\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.13.2 - Surface Mesh
Surface_mesh/sm_kruskal.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Surface_mesh.h>
#include <iostream>
#include <fstream>
#include <list>
#include <boost/graph/kruskal_min_spanning_tree.hpp>
typedef Kernel::Point_3 Point;
typedef boost::graph_traits<Mesh>::vertex_descriptor vertex_descriptor;
typedef boost::graph_traits<Mesh>::vertex_iterator vertex_iterator;
typedef boost::graph_traits<Mesh>::edge_descriptor edge_descriptor;
void
kruskal(const Mesh& sm)
{
// We use the default edge weight which is the squared length of the edge
std::list<edge_descriptor> mst;
boost::kruskal_minimum_spanning_tree(sm,
std::back_inserter(mst));
std::cout << "#VRML V2.0 utf8\n"
"Shape {\n"
" appearance Appearance {\n"
" material Material { emissiveColor 1 0 0}}\n"
" geometry\n"
" IndexedLineSet {\n"
" coord Coordinate {\n"
" point [ \n";
vertex_iterator vb,ve;
for(boost::tie(vb, ve) = vertices(sm); vb!=ve; ++vb){
std::cout << " " << sm.point(*vb) << "\n";
}
std::cout << " ]\n"
" }\n"
" coordIndex [\n";
for(std::list<edge_descriptor>::iterator it = mst.begin(); it != mst.end(); ++it)
{
edge_descriptor e = *it ;
vertex_descriptor s = source(e,sm);
vertex_descriptor t = target(e,sm);
std::cout << " " << s << ", " << t << ", -1\n";
}
std::cout << "]\n"
" }#IndexedLineSet\n"
"}# Shape\n";
}
int main(int,char** argv) {
Mesh sm;
std::ifstream input(argv[1]);
input >> sm;
kruskal(sm);
return 0;
}