single_linkage_clustering.cc 3.3 KB

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  1. // Ceres Solver - A fast non-linear least squares minimizer
  2. // Copyright 2023 Google Inc. All rights reserved.
  3. // http://ceres-solver.org/
  4. //
  5. // Redistribution and use in source and binary forms, with or without
  6. // modification, are permitted provided that the following conditions are met:
  7. //
  8. // * Redistributions of source code must retain the above copyright notice,
  9. // this list of conditions and the following disclaimer.
  10. // * Redistributions in binary form must reproduce the above copyright notice,
  11. // this list of conditions and the following disclaimer in the documentation
  12. // and/or other materials provided with the distribution.
  13. // * Neither the name of Google Inc. nor the names of its contributors may be
  14. // used to endorse or promote products derived from this software without
  15. // specific prior written permission.
  16. //
  17. // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
  18. // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  19. // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  20. // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
  21. // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
  22. // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
  23. // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
  24. // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
  25. // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  26. // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
  27. // POSSIBILITY OF SUCH DAMAGE.
  28. //
  29. // Author: sameeragarwal@google.com (Sameer Agarwal)
  30. #include "ceres/single_linkage_clustering.h"
  31. #include <unordered_map>
  32. #include <unordered_set>
  33. #include "ceres/graph.h"
  34. #include "ceres/graph_algorithms.h"
  35. namespace ceres::internal {
  36. int ComputeSingleLinkageClustering(
  37. const SingleLinkageClusteringOptions& options,
  38. const WeightedGraph<int>& graph,
  39. std::unordered_map<int, int>* membership) {
  40. CHECK(membership != nullptr);
  41. membership->clear();
  42. // Initially each vertex is in its own cluster.
  43. const std::unordered_set<int>& vertices = graph.vertices();
  44. for (const int v : vertices) {
  45. (*membership)[v] = v;
  46. }
  47. for (const int vertex1 : vertices) {
  48. const std::unordered_set<int>& neighbors = graph.Neighbors(vertex1);
  49. for (const int vertex2 : neighbors) {
  50. // Since the graph is undirected, only pay attention to one side
  51. // of the edge and ignore weak edges.
  52. if ((vertex1 > vertex2) ||
  53. (graph.EdgeWeight(vertex1, vertex2) < options.min_similarity)) {
  54. continue;
  55. }
  56. // Use a union-find algorithm to keep track of the clusters.
  57. const int c1 = FindConnectedComponent(vertex1, membership);
  58. const int c2 = FindConnectedComponent(vertex2, membership);
  59. if (c1 == c2) {
  60. continue;
  61. }
  62. if (c1 < c2) {
  63. (*membership)[c2] = c1;
  64. } else {
  65. (*membership)[c1] = c2;
  66. }
  67. }
  68. }
  69. // Make sure that every vertex is connected directly to the vertex
  70. // identifying the cluster.
  71. int num_clusters = 0;
  72. for (auto& m : *membership) {
  73. m.second = FindConnectedComponent(m.first, membership);
  74. if (m.first == m.second) {
  75. ++num_clusters;
  76. }
  77. }
  78. return num_clusters;
  79. }
  80. } // namespace ceres::internal