\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - 2D Alpha Shapes
Alpha_shapes_2/ex_weighted_alpha_shapes_2.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Alpha_shape_2.h>
#include <CGAL/Alpha_shape_face_base_2.h>
#include <CGAL/Alpha_shape_vertex_base_2.h>
#include <CGAL/Regular_triangulation_2.h>
#include <fstream>
#include <iostream>
#include <list>
#include <vector>
typedef K::FT FT;
typedef K::Weighted_point_2 Weighted_point;
typedef K::Segment_2 Segment;
typedef CGAL::Triangulation_data_structure_2<Vb,Fb> Tds;
typedef CGAL::Regular_triangulation_2<K,Tds> Triangulation_2;
typedef Alpha_shape_2::Alpha_shape_edges_iterator Alpha_shape_edges_iterator;
template <class OutputIterator>
void alpha_edges(const Alpha_shape_2& A, OutputIterator out)
{
Alpha_shape_edges_iterator it = A.alpha_shape_edges_begin(),
end = A.alpha_shape_edges_end();
for( ; it!=end; ++it)
*out++ = A.segment(*it);
}
bool file_input(std::list<Weighted_point>& L)
{
std::ifstream is("./data/fin_weighted", std::ios::in);
if(is.fail())
{
std::cerr << "unable to open file for input" << std::endl;
return false;
}
int n;
is >> n;
std::cout << "Reading " << n << " points" << std::endl;
for( ; n>0; n--)
{
Weighted_point wp;
is >> wp;
L.push_back(wp);
}
return true;
}
// Reads a list of points and returns a list of segments corresponding to
// the weighted Alpha Shape.
int main()
{
std::list<Weighted_point> wpoints;
if(!file_input(wpoints))
return -1;
Alpha_shape_2 A(wpoints.begin(), wpoints.end(),
FT(10000),
Alpha_shape_2::GENERAL);
std::vector<Segment> segments;
alpha_edges(A, std::back_inserter(segments));
std::cout << "Alpha Shape computed" << std::endl;
std::cout << segments.size() << " alpha shape edges" << std::endl;
std::cout << "Optimal alpha: " << *A.find_optimal_alpha(1)<<std::endl;
return 0;
}