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cartographer/cartographer/mapping/internal/optimization/optimization_problem_3d.cc

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/*
* Copyright 2016 The Cartographer Authors
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include "cartographer/mapping/internal/optimization/optimization_problem_3d.h"
#include <algorithm>
#include <array>
#include <cmath>
#include <iterator>
#include <map>
#include <memory>
#include <string>
#include <vector>
#include "Eigen/Core"
#include "absl/memory/memory.h"
#include "cartographer/common/internal/ceres_solver_options.h"
#include "cartographer/common/math.h"
#include "cartographer/common/time.h"
#include "cartographer/mapping/internal/3d/imu_integration.h"
#include "cartographer/mapping/internal/3d/rotation_parameterization.h"
#include "cartographer/mapping/internal/optimization/ceres_pose.h"
#include "cartographer/mapping/internal/optimization/cost_functions/acceleration_cost_function_3d.h"
#include "cartographer/mapping/internal/optimization/cost_functions/landmark_cost_function_3d.h"
#include "cartographer/mapping/internal/optimization/cost_functions/rotation_cost_function_3d.h"
#include "cartographer/mapping/internal/optimization/cost_functions/spa_cost_function_3d.h"
#include "cartographer/transform/timestamped_transform.h"
#include "cartographer/transform/transform.h"
#include "ceres/ceres.h"
#include "ceres/jet.h"
#include "ceres/rotation.h"
#include "glog/logging.h"
namespace cartographer {
namespace mapping {
namespace optimization {
namespace {
using LandmarkNode = ::cartographer::mapping::PoseGraphInterface::LandmarkNode;
using TrajectoryData =
::cartographer::mapping::PoseGraphInterface::TrajectoryData;
// For odometry.
std::unique_ptr<transform::Rigid3d> Interpolate(
const sensor::MapByTime<sensor::OdometryData>& map_by_time,
const int trajectory_id, const common::Time time) {
const auto it = map_by_time.lower_bound(trajectory_id, time);
if (it == map_by_time.EndOfTrajectory(trajectory_id)) {
return nullptr;
}
if (it == map_by_time.BeginOfTrajectory(trajectory_id)) {
if (it->time == time) {
return absl::make_unique<transform::Rigid3d>(it->pose);
}
return nullptr;
}
const auto prev_it = std::prev(it);
return absl::make_unique<transform::Rigid3d>(
Interpolate(transform::TimestampedTransform{prev_it->time, prev_it->pose},
transform::TimestampedTransform{it->time, it->pose}, time)
.transform);
}
// For fixed frame pose.
std::unique_ptr<transform::Rigid3d> Interpolate(
const sensor::MapByTime<sensor::FixedFramePoseData>& map_by_time,
const int trajectory_id, const common::Time time) {
const auto it = map_by_time.lower_bound(trajectory_id, time);
if (it == map_by_time.EndOfTrajectory(trajectory_id) ||
!it->pose.has_value()) {
return nullptr;
}
if (it == map_by_time.BeginOfTrajectory(trajectory_id)) {
if (it->time == time) {
return absl::make_unique<transform::Rigid3d>(it->pose.value());
}
return nullptr;
}
const auto prev_it = std::prev(it);
if (prev_it->pose.has_value()) {
return absl::make_unique<transform::Rigid3d>(
Interpolate(transform::TimestampedTransform{prev_it->time,
prev_it->pose.value()},
transform::TimestampedTransform{it->time, it->pose.value()},
time)
.transform);
}
return nullptr;
}
// Selects a trajectory node closest in time to the landmark observation and
// applies a relative transform from it.
