as the function to construct an isocahedron So you have to assemble this and add the projection to the sphere.

Answer 2

The iterated Loop subdivision of an icosahedron produces a sphere (the icosphere).

#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Surface_mesh.h>
#include <CGAL/Subdivision_method_3/subdivision_methods_3.h>

typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef K::Point_3                                          Point3;
typedef CGAL::Surface_mesh<Point3>                          Mesh3;

Mesh3 icosphere(Point3 center, double radius, unsigned int iterations) {
  Mesh3 mesh;
  CGAL::make_icosahedron<Mesh3, Point3>(mesh, center, radius);
  CGAL::Subdivision_method_3::Loop_subdivision(
    mesh, CGAL::parameters::number_of_iterations(iterations)
  );
  return mesh;
}