Euclidean_witness_complex.h
1 /* This file is part of the Gudhi Library. The Gudhi library
2  * (Geometric Understanding in Higher Dimensions) is a generic C++
3  * library for computational topology.
4  *
5  * Author(s): Siargey Kachanovich
6  *
7  * Copyright (C) 2015 INRIA (France)
8  *
9  * This program is free software: you can redistribute it and/or modify
10  * it under the terms of the GNU General Public License as published by
11  * the Free Software Foundation, either version 3 of the License, or
12  * (at your option) any later version.
13  *
14  * This program is distributed in the hope that it will be useful,
15  * but WITHOUT ANY WARRANTY; without even the implied warranty of
16  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
17  * GNU General Public License for more details.
18  *
19  * You should have received a copy of the GNU General Public License
20  * along with this program. If not, see <http://www.gnu.org/licenses/>.
21  */
22 
23 #ifndef EUCLIDEAN_WITNESS_COMPLEX_H_
24 #define EUCLIDEAN_WITNESS_COMPLEX_H_
25 
26 #include <gudhi/Witness_complex.h>
27 #include <gudhi/Active_witness/Active_witness.h>
28 #include <gudhi/Kd_tree_search.h>
29 
30 #include <utility>
31 #include <vector>
32 #include <list>
33 #include <limits>
34 
35 namespace Gudhi {
36 
37 namespace witness_complex {
38 
48 template< class Kernel_ >
50  : public Witness_complex<std::vector<typename Gudhi::spatial_searching::Kd_tree_search<Kernel_,
51  std::vector<typename Kernel_::Point_d>>::INS_range>> {
52  private:
53  typedef Kernel_ K;
54  typedef typename K::Point_d Point_d;
55  typedef std::vector<Point_d> Point_range;
57  typedef typename Kd_tree::INS_range Nearest_landmark_range;
58  typedef typename std::vector<Nearest_landmark_range> Nearest_landmark_table;
59 
60  typedef typename Nearest_landmark_range::Point_with_transformed_distance Id_distance_pair;
61  typedef typename Id_distance_pair::first_type Landmark_id;
62  typedef Landmark_id Vertex_handle;
63 
64  private:
65  Point_range landmarks_;
66  Kd_tree landmark_tree_;
68 
69  public:
71  /* @name Constructor
72  */
73 
75 
82  template< typename LandmarkRange,
83  typename WitnessRange >
84  Euclidean_witness_complex(const LandmarkRange & landmarks,
85  const WitnessRange & witnesses)
86  : landmarks_(std::begin(landmarks), std::end(landmarks)), landmark_tree_(landmarks) {
87  nearest_landmark_table_.reserve(boost::size(witnesses));
88  for (auto w : witnesses)
89  nearest_landmark_table_.push_back(landmark_tree_.incremental_nearest_neighbors(w));
90  }
91 
95  Point_d get_point(Vertex_handle vertex) const {
96  return landmarks_[vertex];
97  }
98 
100 };
101 
102 } // namespace witness_complex
103 
104 } // namespace Gudhi
105 
106 #endif // EUCLIDEAN_WITNESS_COMPLEX_H_
Point_d get_point(Vertex_handle vertex) const
Returns the point corresponding to the given vertex.
Definition: Euclidean_witness_complex.h:95
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:110
Constructs (weak) witness complex for given sets of witnesses and landmarks in Euclidean space...
Definition: Euclidean_witness_complex.h:49
Definition: SimplicialComplexForAlpha.h:26
Constructs (weak) witness complex for a given table of nearest landmarks with respect to witnesses...
Definition: Witness_complex.h:50
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:200
Euclidean_witness_complex(const LandmarkRange &landmarks, const WitnessRange &witnesses)
Initializes member variables before constructing simplicial complex.
Definition: Euclidean_witness_complex.h:84
GUDHI  Version 2.1.0  - C++ library for Topological Data Analysis (TDA) and Higher Dimensional Geometry Understanding.  - Copyright : GPL v3 Generated on Wed Jan 31 2018 09:40:55 for GUDHI by Doxygen 1.8.11