在CGAL中创建3D Alpha形状和可视化

我是一个新的CGAL用户,有基本的C++经验,试图找到一组点的3D Alpha形状。我正在使用 ex_alpha_shapes_3 示例代码,然后使用中的说明 saving CGAL alpha shape surface mesh 用于结果的可视化。一切似乎都正常工作,但当我试图通过替换

    Alpha_shape_3 as(lp.begin(),lp.end());

具有

    Alpha_shape_3 as(lp.begin(),lp.end(),1, Alpha_shape_3::GENERAL);

假设第三个变量是alpha(=1)的值,并且每次都改变这个值,结果就不会改变。

更具体地说,在我的粒子集合中,有些粒子与大多数粒子分离,我想用单独的体积来表示它们(类似于 Figure 41.1 )使用凹形外壳或阿尔法形状。目前我得到的(使用Tecplot进行可视化)是: 正如你所看到的,分离的粒子与其他粒子相连。我还在末尾附上我的代码。如果能在这件事上得到任何帮助,我将不胜感激。

    #include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
    #include <CGAL/Delaunay_triangulation_3.h>
    #include <CGAL/Alpha_shape_3.h>

    #include <iostream>
    #include <fstream>
    #include <list>
    #include <cassert>

    typedef CGAL::Exact_predicates_inexact_constructions_kernel Gt;

    typedef CGAL::Alpha_shape_vertex_base_3<Gt>          Vb;
    typedef CGAL::Alpha_shape_cell_base_3<Gt>            Fb;
    typedef CGAL::Triangulation_data_structure_3<Vb,Fb>  Tds;
    typedef CGAL::Delaunay_triangulation_3<Gt,Tds>       Triangulation_3;
    typedef CGAL::Alpha_shape_3<Triangulation_3>         Alpha_shape_3;

    typedef Gt::Point_3                                  Point;
    typedef Alpha_shape_3::Alpha_iterator               Alpha_iterator;

    using namespace std;

    int main()
    {
      std::list<Point> lp;

      //read input
      std::ifstream is("./data/finalwater4.dat");
      int n;
      is >> n;
      std::cout << "Reading " << n << " points " << std::endl;
      Point p;
      for( ; n>0 ; n--)    {
        is >> p;
        lp.push_back(p);
      }

      // compute alpha shape
    //  Alpha_shape_3 as(lp.begin(),lp.end());
      Alpha_shape_3 as(lp.begin(),lp.end(),0.001, Alpha_shape_3::GENERAL);

      // find optimal alpha value
      Alpha_iterator opt = as.find_optimal_alpha(1);
      std::cout << "Optimal alpha value to get one connected component is "
            <<  *opt    << std::endl;
      as.set_alpha(*opt);
      assert(as.number_of_solid_components() == 1);

      /// the rest of the code, prepares the output to be written into a file

      /// collect all regular facets (fetch regular facets from as and inserts in facets)
      std::vector<Alpha_shape_3::Facet> facets;
      as.get_alpha_shape_facets(std::back_inserter(facets), Alpha_shape_3::REGULAR);

      std::stringstream pts;
      std::stringstream ind;

      std::size_t nbf=facets.size();
      for (std::size_t i=0;i<nbf;++i)
      { 
        //To have a consistent orientation of the facet, always consider an exterior cell
        if ( as.classify( facets[i].first )!=Alpha_shape_3::EXTERIOR )
          facets[i]=as.mirror_facet( facets[i] );
        CGAL_assertion(  as.classify( facets[i].first )==Alpha_shape_3::EXTERIOR  );

        int indices[3]={
          (facets[i].second+1)%4,
          (facets[i].second+2)%4,
          (facets[i].second+3)%4,
        };

        /// according to the encoding of vertex indices, this is needed to get
        /// a consistent orienation
        if ( facets[i].second%2==0 ) std::swap(indices[0], indices[1]);


        pts << 
        facets[i].first->vertex(indices[0])->point() << "\n" <<
        facets[i].first->vertex(indices[1])->point() << "\n" <<
        facets[i].first->vertex(indices[2])->point() << "\n"; 
        ind << 3*i+1 << " " << 3*i+2 << " " << 3*i+3 << "\n";
      }

      ofstream myfile;
      myfile.open ("output.dat");
      myfile << "variables = x, y, z\n";
      myfile << "zone n="<< 3*nbf << " , e=" << nbf << " , f=fepoint, et=triangle\n";
      myfile << pts.str();
      myfile << ind.str();
      myfile.close();

      return 0;
    }