transform::Rigid3d GetInitialLandmarkPose(
const LandmarkNode::LandmarkObservation& observation,
const NodeSpec3D& prev_node, const NodeSpec3D& next_node,
const CeresPose& prev_node_pose, const CeresPose& next_node_pose) {
const double interpolation_parameter =
common::ToSeconds(observation.time - prev_node.time) /
common::ToSeconds(next_node.time - prev_node.time);
const std::tuple<std::array<double, 4>, std::array<double, 3>>
rotation_and_translation = InterpolateNodes3D(
prev_node_pose.rotation(), prev_node_pose.translation(),
next_node_pose.rotation(), next_node_pose.translation(),
interpolation_parameter);
return transform::Rigid3d::FromArrays(std::get<0>(rotation_and_translation),
std::get<1>(rotation_and_translation)) *
observation.landmark_to_tracking_transform;
}
void AddLandmarkCostFunctions(
const std::map<std::string, LandmarkNode>& landmark_nodes,
const MapById<NodeId, NodeSpec3D>& node_data,
MapById<NodeId, CeresPose>* C_nodes,
std::map<std::string, CeresPose>* C_landmarks, ceres::Problem* problem,
double huber_scale) {
for (const auto& landmark_node : landmark_nodes) {
// Do not use landmarks that were not optimized for localization.
for (const auto& observation : landmark_node.second.landmark_observations) {
const std::string& landmark_id = landmark_node.first;
const auto& begin_of_trajectory =
node_data.BeginOfTrajectory(observation.trajectory_id);
// The landmark observation was made before the trajectory was created.
if (observation.time < begin_of_trajectory->data.time) {
continue;
}
// Find the trajectory nodes before and after the landmark observation.
auto next =
node_data.lower_bound(observation.trajectory_id, observation.time);
// The landmark observation was made, but the next trajectory node has
// not been added yet.
if (next == node_data.EndOfTrajectory(observation.trajectory_id)) {
continue;
}
if (next == begin_of_trajectory) {
next = std::next(next);
}
auto prev = std::prev(next);
// Add parameter blocks for the landmark ID if they were not added before.
CeresPose* prev_node_pose = &C_nodes->at(prev->id);
CeresPose* next_node_pose = &C_nodes->at(next->id);
if (!C_landmarks->count(landmark_id)) {
const transform::Rigid3d starting_point =
landmark_node.second.global_landmark_pose.has_value()
? landmark_node.second.global_landmark_pose.value()
: GetInitialLandmarkPose(observation, prev->data, next->data,
*prev_node_pose, *next_node_pose);
C_landmarks->emplace(
landmark_id,
CeresPose(starting_point, nullptr /* translation_parametrization */,
absl::make_unique<ceres::QuaternionParameterization>(),
problem));
// Set landmark constant if it is frozen.
if (landmark_node.second.frozen) {
problem->SetParameterBlockConstant(
C_landmarks->at(landmark_id).translation());
problem->SetParameterBlockConstant(
C_landmarks->at(landmark_id).rotation());
}
}
problem->AddResidualBlock(
LandmarkCostFunction3D::CreateAutoDiffCostFunction(
observation, prev->data, next->data),
new ceres::HuberLoss(huber_scale), prev_node_pose->rotation(),
prev_node_pose->translation(), next_node_pose->rotation(),
next_node_pose->translation(),
C_landmarks->at(landmark_id).rotation(),
C_landmarks->at(landmark_id).translation());
}
}
}
} // namespace
OptimizationProblem3D::OptimizationProblem3D(
const optimization::proto::OptimizationProblemOptions& options)
: options_(options) {}
OptimizationProblem3D::~OptimizationProblem3D() {}
void OptimizationProblem3D::AddImuData(const int trajectory_id,
const sensor::ImuData& imu_data) {
imu_data_.Append(trajectory_id, imu_data);
}
void OptimizationProblem3D::AddOdometryData(
const int trajectory_id, const sensor::OdometryData& odometry_data) {
odometry_data_.Append(trajectory_id, odometry_data);
}
void OptimizationProblem3D::AddFixedFramePoseData(
const int trajectory_id,
const sensor::FixedFramePoseData& fixed_frame_pose_data) {
fixed_frame_pose_data_.Append(trajectory_id, fixed_frame_pose_data);
}
void OptimizationProblem3D::AddTrajectoryNode(const int trajectory_id,
const NodeSpec3D& node_data) {
node_data_.Append(trajectory_id, node_data);
trajectory_data_[trajectory_id];
}
void OptimizationProblem3D::SetTrajectoryData(
int trajectory_id, const TrajectoryData& trajectory_data) {
