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							- // Ceres Solver - A fast non-linear least squares minimizer
 
- // Copyright 2016 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: vitus@google.com (Michael Vitus)
 
- #include <iostream>
 
- #include <fstream>
 
- #include <string>
 
- #include "ceres/ceres.h"
 
- #include "common/read_g2o.h"
 
- #include "gflags/gflags.h"
 
- #include "glog/logging.h"
 
- #include "pose_graph_3d_error_term.h"
 
- #include "types.h"
 
- DEFINE_string(input, "", "The pose graph definition filename in g2o format.");
 
- namespace ceres {
 
- namespace examples {
 
- // Constructs the nonlinear least squares optimization problem from the pose
 
- // graph constraints.
 
- void BuildOptimizationProblem(const VectorOfConstraints& constraints,
 
-                               MapOfPoses* poses, ceres::Problem* problem) {
 
-   CHECK(poses != NULL);
 
-   CHECK(problem != NULL);
 
-   if (constraints.empty()) {
 
-     LOG(INFO) << "No constraints, no problem to optimize.";
 
-     return;
 
-   }
 
-   ceres::LossFunction* loss_function = NULL;
 
-   ceres::LocalParameterization* quaternion_local_parameterization =
 
-       new EigenQuaternionParameterization;
 
-   for (VectorOfConstraints::const_iterator constraints_iter =
 
-            constraints.begin();
 
-        constraints_iter != constraints.end(); ++constraints_iter) {
 
-     const Constraint3d& constraint = *constraints_iter;
 
-     MapOfPoses::iterator pose_begin_iter = poses->find(constraint.id_begin);
 
-     CHECK(pose_begin_iter != poses->end())
 
-         << "Pose with ID: " << constraint.id_begin << " not found.";
 
-     MapOfPoses::iterator pose_end_iter = poses->find(constraint.id_end);
 
-     CHECK(pose_end_iter != poses->end())
 
-         << "Pose with ID: " << constraint.id_end << " not found.";
 
-     const Eigen::Matrix<double, 6, 6> sqrt_information =
 
-         constraint.information.llt().matrixL();
 
-     // Ceres will take ownership of the pointer.
 
-     ceres::CostFunction* cost_function =
 
-         PoseGraph3dErrorTerm::Create(constraint.t_be, sqrt_information);
 
-     problem->AddResidualBlock(cost_function, loss_function,
 
-                               pose_begin_iter->second.p.data(),
 
-                               pose_begin_iter->second.q.coeffs().data(),
 
-                               pose_end_iter->second.p.data(),
 
-                               pose_end_iter->second.q.coeffs().data());
 
-     problem->SetParameterization(pose_begin_iter->second.q.coeffs().data(),
 
-                                  quaternion_local_parameterization);
 
-     problem->SetParameterization(pose_end_iter->second.q.coeffs().data(),
 
-                                  quaternion_local_parameterization);
 
-   }
 
-   // The pose graph optimization problem has six DOFs that are not fully
 
-   // constrained. This is typically referred to as gauge freedom. You can apply
 
-   // a rigid body transformation to all the nodes and the optimization problem
 
-   // will still have the exact same cost. The Levenberg-Marquardt algorithm has
 
-   // internal damping which mitigates this issue, but it is better to properly
 
-   // constrain the gauge freedom. This can be done by setting one of the poses
 
-   // as constant so the optimizer cannot change it.
 
-   MapOfPoses::iterator pose_start_iter = poses->begin();
 
-   CHECK(pose_start_iter != poses->end()) << "There are no poses.";
 
-   problem->SetParameterBlockConstant(pose_start_iter->second.p.data());
 
-   problem->SetParameterBlockConstant(pose_start_iter->second.q.coeffs().data());
 
- }
 
- // Returns true if the solve was successful.
 
- bool SolveOptimizationProblem(ceres::Problem* problem) {
 
-   CHECK(problem != NULL);
 
-   ceres::Solver::Options options;
 
-   options.max_num_iterations = 200;
 
-   options.linear_solver_type = ceres::SPARSE_NORMAL_CHOLESKY;
 
-   ceres::Solver::Summary summary;
 
-   ceres::Solve(options, problem, &summary);
 
-   std::cout << summary.FullReport() << '\n';
 
-   return summary.IsSolutionUsable();
 
- }
 
- // Output the poses to the file with format: id x y z q_x q_y q_z q_w.
 
- bool OutputPoses(const std::string& filename, const MapOfPoses& poses) {
 
-   std::fstream outfile;
 
-   outfile.open(filename.c_str(), std::istream::out);
 
-   if (!outfile) {
 
-     LOG(ERROR) << "Error opening the file: " << filename;
 
-     return false;
 
-   }
 
-   for (std::map<int, Pose3d, std::less<int>,
 
-                 Eigen::aligned_allocator<std::pair<const int, Pose3d> > >::
 
-            const_iterator poses_iter = poses.begin();
 
-        poses_iter != poses.end(); ++poses_iter) {
 
-     const std::map<int, Pose3d, std::less<int>,
 
-                    Eigen::aligned_allocator<std::pair<const int, Pose3d> > >::
 
-         value_type& pair = *poses_iter;
 
-     outfile << pair.first << " " << pair.second.p.transpose() << " "
 
-             << pair.second.q.x() << " " << pair.second.q.y() << " "
 
-             << pair.second.q.z() << " " << pair.second.q.w() << '\n';
 
-   }
 
-   return true;
 
- }
 
- }  // namespace examples
 
- }  // namespace ceres
 
- int main(int argc, char** argv) {
 
-   google::InitGoogleLogging(argv[0]);
 
-   CERES_GFLAGS_NAMESPACE::ParseCommandLineFlags(&argc, &argv, true);
 
-   CHECK(FLAGS_input != "") << "Need to specify the filename to read.";
 
-   ceres::examples::MapOfPoses poses;
 
-   ceres::examples::VectorOfConstraints constraints;
 
-   CHECK(ceres::examples::ReadG2oFile(FLAGS_input, &poses, &constraints))
 
-       << "Error reading the file: " << FLAGS_input;
 
-   std::cout << "Number of poses: " << poses.size() << '\n';
 
-   std::cout << "Number of constraints: " << constraints.size() << '\n';
 
-   CHECK(ceres::examples::OutputPoses("poses_original.txt", poses))
 
-       << "Error outputting to poses_original.txt";
 
-   ceres::Problem problem;
 
-   ceres::examples::BuildOptimizationProblem(constraints, &poses, &problem);
 
-   CHECK(ceres::examples::SolveOptimizationProblem(&problem))
 
-       << "The solve was not successful, exiting.";
 
-   CHECK(ceres::examples::OutputPoses("poses_optimized.txt", poses))
 
-       << "Error outputting to poses_original.txt";
 
-   return 0;
 
- }
 
 
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