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- // Ceres Solver - A fast non-linear least squares minimizer
- // Copyright 2023 Google Inc. All rights reserved.
- // http://ceres-solver.org/
- //
- // Redistribution and use in source and binary forms, with or without
- // modification, are permitted provided that the following conditions are met:
- //
- // * Redistributions of source code must retain the above copyright notice,
- // this list of conditions and the following disclaimer.
- // * Redistributions in binary form must reproduce the above copyright notice,
- // this list of conditions and the following disclaimer in the documentation
- // and/or other materials provided with the distribution.
- // * Neither the name of Google Inc. nor the names of its contributors may be
- // used to endorse or promote products derived from this software without
- // specific prior written permission.
- //
- // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
- // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
- // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
- // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
- // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
- // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
- // POSSIBILITY OF SUCH DAMAGE.
- //
- // Author: sameeragarwal@google.com (Sameer Agarwal)
- #include "ceres/single_linkage_clustering.h"
- #include <unordered_map>
- #include <unordered_set>
- #include "ceres/graph.h"
- #include "ceres/graph_algorithms.h"
- namespace ceres::internal {
- int ComputeSingleLinkageClustering(
- const SingleLinkageClusteringOptions& options,
- const WeightedGraph<int>& graph,
- std::unordered_map<int, int>* membership) {
- CHECK(membership != nullptr);
- membership->clear();
- // Initially each vertex is in its own cluster.
- const std::unordered_set<int>& vertices = graph.vertices();
- for (const int v : vertices) {
- (*membership)[v] = v;
- }
- for (const int vertex1 : vertices) {
- const std::unordered_set<int>& neighbors = graph.Neighbors(vertex1);
- for (const int vertex2 : neighbors) {
- // Since the graph is undirected, only pay attention to one side
- // of the edge and ignore weak edges.
- if ((vertex1 > vertex2) ||
- (graph.EdgeWeight(vertex1, vertex2) < options.min_similarity)) {
- continue;
- }
- // Use a union-find algorithm to keep track of the clusters.
- const int c1 = FindConnectedComponent(vertex1, membership);
- const int c2 = FindConnectedComponent(vertex2, membership);
- if (c1 == c2) {
- continue;
- }
- if (c1 < c2) {
- (*membership)[c2] = c1;
- } else {
- (*membership)[c1] = c2;
- }
- }
- }
- // Make sure that every vertex is connected directly to the vertex
- // identifying the cluster.
- int num_clusters = 0;
- for (auto& m : *membership) {
- m.second = FindConnectedComponent(m.first, membership);
- if (m.first == m.second) {
- ++num_clusters;
- }
- }
- return num_clusters;
- }
- } // namespace ceres::internal
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