trajectory_data_[trajectory_id] = trajectory_data;
}
void OptimizationProblem3D::InsertTrajectoryNode(const NodeId& node_id,
const NodeSpec3D& node_data) {
node_data_.Insert(node_id, node_data);
trajectory_data_[node_id.trajectory_id];
}
void OptimizationProblem3D::TrimTrajectoryNode(const NodeId& node_id) {
imu_data_.Trim(node_data_, node_id);
odometry_data_.Trim(node_data_, node_id);
fixed_frame_pose_data_.Trim(node_data_, node_id);
node_data_.Trim(node_id);
if (node_data_.SizeOfTrajectoryOrZero(node_id.trajectory_id) == 0) {
trajectory_data_.erase(node_id.trajectory_id);
}
}
void OptimizationProblem3D::AddSubmap(
const int trajectory_id, const transform::Rigid3d& global_submap_pose) {
submap_data_.Append(trajectory_id, SubmapSpec3D{global_submap_pose});
}
void OptimizationProblem3D::InsertSubmap(
const SubmapId& submap_id, const transform::Rigid3d& global_submap_pose) {
submap_data_.Insert(submap_id, SubmapSpec3D{global_submap_pose});
}
void OptimizationProblem3D::TrimSubmap(const SubmapId& submap_id) {
submap_data_.Trim(submap_id);
}
void OptimizationProblem3D::SetMaxNumIterations(
const int32 max_num_iterations) {
options_.mutable_ceres_solver_options()->set_max_num_iterations(
max_num_iterations);
}
void OptimizationProblem3D::Solve(
const std::vector<Constraint>& constraints,
const std::map<int, PoseGraphInterface::TrajectoryState>&
trajectories_state,
const std::map<std::string, LandmarkNode>& landmark_nodes) {
if (node_data_.empty()) {
// Nothing to optimize.
return;
}
std::set<int> frozen_trajectories;
for (const auto& it : trajectories_state) {
if (it.second == PoseGraphInterface::TrajectoryState::FROZEN) {
frozen_trajectories.insert(it.first);
}
}
ceres::Problem::Options problem_options;
ceres::Problem problem(problem_options);
const auto translation_parameterization =
[this]() -> std::unique_ptr<ceres::LocalParameterization> {
return options_.fix_z_in_3d()
? absl::make_unique<ceres::SubsetParameterization>(
3, std::vector<int>{2})
: nullptr;
};
// Set the starting point.
CHECK(!submap_data_.empty());
MapById<SubmapId, CeresPose> C_submaps;
MapById<NodeId, CeresPose> C_nodes;
std::map<std::string, CeresPose> C_landmarks;
bool first_submap = true;
for (const auto& submap_id_data : submap_data_) {
const bool frozen =
frozen_trajectories.count(submap_id_data.id.trajectory_id) != 0;
if (first_submap) {
first_submap = false;
// Fix the first submap of the first trajectory except for allowing
// gravity alignment.
C_submaps.Insert(
submap_id_data.id,
CeresPose(submap_id_data.data.global_pose,
translation_parameterization(),
absl::make_unique<ceres::AutoDiffLocalParameterization<
ConstantYawQuaternionPlus, 4, 2>>(),
&problem));
problem.SetParameterBlockConstant(
C_submaps.at(submap_id_data.id).translation());
} else {
C_submaps.Insert(
submap_id_data.id,
CeresPose(submap_id_data.data.global_pose,
translation_parameterization(),
absl::make_unique<ceres::QuaternionParameterization>(),
&problem));
}
if (frozen) {
problem.SetParameterBlockConstant(
C_submaps.at(submap_id_data.id).rotation());
problem.SetParameterBlockConstant(
C_submaps.at(submap_id_data.id).translation());
}
}
for (const auto& node_id_data : node_data_) {
const bool frozen =
frozen_trajectories.count(node_id_data.id.trajectory_id) != 0;
C_nodes.Insert(
node_id_data.id,
CeresPose(node_id_data.data.global_pose, translation_parameterization(),
absl::make_unique<ceres::QuaternionParameterization>(),
&problem));
if (frozen) {
problem.SetParameterBlockConstant(C_nodes.at(node_id_data.id).rotation());
problem.SetParameterBlockConstant(
C_nodes.at(node_id_data.id).translation());
}
}
// Add cost functions for intra- and inter-submap constraints.
for (const Constraint& constraint : constraints) {
problem.AddResidualBlock(
SpaCostFunction3D::CreateAutoDiffCostFunction(constraint.pose),
// Loop closure constraints should have a loss function.
constraint.tag == Constraint::INTER_SUBMAP
? new ceres::HuberLoss(options_.huber_scale())
: nullptr /* loss function */,
C_submaps.at(constraint.submap_id).rotation(),
C_submaps.at(constraint.submap_id).translation(),
C_nodes.at(constraint.node_id).rotation(),
C_nodes.at(constraint.node_id).translation());
}
// Add cost functions for landmarks.
