Move interpolation of poses to 'cost_helpers'. (#992)
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1e4d558ac4
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@ -55,43 +55,15 @@ class LandmarkCostFunction2D {
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bool operator()(const T* const prev_node_pose, const T* const next_node_pose,
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const T* const landmark_rotation,
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const T* const landmark_translation, T* const e) const {
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const std::array<T, 3> interpolated_pose_translation{
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{prev_node_pose[0] +
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interpolation_parameter_ * (next_node_pose[0] - prev_node_pose[0]),
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prev_node_pose[1] +
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interpolation_parameter_ * (next_node_pose[1] - prev_node_pose[1]),
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T(0)}};
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// The following is equivalent to (Embed3D(prev_pose) *
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// Rigid3d::Rotation(prev_pose_gravity_alignment)).rotation().
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const Eigen::Quaternion<T> prev_quaternion(
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(Eigen::AngleAxis<T>(prev_node_pose[2],
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Eigen::Matrix<T, 3, 1>::UnitZ()) *
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prev_node_gravity_alignment_.cast<T>())
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.normalized());
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const std::array<T, 4> prev_node_rotation = {
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{prev_quaternion.w(), prev_quaternion.x(), prev_quaternion.y(),
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prev_quaternion.z()}};
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// The following is equivalent to (Embed3D(next_pose) *
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// Rigid3d::Rotation(next_pose_gravity_alignment)).rotation().
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const Eigen::Quaternion<T> next_quaternion(
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(Eigen::AngleAxis<T>(next_node_pose[2],
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Eigen::Matrix<T, 3, 1>::UnitZ()) *
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next_node_gravity_alignment_.cast<T>())
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.normalized());
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const std::array<T, 4> next_node_rotation = {
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{next_quaternion.w(), next_quaternion.x(), next_quaternion.y(),
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next_quaternion.z()}};
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const std::array<T, 4> interpolated_pose_rotation =
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SlerpQuaternions(prev_node_rotation.data(), next_node_rotation.data(),
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T(interpolation_parameter_));
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const std::tuple<std::array<T, 4>, std::array<T, 3>>
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interpolated_rotation_and_translation = InterpolateNodes2D(
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prev_node_pose, prev_node_gravity_alignment_, next_node_pose,
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next_node_gravity_alignment_, interpolation_parameter_);
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const std::array<T, 6> error = ScaleError(
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ComputeUnscaledError(landmark_to_tracking_transform_,
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interpolated_pose_rotation.data(),
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interpolated_pose_translation.data(),
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ComputeUnscaledError(
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landmark_to_tracking_transform_,
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std::get<0>(interpolated_rotation_and_translation).data(),
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std::get<1>(interpolated_rotation_and_translation).data(),
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landmark_rotation, landmark_translation),
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T(translation_weight_), T(rotation_weight_));
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std::copy(std::begin(error), std::end(error), e);
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@ -60,23 +60,15 @@ class LandmarkCostFunction3D {
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const T* const next_node_translation,
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const T* const landmark_rotation,
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const T* const landmark_translation, T* const e) const {
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const std::array<T, 3> interpolated_pose_translation{
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{prev_node_translation[0] +
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interpolation_parameter_ *
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(next_node_translation[0] - prev_node_translation[0]),
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prev_node_translation[1] +
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interpolation_parameter_ *
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(next_node_translation[1] - prev_node_translation[1]),
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prev_node_translation[2] +
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interpolation_parameter_ *
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(next_node_translation[2] - prev_node_translation[2])}};
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const std::array<T, 4> interpolated_pose_rotation = SlerpQuaternions(
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prev_node_rotation, next_node_rotation, T(interpolation_parameter_));
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const std::tuple<std::array<T, 4>, std::array<T, 3>>
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interpolated_rotation_and_translation = InterpolateNodes3D(
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prev_node_rotation, prev_node_translation, next_node_rotation,
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next_node_translation, interpolation_parameter_);
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const std::array<T, 6> error = ScaleError(
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ComputeUnscaledError(landmark_to_tracking_transform_,
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interpolated_pose_rotation.data(),
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interpolated_pose_translation.data(),
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ComputeUnscaledError(
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landmark_to_tracking_transform_,
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std::get<0>(interpolated_rotation_and_translation).data(),
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std::get<1>(interpolated_rotation_and_translation).data(),
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landmark_rotation, landmark_translation),
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T(translation_weight_), T(rotation_weight_));
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std::copy(std::begin(error), std::end(error), e);
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@ -59,6 +59,27 @@ std::array<T, 6> ScaleError(std::array<T, 6> error, T translation_weight,
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template <typename T>
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std::array<T, 4> SlerpQuaternions(const T* const start, const T* const end,
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T factor);
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// Interpolates 3D poses. Linear interpolation is performed for translation and
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// spherical-linear one for rotation.
