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

CGAL 4.8 - Advancing Front Surface Reconstruction

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Advancing_front_surface_reconstruction/boundaries.cpp
#include <fstream>
#include <iostream>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Advancing_front_surface_reconstruction.h>
#include <boost/foreach.hpp>
struct Perimeter {
double bound;
Perimeter(double bound)
: bound(bound)
{}
template <typename AdvancingFront, typename Cell_handle>
double operator() (const AdvancingFront& adv, Cell_handle& c,
const int& index) const
{
// bound == 0 is better than bound < infinity
// as it avoids the distance computations
if(bound == 0){
return adv.smallest_radius_delaunay_sphere (c, index);
}
// If perimeter > bound, return infinity so that facet is not used
double d = 0;
d = sqrt(squared_distance(c->vertex((index+1)%4)->point(),
c->vertex((index+2)%4)->point()));
if(d>bound) return adv.infinity();
d += sqrt(squared_distance(c->vertex((index+2)%4)->point(),
c->vertex((index+3)%4)->point()));
if(d>bound) return adv.infinity();
d += sqrt(squared_distance(c->vertex((index+1)%4)->point(),
c->vertex((index+3)%4)->point()));
if(d>bound) return adv.infinity();
// Otherwise, return usual priority value: smallest radius of
// delaunay sphere
return adv.smallest_radius_delaunay_sphere (c, index);
}
};
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Advancing_front_surface_reconstruction<CGAL::Default, Perimeter> Reconstruction;
typedef Reconstruction::Triangulation_3 Triangulation_3;
typedef Reconstruction::Outlier_range Outlier_range;
typedef Reconstruction::Boundary_range Boundary_range;
typedef Reconstruction::Vertex_on_boundary_range Vertex_on_boundary_range;
typedef Reconstruction::Vertex_handle Vertex_handle;
typedef K::Point_3 Point_3;
int main(int argc, char* argv[])
{
std::ifstream in((argc>1)?argv[1]:"data/half.xyz");
std::istream_iterator<Point_3> begin(in);
std::istream_iterator<Point_3> end;
Perimeter perimeter(0.5);
Triangulation_3 dt(begin, end);
Reconstruction reconstruction(dt, perimeter);
reconstruction.run();
std::cout << reconstruction.number_of_outliers() << " outliers:\n" << std::endl;
BOOST_FOREACH(const Point_3& p, reconstruction.outliers()){
std::cout << p << std::endl;
}
std::cout << "Boundaries:" << std::endl ;
BOOST_FOREACH(const Vertex_on_boundary_range & vobr, reconstruction.boundaries()){
std::cout << "boundary\n";
// As we use BOOST_FOREACH we do not use the type Boundary_range
BOOST_FOREACH(Vertex_handle v, vobr){
std::cout << v->point() << std::endl;
}
}
return 0;
}