AddLandmarkCostFunctions(landmark_nodes, node_data_, &C_nodes, &C_landmarks,
&problem, options_.huber_scale());
// Add constraints based on IMU observations of angular velocities and
// linear acceleration.
if (!options_.fix_z_in_3d()) {
for (auto node_it = node_data_.begin(); node_it != node_data_.end();) {
const int trajectory_id = node_it->id.trajectory_id;
const auto trajectory_end = node_data_.EndOfTrajectory(trajectory_id);
if (frozen_trajectories.count(trajectory_id) != 0) {
// We skip frozen trajectories.
node_it = trajectory_end;
continue;
}
TrajectoryData& trajectory_data = trajectory_data_.at(trajectory_id);
problem.AddParameterBlock(trajectory_data.imu_calibration.data(), 4,
new ceres::QuaternionParameterization());
if (!options_.use_online_imu_extrinsics_in_3d()) {
problem.SetParameterBlockConstant(
trajectory_data.imu_calibration.data());
}
CHECK(imu_data_.HasTrajectory(trajectory_id));
const auto imu_data = imu_data_.trajectory(trajectory_id);
CHECK(imu_data.begin() != imu_data.end());
auto imu_it = imu_data.begin();
auto prev_node_it = node_it;
bool gravity_block_added = false;
for (++node_it; node_it != trajectory_end; ++node_it) {
const NodeId first_node_id = prev_node_it->id;
const NodeSpec3D& first_node_data = prev_node_it->data;
prev_node_it = node_it;
const NodeId second_node_id = node_it->id;
const NodeSpec3D& second_node_data = node_it->data;
if (second_node_id.node_index != first_node_id.node_index + 1) {
continue;
}
// Skip IMU data before the node.
while (std::next(imu_it) != imu_data.end() &&
std::next(imu_it)->time <= first_node_data.time) {
++imu_it;
}
auto imu_it2 = imu_it;
const IntegrateImuResult<double> result = IntegrateImu(
imu_data, first_node_data.time, second_node_data.time, &imu_it);
const auto next_node_it = std::next(node_it);
const common::Time first_time = first_node_data.time;
const common::Time second_time = second_node_data.time;
const common::Duration first_duration = second_time - first_time;
if (next_node_it != trajectory_end &&
next_node_it->id.node_index == second_node_id.node_index + 1) {
const NodeId third_node_id = next_node_it->id;
const NodeSpec3D& third_node_data = next_node_it->data;
const common::Time third_time = third_node_data.time;
const common::Duration second_duration = third_time - second_time;
const common::Time first_center = first_time + first_duration / 2;
const common::Time second_center = second_time + second_duration / 2;
const IntegrateImuResult<double> result_to_first_center =
IntegrateImu(imu_data, first_time, first_center, &imu_it2);
const IntegrateImuResult<double> result_center_to_center =
IntegrateImu(imu_data, first_center, second_center, &imu_it2);
// 'delta_velocity' is the change in velocity from the point in time
// halfway between the first and second poses to halfway between
// second and third pose. It is computed from IMU data and still
// contains a delta due to gravity. The orientation of this vector is
// in the IMU frame at the second pose.
