本文介绍了加权Voronoi的CGAL 2D APOLLONIUS图-如何生成和获取面和顶点?的处理方法,对大家解决问题具有一定的参考价值,需要的朋友们下面随着小编来一起学习吧!
问题描述
我正在尝试基于阿波罗尼乌斯图生成加权voronoi。我正在使用CGAL库。我找不到如何从Apollonius获取面和顶点的好例子。
我有以下typedef:
I'm trying to generate weighted voronoi based on apollonius diagram. I'm using CGAL library. I couldn't find good example of how to get faces and vertices from apollonius.I have following typedefs:
typedef double NT;
typedef CGAL::Cartesian< NT> KernelCartes;
typedef CGAL::Ray_2<KernelCartes> Cartes_Ray;
typedef CGAL::Line_2<KernelCartes> Cartes_Line;
typedef CGAL::Segment_2<KernelCartes> Cartes_Segment;
typedef std::list<Cartes_Ray> Cartes_RayList;
typedef std::list<Cartes_Line> Cartes_LineList;
typedef std::list<Cartes_Segment> Cartes_SegmentList;
typedef CGAL::Point_2<KernelCartes> Cartes_Point;
typedef CGAL::Apollonius_graph_traits_2<KernelCartes> ApoTraits;
typedef CGAL::Apollonius_graph_2<ApoTraits> Apo_Graph;
typedef Apo_Graph::Site_2 Apo_Site;
在下面,我试图创建Apollonius图。 WVD是加权voronoi图(Apo_Graph)。
In the following, I'm trying to create Apollonius diagram. WVD is weighted voronoi diagram (Apo_Graph).
WVD.clear();
double Weight;
foreach(QPointF point,List_Nodes)
{
Weight = NewRandomNumber(1,10);
Apo_Site k(Cartes_Point(point.x(),point.y()),Weight);
WVD.insert(k);
}
现在,我需要知道如何获得加权voronoi并生成面(以及每个面的顶点)。
Now, I need to know how can I get access to weighted voronoi and generated faces (and vertices afterwards for each face).
推荐答案
最后,我做到了:
typedef CGAL::Apollonius_graph_traits_2<Kernel_Exact> APT;
typedef CGAL::Apollonius_site_2<Kernel_Exact> Site_2_Apo;
typedef Site_2_Apo::Point_2 Site_2_Point_2;
typedef Site_2_Apo::Weight Site_2_Weight;
typedef CGAL::Apollonius_graph_traits_2<Kernel_Exact> AGT2_K;
typedef CGAL::Apollonius_graph_2<AGT2_K> AG2;
typedef CGAL::Apollonius_graph_adaptation_traits_2<AG2> AG2_Trait;
typedef CGAL::Apollonius_graph_caching_degeneracy_removal_policy_2<AG2> AG2_Policy;
typedef CGAL::Voronoi_diagram_2<AG2,AG2_Trait,AG2_Policy> VD_AG2;
加载一些积分:
std::vector<Site_2_Apo> List_Nodes;
for (int i = 0; i<= 100; i = i++)
{
for(int j = 0; j <= 100; j = j++)
{
List_Nodes.push_back(Site_2_Apo(Site_2_Point_2(i+NewRandomNumber(0,30),j+NewRandomNumber(0,30)),Site_2_Weight(NewRandomNumber(1,50))));
}
}
其余:
VD_AG2 VDA; //Voronoi Apol
///Voronoi Generation
VDA.clear();
VDA.insert(List_Nodes.begin(),List_Nodes.end());
并访问面部和顶点:
for(A_Bounded_faces_iterator f = VDA.bounded_faces_begin(); f != VDA.bounded_faces_end(); f++)
{
A_Ccb_halfedge_circulator ec_start = (f)->ccb();
A_Ccb_halfedge_circulator ec = ec_start;
poly.clear();
do {
x = ((A_Halfedge_handle)ec)->source()->point().x();
y = ((A_Halfedge_handle)ec)->source()->point().y();
poly.push_back(QPointF(x,y));
} while ( ++ec != ec_start );
List_Poly.push_back(poly);
}
这是结果:
http://i.stack.imgur.com/Esv8c.png
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