473 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			C++
		
	
	
			
		
		
	
	
			473 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			C++
		
	
	
/* ----------------------------------------------------------------------------
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 * GTSAM Copyright 2010, Georgia Tech Research Corporation,
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 * Atlanta, Georgia 30332-0415
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 * All Rights Reserved
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 * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
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 * See LICENSE for the license information
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 * -------------------------------------------------------------------------- */
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/**
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 * @file   SmartProjectionPoseFactorRollingShutter.h
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 * @brief  Smart projection factor on poses modeling rolling shutter effect with
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 * given readout time
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 * @author Luca Carlone
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 */
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#pragma once
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#include <gtsam/geometry/CameraSet.h>
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#include <gtsam/slam/SmartProjectionFactor.h>
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#include <gtsam_unstable/dllexport.h>
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namespace gtsam {
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/**
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 *
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 * @ingroup slam
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 *
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 * If you are using the factor, please cite:
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 * L. Carlone, Z. Kira, C. Beall, V. Indelman, F. Dellaert,
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 * Eliminating conditionally independent sets in factor graphs:
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 * a unifying perspective based on smart factors,
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 * Int. Conf. on Robotics and Automation (ICRA), 2014.
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 */
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/**
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 * This factor optimizes two consecutive poses of the body assuming a rolling
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 * shutter model of the camera with given readout time. The factor requires that
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 * values contain (for each pixel observation) two consecutive camera poses from
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 * which the pixel observation pose can be interpolated.
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 * @ingroup slam
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 */
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template <class CAMERA>
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class SmartProjectionPoseFactorRollingShutter
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    : public SmartProjectionFactor<CAMERA> {
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 private:
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  typedef SmartProjectionFactor<CAMERA> Base;
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  typedef SmartProjectionPoseFactorRollingShutter<CAMERA> This;
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  typedef typename CAMERA::CalibrationType CALIBRATION;
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  typedef typename CAMERA::Measurement MEASUREMENT;
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  typedef typename CAMERA::MeasurementVector MEASUREMENTS;
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 protected:
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  /// The keys of the pose of the body (with respect to an external world
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  /// frame): two consecutive poses for each observation
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  std::vector<std::pair<Key, Key>> world_P_body_key_pairs_;
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  /// interpolation factor (one for each observation) to interpolate between
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  /// pair of consecutive poses
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  std::vector<double> alphas_;
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  /// one or more cameras taking observations (fixed poses wrt body + fixed
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  /// intrinsics)
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  std::shared_ptr<typename Base::Cameras> cameraRig_;
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  /// vector of camera Ids (one for each observation, in the same order),
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  /// identifying which camera took the measurement
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  FastVector<size_t> cameraIds_;
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 public:
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  EIGEN_MAKE_ALIGNED_OPERATOR_NEW
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  static const int DimBlock =
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      12;  ///< size of the variable stacking 2 poses from which the observation
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           ///< pose is interpolated
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  static const int DimPose = 6;  ///< Pose3 dimension
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  static const int ZDim = 2;     ///< Measurement dimension (Point2)
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  typedef Eigen::Matrix<double, ZDim, DimBlock>
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      MatrixZD;  // F blocks (derivatives wrt block of 2 poses)
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  typedef std::vector<MatrixZD, Eigen::aligned_allocator<MatrixZD>>
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      FBlocks;  // vector of F blocks
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  typedef CAMERA Camera;
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  typedef CameraSet<CAMERA> Cameras;
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  /// shorthand for a smart pointer to a factor
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  typedef std::shared_ptr<This> shared_ptr;
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  /// Default constructor, only for serialization
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  SmartProjectionPoseFactorRollingShutter() {}
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  /**
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   * Constructor
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   * @param Isotropic measurement noise
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   * @param cameraRig set of cameras (fixed poses wrt body and intrinsics)
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   * taking the measurements
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   * @param params internal parameters of the smart factors
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   */
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  SmartProjectionPoseFactorRollingShutter(
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      const SharedNoiseModel& sharedNoiseModel,
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      const std::shared_ptr<Cameras>& cameraRig,
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      const SmartProjectionParams& params = SmartProjectionParams())
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      : Base(sharedNoiseModel, params), cameraRig_(cameraRig) {
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    // throw exception if configuration is not supported by this factor
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    if (Base::params_.degeneracyMode != gtsam::ZERO_ON_DEGENERACY)
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      throw std::runtime_error(
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          "SmartProjectionRigFactor: "