const Eigen::Vector3d delta_velocity =
(result.delta_rotation.inverse() *
result_to_first_center.delta_rotation) *
result_center_to_center.delta_velocity;
problem.AddResidualBlock(
AccelerationCostFunction3D::CreateAutoDiffCostFunction(
options_.acceleration_weight() /
common::ToSeconds(first_duration + second_duration),
delta_velocity, common::ToSeconds(first_duration),
common::ToSeconds(second_duration)),
nullptr /* loss function */,
C_nodes.at(second_node_id).rotation(),
C_nodes.at(first_node_id).translation(),
C_nodes.at(second_node_id).translation(),
C_nodes.at(third_node_id).translation(),
&trajectory_data.gravity_constant,
trajectory_data.imu_calibration.data());
gravity_block_added = true;
}
problem.AddResidualBlock(
RotationCostFunction3D::CreateAutoDiffCostFunction(
options_.rotation_weight() / common::ToSeconds(first_duration),
result.delta_rotation),
nullptr /* loss function */, C_nodes.at(first_node_id).rotation(),
C_nodes.at(second_node_id).rotation(),
trajectory_data.imu_calibration.data());
}
if (gravity_block_added) {
// Force gravity constant to be positive.
problem.SetParameterLowerBound(&trajectory_data.gravity_constant, 0,
0.0);
}
}
}
if (options_.fix_z_in_3d()) {
// Add penalties for violating odometry (if available) and changes between
// consecutive nodes.
for (auto node_it = node_data_.begin(); node_it != node_data_.end();) {
const int trajectory_id = node_it->id.trajectory_id;
const auto trajectory_end = node_data_.EndOfTrajectory(trajectory_id);
if (frozen_trajectories.count(trajectory_id) != 0) {
node_it = trajectory_end;
continue;
}
auto prev_node_it = node_it;
for (++node_it; node_it != trajectory_end; ++node_it) {
const NodeId first_node_id = prev_node_it->id;
const NodeSpec3D& first_node_data = prev_node_it->data;
prev_node_it = node_it;
const NodeId second_node_id = node_it->id;
const NodeSpec3D& second_node_data = node_it->data;
if (second_node_id.node_index != first_node_id.node_index + 1) {
continue;
}
// Add a relative pose constraint based on the odometry (if available).
const std::unique_ptr<transform::Rigid3d> relative_odometry =
CalculateOdometryBetweenNodes(trajectory_id, first_node_data,
second_node_data);
if (relative_odometry != nullptr) {
problem.AddResidualBlock(
SpaCostFunction3D::CreateAutoDiffCostFunction(Constraint::Pose{
*relative_odometry, options_.odometry_translation_weight(),
options_.odometry_rotation_weight()}),
nullptr /* loss function */, C_nodes.at(first_node_id).rotation(),
C_nodes.at(first_node_id).translation(),
C_nodes.at(second_node_id).rotation(),
C_nodes.at(second_node_id).translation());
}
// Add a relative pose constraint based on consecutive local SLAM poses.
const transform::Rigid3d relative_local_slam_pose =
first_node_data.local_pose.inverse() * second_node_data.local_pose;
problem.AddResidualBlock(
SpaCostFunction3D::CreateAutoDiffCostFunction(
Constraint::Pose{relative_local_slam_pose,
options_.local_slam_pose_translation_weight(),
options_.local_slam_pose_rotation_weight()}),
nullptr /* loss function */, C_nodes.at(first_node_id).rotation(),
C_nodes.at(first_node_id).translation(),
C_nodes.at(second_node_id).rotation(),
C_nodes.at(second_node_id).translation());
}
}
}
// Add fixed frame pose constraints.
