|  | // Ceres Solver - A fast non-linear least squares minimizer | 
|  | // Copyright 2023 Google Inc. All rights reserved. | 
|  | // http://ceres-solver.org/ | 
|  | // | 
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|  | // modification, are permitted provided that the following conditions are met: | 
|  | // | 
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|  | // | 
|  | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | 
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|  | // 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) | 
|  | // | 
|  | // An example of solving a graph-based formulation of Simultaneous Localization | 
|  | // and Mapping (SLAM). It reads a 2D pose graph problem definition file in the | 
|  | // g2o format, formulates and solves the Ceres optimization problem, and outputs | 
|  | // the original and optimized poses to file for plotting. | 
|  |  | 
|  | #include <fstream> | 
|  | #include <iostream> | 
|  | #include <map> | 
|  | #include <string> | 
|  | #include <vector> | 
|  |  | 
|  | #include "absl/flags/flag.h" | 
|  | #include "absl/flags/parse.h" | 
|  | #include "absl/log/check.h" | 
|  | #include "absl/log/initialize.h" | 
|  | #include "absl/log/log.h" | 
|  | #include "angle_manifold.h" | 
|  | #include "ceres/ceres.h" | 
|  | #include "common/read_g2o.h" | 
|  | #include "pose_graph_2d_error_term.h" | 
|  | #include "types.h" | 
|  |  | 
|  | ABSL_FLAG(std::string, | 
|  | input, | 
|  | "", | 
|  | "The pose graph definition filename in g2o format."); | 
|  |  | 
|  | namespace ceres::examples { | 
|  | namespace { | 
|  |  | 
|  | // Constructs the nonlinear least squares optimization problem from the pose | 
|  | // graph constraints. | 
|  | void BuildOptimizationProblem(const std::vector<Constraint2d>& constraints, | 
|  | std::map<int, Pose2d>* poses, | 
|  | ceres::Problem* problem) { | 
|  | CHECK(poses != nullptr); | 
|  | CHECK(problem != nullptr); | 
|  | if (constraints.empty()) { | 
|  | LOG(INFO) << "No constraints, no problem to optimize."; | 
|  | return; | 
|  | } | 
|  |  | 
|  | ceres::LossFunction* loss_function = nullptr; | 
|  | ceres::Manifold* angle_manifold = AngleManifold::Create(); | 
|  |  | 
|  | for (const auto& constraint : constraints) { | 
|  | auto pose_begin_iter = poses->find(constraint.id_begin); | 
|  | CHECK(pose_begin_iter != poses->end()) | 
|  | << "Pose with ID: " << constraint.id_begin << " not found."; | 
|  | auto pose_end_iter = poses->find(constraint.id_end); | 
|  | CHECK(pose_end_iter != poses->end()) | 
|  | << "Pose with ID: " << constraint.id_end << " not found."; | 
|  |  | 
|  | const Eigen::Matrix3d sqrt_information = | 
|  | constraint.information.llt().matrixL(); | 
|  | // Ceres will take ownership of the pointer. | 
|  | ceres::CostFunction* cost_function = PoseGraph2dErrorTerm::Create( | 
|  | constraint.x, constraint.y, constraint.yaw_radians, sqrt_information); | 
|  | problem->AddResidualBlock(cost_function, | 
|  | loss_function, | 
|  | &pose_begin_iter->second.x, | 
|  | &pose_begin_iter->second.y, | 
|  | &pose_begin_iter->second.yaw_radians, | 
|  | &pose_end_iter->second.x, | 
|  | &pose_end_iter->second.y, | 
|  | &pose_end_iter->second.yaw_radians); | 
|  |  | 
|  | problem->SetManifold(&pose_begin_iter->second.yaw_radians, angle_manifold); | 
|  | problem->SetManifold(&pose_end_iter->second.yaw_radians, angle_manifold); | 
|  | } | 
|  |  | 
|  | // The pose graph optimization problem has three 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 mitigate 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. | 
|  | auto pose_start_iter = poses->begin(); | 
|  | CHECK(pose_start_iter != poses->end()) << "There are no poses."; | 
|  | problem->SetParameterBlockConstant(&pose_start_iter->second.x); | 
|  | problem->SetParameterBlockConstant(&pose_start_iter->second.y); | 
|  | problem->SetParameterBlockConstant(&pose_start_iter->second.yaw_radians); | 
|  | } | 
|  |  | 
|  | // Returns true if the solve was successful. | 
|  | bool SolveOptimizationProblem(ceres::Problem* problem) { | 
|  | CHECK(problem != nullptr); | 
|  |  | 
|  | ceres::Solver::Options options; | 
|  | options.max_num_iterations = 100; | 
|  | 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 yaw_radians. | 
|  | bool OutputPoses(const std::string& filename, | 
|  | const std::map<int, Pose2d>& poses) { | 
|  | std::fstream outfile; | 
|  | outfile.open(filename.c_str(), std::istream::out); | 
|  | if (!outfile) { | 
|  | std::cerr << "Error opening the file: " << filename << '\n'; | 
|  | return false; | 
|  | } | 
|  | for (const auto& pair : poses) { | 
|  | outfile << pair.first << " " << pair.second.x << " " << pair.second.y << ' ' | 
|  | << pair.second.yaw_radians << '\n'; | 
|  | } | 
|  | return true; | 
|  | } | 
|  |  | 
|  | }  // namespace | 
|  | }  // namespace ceres::examples | 
|  |  | 
|  | int main(int argc, char** argv) { | 
|  | absl::InitializeLog(); | 
|  | absl::ParseCommandLine(argc, argv); | 
|  |  | 
|  | if (absl::GetFlag(FLAGS_input).empty()) { | 
|  | LOG(ERROR) << "Usage pose_graph_3d --input=<filename>"; | 
|  | return 1; | 
|  | } | 
|  |  | 
|  | std::map<int, ceres::examples::Pose2d> poses; | 
|  | std::vector<ceres::examples::Constraint2d> constraints; | 
|  | CHECK(ceres::examples::ReadG2oFile( | 
|  | absl::GetFlag(FLAGS_input), &poses, &constraints)) | 
|  | << "Error reading the file: " << absl::GetFlag(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; | 
|  | } |