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template <typename T>
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std::tuple<std::array<T, 4> /* rotation */, std::array<T, 3> /* translation */>
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InterpolateNodes3D(const T* const prev_node_rotation,
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const T* const prev_node_translation,
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const T* const next_node_rotation,
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const T* const next_node_translation,
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const double interpolation_parameter);
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// Embeds 2D poses into 3D and interpolates them. Linear interpolation is
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// performed for translation and spherical-linear one for rotation.
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template <typename T>
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std::tuple<std::array<T, 4> /* rotation */, std::array<T, 3> /* translation */>
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InterpolateNodes2D(const T* const prev_node_pose,
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const Eigen::Quaterniond& prev_node_gravity_alignment,
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const T* const next_node_pose,
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const Eigen::Quaterniond& next_node_gravity_alignment,
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const double interpolation_parameter);
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} // namespace pose_graph
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} // namespace mapping
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} // namespace cartographer
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@ -120,6 +120,66 @@ std::array<T, 4> SlerpQuaternions(const T* const start, const T* const end,
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prev_scale * start[3] + next_scale * end[3]}};
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}
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template <typename T>
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std::tuple<std::array<T, 4> /* rotation */, std::array<T, 3> /* translation */>
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InterpolateNodes3D(const T* const prev_node_rotation,
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const T* const prev_node_translation,
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const T* const next_node_rotation,
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const T* const next_node_translation,
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const double interpolation_parameter) {
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return std::make_tuple(
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SlerpQuaternions(prev_node_rotation, next_node_rotation,
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T(interpolation_parameter)),
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std::array<T, 3>{
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{prev_node_translation[0] +
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interpolation_parameter *
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(next_node_translation[0] - prev_node_translation[0]),
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prev_node_translation[1] +
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interpolation_parameter *
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(next_node_translation[1] - prev_node_translation[1]),
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prev_node_translation[2] +
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interpolation_parameter *
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(next_node_translation[2] - prev_node_translation[2])}});
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}
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template <typename T>
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std::tuple<std::array<T, 4> /* rotation */, std::array<T, 3> /* translation */>
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InterpolateNodes2D(const T* const prev_node_pose,
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const Eigen::Quaterniond& prev_node_gravity_alignment,
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const T* const next_node_pose,
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const Eigen::Quaterniond& next_node_gravity_alignment,
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const double interpolation_parameter) {
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// The following is equivalent to (Embed3D(prev_node_pose) *
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// Rigid3d::Rotation(prev_node_gravity_alignment)).rotation().
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const Eigen::Quaternion<T> prev_quaternion(
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(Eigen::AngleAxis<T>(prev_node_pose[2], Eigen::Matrix<T, 3, 1>::UnitZ()) *
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prev_node_gravity_alignment.cast<T>())
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.normalized());
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const std::array<T, 4> prev_node_rotation = {
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{prev_quaternion.w(), prev_quaternion.x(), prev_quaternion.y(),
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prev_quaternion.z()}};
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// The following is equivalent to (Embed3D(next_node_pose) *
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// Rigid3d::Rotation(next_node_gravity_alignment)).rotation().
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const Eigen::Quaternion<T> next_quaternion(
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(Eigen::AngleAxis<T>(next_node_pose[2], Eigen::Matrix<T, 3, 1>::UnitZ()) *
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next_node_gravity_alignment.cast<T>())
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.normalized());
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const std::array<T, 4> next_node_rotation = {
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{next_quaternion.w(), next_quaternion.x(), next_quaternion.y(),
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next_quaternion.z()}};
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return std::make_tuple(
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SlerpQuaternions(prev_node_rotation.data(), next_node_rotation.data(),
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T(interpolation_parameter)),
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std::array<T, 3>{
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{prev_node_pose[0] + interpolation_parameter *
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(next_node_pose[0] - prev_node_pose[0]),
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prev_node_pose[1] + interpolation_parameter *
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(next_node_pose[1] - prev_node_pose[1]),
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T(0)}});
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}
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} // namespace pose_graph
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} // namespace mapping
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} // namespace cartographer
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