std::map<int, CeresPose> C_fixed_frames;
for (auto node_it = node_data_.begin(); node_it != node_data_.end();) {
const int trajectory_id = node_it->id.trajectory_id;
const auto trajectory_end = node_data_.EndOfTrajectory(trajectory_id);
if (!fixed_frame_pose_data_.HasTrajectory(trajectory_id)) {
node_it = trajectory_end;
continue;
}
const TrajectoryData& trajectory_data = trajectory_data_.at(trajectory_id);
bool fixed_frame_pose_initialized = false;
for (; node_it != trajectory_end; ++node_it) {
const NodeId node_id = node_it->id;
const NodeSpec3D& node_data = node_it->data;
const std::unique_ptr<transform::Rigid3d> fixed_frame_pose =
Interpolate(fixed_frame_pose_data_, trajectory_id, node_data.time);
if (fixed_frame_pose == nullptr) {
continue;
}
const Constraint::Pose constraint_pose{
*fixed_frame_pose, options_.fixed_frame_pose_translation_weight(),
options_.fixed_frame_pose_rotation_weight()};
if (!fixed_frame_pose_initialized) {
transform::Rigid3d fixed_frame_pose_in_map;
if (trajectory_data.fixed_frame_origin_in_map.has_value()) {
fixed_frame_pose_in_map =
trajectory_data.fixed_frame_origin_in_map.value();
} else {
fixed_frame_pose_in_map =
node_data.global_pose * constraint_pose.zbar_ij.inverse();
}
C_fixed_frames.emplace(
std::piecewise_construct, std::forward_as_tuple(trajectory_id),
std::forward_as_tuple(
transform::Rigid3d(
fixed_frame_pose_in_map.translation(),
Eigen::AngleAxisd(
transform::GetYaw(fixed_frame_pose_in_map.rotation()),
Eigen::Vector3d::UnitZ())),
nullptr,
absl::make_unique<ceres::AutoDiffLocalParameterization<
YawOnlyQuaternionPlus, 4, 1>>(),
&problem));
fixed_frame_pose_initialized = true;
}
problem.AddResidualBlock(
SpaCostFunction3D::CreateAutoDiffCostFunction(constraint_pose),
options_.fixed_frame_pose_use_tolerant_loss() ?
new ceres::TolerantLoss(
options_.fixed_frame_pose_tolerant_loss_param_a(),
options_.fixed_frame_pose_tolerant_loss_param_b()) : nullptr,
C_fixed_frames.at(trajectory_id).rotation(),
C_fixed_frames.at(trajectory_id).translation(),
C_nodes.at(node_id).rotation(), C_nodes.at(node_id).translation());
}
}
// Solve.
ceres::Solver::Summary summary;
ceres::Solve(
common::CreateCeresSolverOptions(options_.ceres_solver_options()),
&problem, &summary);
if (options_.log_solver_summary()) {
LOG(INFO) << summary.FullReport();
for (const auto& trajectory_id_and_data : trajectory_data_) {
const int trajectory_id = trajectory_id_and_data.first;
const TrajectoryData& trajectory_data = trajectory_id_and_data.second;
if (trajectory_id != 0) {
LOG(INFO) << "Trajectory " << trajectory_id << ":";
}
LOG(INFO) << "Gravity was: " << trajectory_data.gravity_constant;
const auto& imu_calibration = trajectory_data.imu_calibration;
LOG(INFO) << "IMU correction was: "
<< common::RadToDeg(2. *
std::acos(std::abs(imu_calibration[0])))
<< " deg (" << imu_calibration[0] << ", " << imu_calibration[1]
<< ", " << imu_calibration[2] << ", " << imu_calibration[3]
<< ")";
}
}
// Store the result.
for (const auto& C_submap_id_data : C_submaps) {
submap_data_.at(C_submap_id_data.id).global_pose =
C_submap_id_data.data.ToRigid();
}
for (const auto& C_node_id_data : C_nodes) {
node_data_.at(C_node_id_data.id).global_pose =
C_node_id_data.data.ToRigid();
}
for (const auto& C_fixed_frame : C_fixed_frames) {
trajectory_data_.at(C_fixed_frame.first).fixed_frame_origin_in_map =
C_fixed_frame.second.ToRigid();
}
for (const auto& C_landmark : C_landmarks) {
landmark_data_[C_landmark.first] = C_landmark.second.ToRigid();
}
}
std::unique_ptr<transform::Rigid3d>
OptimizationProblem3D::CalculateOdometryBetweenNodes(
const int trajectory_id, const NodeSpec3D& first_node_data,
const NodeSpec3D& second_node_data) const {
if (odometry_data_.HasTrajectory(trajectory_id)) {
const std::unique_ptr<transform::Rigid3d> first_node_odometry =
Interpolate(odometry_data_, trajectory_id, first_node_data.time);
const std::unique_ptr<transform::Rigid3d> second_node_odometry =
Interpolate(odometry_data_, trajectory_id, second_node_data.time);
if (first_node_odometry != nullptr && second_node_odometry != nullptr) {
const transform::Rigid3d relative_odometry =
first_node_odometry->inverse() * (*second_node_odometry);
return absl::make_unique<transform::Rigid3d>(relative_odometry);
}
}
return nullptr;
}
} // namespace optimization
} // namespace mapping
} // namespace cartographer
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