12#ifndef EUCLIDEAN_WITNESS_COMPLEX_H_
13#define EUCLIDEAN_WITNESS_COMPLEX_H_
15#include <gudhi/Witness_complex.h>
16#include <gudhi/Active_witness/Active_witness.h>
17#include <gudhi/Kd_tree_search.h>
19#include <CGAL/version.h>
21#include <Eigen/src/Core/util/Macros.h>
29#if CGAL_VERSION_NR < 1041101000
30# error Euclidean_witness_complex is only available for CGAL >= 4.11
33#if !EIGEN_VERSION_AT_LEAST(3,1,0)
34# error Euclidean_witness_complex is only available for Eigen3 >= 3.1.0 installed with CGAL
39namespace witness_complex {
50template<
class Kernel_ >
52 :
public Witness_complex<std::vector<typename Gudhi::spatial_searching::Kd_tree_search<Kernel_,
53 std::vector<typename Kernel_::Point_d>>::INS_range>> {
56 typedef typename K::Point_d Point_d;
57 typedef std::vector<Point_d> Point_range;
60 typedef typename std::vector<Nearest_landmark_range> Nearest_landmark_table;
62 typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair;
63 typedef typename Id_distance_pair::first_type Landmark_id;
64 typedef Landmark_id Vertex_handle;
67 Point_range landmarks_;
84 template<
typename LandmarkRange,
85 typename WitnessRange >
87 const WitnessRange & witnesses)
88 : landmarks_(
std::begin(landmarks),
std::end(landmarks)), landmark_tree_(landmarks) {
89 nearest_landmark_table_.reserve(boost::size(witnesses));
90 for (
auto w : witnesses)
98 return landmarks_[vertex];
INS_range incremental_nearest_neighbors(Point const &p, FT eps=FT(0)) const
Search incrementally for the nearest neighbors from a query point.
Definition: Kd_tree_search.h:271
Incremental_neighbor_search INS_range
The range returned by an incremental nearest or furthest neighbor search. Its value type is std::pair...
Definition: Kd_tree_search.h:112
Constructs (weak) witness complex for given sets of witnesses and landmarks in Euclidean space.
Definition: Euclidean_witness_complex.h:53
Point_d get_point(Vertex_handle vertex) const
Returns the point corresponding to the given vertex.
Definition: Euclidean_witness_complex.h:97
Euclidean_witness_complex(const LandmarkRange &landmarks, const WitnessRange &witnesses)
Initializes member variables before constructing simplicial complex.
Definition: Euclidean_witness_complex.h:86
Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses.
Definition: Witness_complex.h:38
Gudhi namespace.
Definition: SimplicialComplexForAlpha.h:14