CGAL 5.6.3 - 3D Alpha Shapes

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Alpha_shapes_3/ex_weighted_periodic_alpha_shapes_3.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Alpha_shape_3.h>
#include <CGAL/Alpha_shape_cell_base_3.h>
#include <CGAL/Alpha_shape_vertex_base_3.h>
#include <CGAL/Periodic_3_regular_triangulation_traits_3.h>
#include <CGAL/Periodic_3_regular_triangulation_3.h>
#include <CGAL/Random.h>
#include <fstream>
#include <iostream>
// Traits
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_3_regular_triangulation_traits_3<K> PK;
// Vertex type
typedef CGAL::Periodic_3_triangulation_ds_vertex_base_3<> DsVb;
typedef CGAL::Regular_triangulation_vertex_base_3<PK,DsVb> Vb;
typedef CGAL::Alpha_shape_vertex_base_3<PK,Vb> AsVb;
// Cell type
typedef CGAL::Periodic_3_triangulation_ds_cell_base_3<> DsCb;
typedef CGAL::Regular_triangulation_cell_base_3<PK,DsCb> Cb;
typedef CGAL::Alpha_shape_cell_base_3<PK,Cb> AsCb;
typedef CGAL::Triangulation_data_structure_3<AsVb,AsCb> Tds;
typedef CGAL::Periodic_3_regular_triangulation_3<PK,Tds> P3RT3;
typedef CGAL::Alpha_shape_3<P3RT3> Alpha_shape_3;
typedef P3RT3::Bare_point Bare_point;
typedef P3RT3::Weighted_point Weighted_point;
int main()
{
CGAL::Random random(8);
std::list<Weighted_point> pts;
// read input
std::ifstream is("data/bunny_1000");
int n;
is >> n;
std::cout << "Reading " << n << " points " << std::endl;
for( ; n>0 ; n--)
{
Bare_point bp;
if(is >> bp)
pts.emplace_back(bp, 0.0001 * random.get_double(0., 0.015625)); // arbitrary weights
}
// Define the periodic cube
P3RT3 prt(PK::Iso_cuboid_3(-0.1,0.,-0.1, 0.1,0.2,0.1));
// Heuristic for inserting large point sets (if pts is reasonably large)
prt.insert(pts.begin(), pts.end(), true);
// As prt won't be modified anymore switch to 1-sheeted cover if possible
if(prt.is_triangulation_in_1_sheet())
{
std::cout << "Switching to 1-sheeted covering" << std::endl;
prt.convert_to_1_sheeted_covering();
}
std::cout << "Periodic Regular computed." << std::endl;
// compute alpha shape
Alpha_shape_3 as(prt);
std::cout << "Alpha shape computed in REGULARIZED mode by default." << std::endl;
// find optimal alpha values
Alpha_shape_3::NT alpha_solid = as.find_alpha_solid();
Alpha_shape_3::Alpha_iterator opt = as.find_optimal_alpha(1);
std::cout << "Smallest alpha value to get a solid through data points is " << alpha_solid << std::endl;
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);
return 0;
}
CGAL::Alpha_shape_3
The class Alpha_shape_3 represents the family of alpha shapes of points in the 3D space for all real ...
Definition: Alpha_shape_3.h:84
CGAL::Alpha_shape_cell_base_3
The class Alpha_shape_cell_base_3 is the default model for the concept AlphaShapeCell_3.
Definition: Alpha_shape_cell_base_3.h:29
CGAL::Alpha_shape_vertex_base_3
The class Alpha_shape_vertex_base_3 is the default model for the concept AlphaShapeVertex_3.
Definition: Alpha_shape_vertex_base_3.h:29
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Periodic_3_regular_triangulation_3
CGAL::Periodic_3_regular_triangulation_traits_3
CGAL::Periodic_3_triangulation_ds_cell_base_3
CGAL::Periodic_3_triangulation_ds_vertex_base_3
CGAL::Regular_triangulation_cell_base_3
CGAL::Regular_triangulation_vertex_base_3