将非几何信息与CGAL Voronoi图

时间:2017-02-03 22:00:28

标签: c++ cgal voronoi

注意:请参阅本文底部的编辑,了解解决我问题的代码。

我正在CGAL中构建一个Voronoi图。我的图表中的每个站点都有一些与其相关的非几何信息(如城市的人口,或某个位置的温度)。在构建Voronoi图之后,我将对其执行位置查询,并且我将需要能够从查询结果中恢复此非几何信息。似乎CGAL有能力做到这一点;这在Delaunay三角测量的背景下讨论了例如here。但我无法弄清楚如何将这种技术应用于Voronoi图。这是我尝试过的,无法编译的内容:

删除了破碎的代码。请参阅下面的工作代码示例。

删除了问题的剩余部分,因为它与删除的,损坏的代码有关。请参阅下面的工作代码示例。

编辑1:修正了由sloriot指出的错误,包括完整的编译器输出。

编辑2:在评论中,Fabri博士建议我首先修改CGAL示例vd_2_point_location.cpp。根据他的建议,我在这里发布一个工作代码。这是vd_2_point_location.cpp的一个非常轻微修改的版本。

// standard includes
#include <iostream>
#include <fstream>
#include <cassert>
// includes for defining the Voronoi diagram adaptor
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_vertex_base_with_info_2.h>
#include <CGAL/Voronoi_diagram_2.h>
#include <CGAL/Delaunay_triangulation_adaptation_traits_2.h>
#include <CGAL/Delaunay_triangulation_adaptation_policies_2.h>
// typedefs for defining the adaptor
typedef CGAL::Exact_predicates_inexact_constructions_kernel                  K;
typedef CGAL::Triangulation_vertex_base_with_info_2<int, K>                  VB;
typedef CGAL::Triangulation_data_structure_2<VB>                             TDS;
typedef CGAL::Delaunay_triangulation_2<K,TDS>                                DT;
typedef CGAL::Delaunay_triangulation_adaptation_traits_2<DT>                 AT;
typedef CGAL::Delaunay_triangulation_caching_degeneracy_removal_policy_2<DT> AP;
typedef CGAL::Voronoi_diagram_2<DT,AT,AP>                                    VD;
// typedef for the result type of the point location
typedef AT::Site_2                    Site_2;
typedef AT::Point_2                   Point_2;
typedef VD::Locate_result             Locate_result;
typedef VD::Vertex_handle             Vertex_handle;
typedef VD::Face_handle               Face_handle;
typedef VD::Halfedge_handle           Halfedge_handle;
typedef VD::Ccb_halfedge_circulator   Ccb_halfedge_circulator;
void print_endpoint(Halfedge_handle e, bool is_src) {
  std::cout << "\t";
  if ( is_src ) {
    if ( e->has_source() )  std::cout << e->source()->point() << std::endl;
    else  std::cout << "point at infinity" << std::endl;
  } else {
    if ( e->has_target() )  std::cout << e->target()->point() << std::endl;
    else  std::cout << "point at infinity" << std::endl;
  }
}
int main()
{
  std::ifstream ifs("data/data1.dt.cin");
  assert( ifs );
  VD vd;
  Site_2 t;
  int ctr=0;
  while ( ifs >> t ) { 
      Face_handle fh = vd.insert(t); // Add the site...
      fh->dual()->info() = ctr++;    // ...attach some info to it
  }
  ifs.close();
  assert( vd.is_valid() );
  std::ifstream ifq("data/queries1.dt.cin");
  assert( ifq );
  Point_2 p;
  while ( ifq >> p ) {
    std::cout << "Query point (" << p.x() << "," << p.y()
              << ") lies on a Voronoi " << std::flush;
    Locate_result lr = vd.locate(p);
    if ( Vertex_handle* v = boost::get<Vertex_handle>(&lr) ) {
      std::cout << "vertex." << std::endl;
      std::cout << "The Voronoi vertex is:" << std::endl;
      std::cout << "\t" << (*v)->point() << std::endl;
    } else if ( Halfedge_handle* e = boost::get<Halfedge_handle>(&lr) ) {
      std::cout << "edge." << std::endl;
      std::cout << "The source and target vertices "
                << "of the Voronoi edge are:" << std::endl;
      print_endpoint(*e, true);
      print_endpoint(*e, false);
    } else if ( Face_handle* f = boost::get<Face_handle>(&lr) ) {
      std::cout << "face." << std::endl;
      std::cout << "The info associated with this face is " 
                << (*f)->dual()->info() << std::endl;
      std::cout << "The vertices of the Voronoi face are"
                << " (in counterclockwise order):" << std::endl;
      Ccb_halfedge_circulator ec_start = (*f)->ccb();
      Ccb_halfedge_circulator ec = ec_start;
      do {
        print_endpoint(ec, false);
      } while ( ++ec != ec_start );
    }
    std::cout << std::endl;
  }
  ifq.close();
  return 0;
}

0 个答案:

没有答案