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          "degeneracyMode must be set to ZERO_ON_DEGENERACY");
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    if (Base::params_.linearizationMode != gtsam::HESSIAN)
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      throw std::runtime_error(
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          "SmartProjectionRigFactor: "
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          "linearizationMode must be set to HESSIAN");
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  }
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  /**
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   * add a new measurement, with 2 pose keys, interpolation factor, and cameraId
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   * @param measured 2-dimensional location of the projection of a single
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   *  landmark in a single view (the measurement), interpolated from the 2 poses
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   * @param world_P_body_key1 key corresponding to the first body poses (time <=
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   *  time pixel is acquired)
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   * @param world_P_body_key2 key corresponding to the second body poses (time
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   *  >= time pixel is acquired)
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   * @param alpha interpolation factor in [0,1], such that if alpha = 0 the
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   *  interpolated pose is the same as world_P_body_key1
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   * @param cameraId ID of the camera taking the measurement (default 0)
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   */
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  void add(const MEASUREMENT& measured, const Key& world_P_body_key1,
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           const Key& world_P_body_key2, const double& alpha,
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           const size_t& cameraId = 0) {
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    // store measurements in base class
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    this->measured_.push_back(measured);
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    // store the pair of keys for each measurement, in the same order
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    world_P_body_key_pairs_.push_back(
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        std::make_pair(world_P_body_key1, world_P_body_key2));
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    //  also store keys in the keys_ vector: these keys are assumed to be
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    //  unique, so we avoid duplicates here
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    if (std::find(this->keys_.begin(), this->keys_.end(), world_P_body_key1) ==
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        this->keys_.end())
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      this->keys_.push_back(world_P_body_key1);  // add only unique keys
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    if (std::find(this->keys_.begin(), this->keys_.end(), world_P_body_key2) ==
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        this->keys_.end())
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      this->keys_.push_back(world_P_body_key2);  // add only unique keys
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    // store interpolation factor
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    alphas_.push_back(alpha);
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    // store id of the camera taking the measurement
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    cameraIds_.push_back(cameraId);
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  }
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  /**
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   * Variant of the previous "add" function in which we include multiple
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   * measurements
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   * @param measurements vector of the 2m dimensional location of the projection
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   *  of a single landmark in the m views (the measurements)
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   * @param world_P_body_key_pairs vector where the i-th element contains a pair
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   *  of keys corresponding to the pair of poses from which the observation pose
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   *  for the i0-th measurement can be interpolated
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   * @param alphas vector of interpolation params (in [0,1]), one for each
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   * measurement (in the same order)
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   * @param cameraIds IDs of the cameras taking each measurement (same order as
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   * the measurements)
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   */
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  void add(const MEASUREMENTS& measurements,
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           const std::vector<std::pair<Key, Key>>& world_P_body_key_pairs,
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           const std::vector<double>& alphas,
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           const FastVector<size_t>& cameraIds = FastVector<size_t>()) {
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    if (world_P_body_key_pairs.size() != measurements.size() ||
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        world_P_body_key_pairs.size() != alphas.size() ||
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        (world_P_body_key_pairs.size() != cameraIds.size() &&
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         cameraIds.size() != 0)) {  // cameraIds.size()=0 is default
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      throw std::runtime_error(
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          "SmartProjectionPoseFactorRollingShutter: "
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          "trying to add inconsistent inputs");
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    }
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    if (cameraIds.size() == 0 && cameraRig_->size() > 1) {
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      throw std::runtime_error(
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          "SmartProjectionPoseFactorRollingShutter: "
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          "camera rig includes multiple camera "
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          "but add did not input cameraIds");
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    }
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    for (size_t i = 0; i < measurements.size(); i++) {
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      add(measurements[i], world_P_body_key_pairs[i].first,
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          world_P_body_key_pairs[i].second, alphas[i],
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          cameraIds.size() == 0 ? 0
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                                : cameraIds[i]);  // use 0 as default if
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                                                  // cameraIds was not specified
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    }
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  }
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  /// return (for each observation) the keys of the pair of poses from which we
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  /// interpolate
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  const std::vector<std::pair<Key, Key>>& world_P_body_key_pairs() const {
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    return world_P_body_key_pairs_;
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  }
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  /// return the interpolation factors alphas
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  const std::vector<double>& alphas() const { return alphas_; }
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  /// return the calibration object
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  const std::shared_ptr<Cameras>& cameraRig() const { return cameraRig_; }
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  /// return the calibration object
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  const FastVector<size_t>& cameraIds() const { return cameraIds_; }
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  /**
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   * print
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   * @param s optional string naming the factor
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   * @param keyFormatter optional formatter useful for printing Symbols
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   */
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  void print(
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      const std::string& s = "",
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      const KeyFormatter& keyFormatter = DefaultKeyFormatter) const override {
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    std::cout << s << "SmartProjectionPoseFactorRollingShutter: \n ";
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    for (size_t i = 0; i < cameraIds_.size(); i++) {
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      std::cout << "-- Measurement nr " << i << std::endl;
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      std::cout << " pose1 key: "
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                << keyFormatter(world_P_body_key_pairs_[i].first) << std::endl;
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      std::cout << " pose2 key: "
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                << keyFormatter(world_P_body_key_pairs_[i].second) << std::endl;
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      std::cout << " alpha: " << alphas_[i] << std::endl;
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      std::cout << "cameraId: " << cameraIds_[i] << std::endl;
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      (*cameraRig_)[cameraIds_[i]].print("camera in rig:\n");
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    }
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    Base::print("", keyFormatter);
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  }
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  /// equals
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  bool equals(const NonlinearFactor& p, double tol = 1e-9) const override {
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    const SmartProjectionPoseFactorRollingShutter<CAMERA>* e =
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        dynamic_cast<const SmartProjectionPoseFactorRollingShutter<CAMERA>*>(
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            &p);
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    double keyPairsEqual = true;
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    if (this->world_P_body_key_pairs_.size() ==
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        e->world_P_body_key_pairs().size()) {
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      for (size_t k = 0; k < this->world_P_body_key_pairs_.size(); k++) {
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        const Key key1own = world_P_body_key_pairs_[k].first;
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        const Key key1e = e->world_P_body_key_pairs()[k].first;
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        const Key key2own = world_P_body_key_pairs_[k].second;
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        const Key key2e = e->world_P_body_key_pairs()[k].second;
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        if (!(key1own == key1e) || !(key2own == key2e)) {
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          keyPairsEqual = false;
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          break;
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        }
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      }
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    } else {
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      keyPairsEqual = false;
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    }
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    return e && Base::equals(p, tol) && alphas_ == e->alphas() &&
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           keyPairsEqual && cameraRig_->equals(*(e->cameraRig())) &&
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           std::equal(cameraIds_.begin(), cameraIds_.end(),
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                      e->cameraIds().begin());
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  }
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  /**
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   * Collect all cameras involved in this factor
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   * @param values Values structure which must contain camera poses
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   * corresponding to keys involved in this factor
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   * @return Cameras
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   */
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  typename Base::Cameras cameras(const Values& values) const override {
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    typename Base::Cameras cameras;
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    for (size_t i = 0; i < this->measured_.size();
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         i++) {  // for each measurement
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      const Pose3& w_P_body1 =
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          values.at<Pose3>(world_P_body_key_pairs_[i].first);
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      const Pose3& w_P_body2 =
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          values.at<Pose3>(world_P_body_key_pairs_[i].second);
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      double interpolationFactor = alphas_[i];
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      const Pose3& w_P_body =
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          interpolate<Pose3>(w_P_body1, w_P_body2, interpolationFactor);
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      const typename Base::Camera& camera_i = (*cameraRig_)[cameraIds_[i]];
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      const Pose3& body_P_cam = camera_i.pose();
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      const Pose3& w_P_cam = w_P_body.compose(body_P_cam);
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      cameras.emplace_back(w_P_cam,
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                           make_shared<typename CAMERA::CalibrationType>(
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                               camera_i.calibration()));
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    }
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    return cameras;
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  }
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  /**
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   * error calculates the error of the factor.
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   */
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  double error(const Values& values) const override {
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    if (this->active(values)) {
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      return this->totalReprojectionError(this->cameras(values));
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    } else {  // else of active flag
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      return 0.0;
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    }
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  }
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  /**
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   * Compute jacobian F, E and error vector at a given linearization point
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   * @param values Values structure which must contain camera poses
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   * corresponding to keys involved in this factor
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   * @return Return arguments are the camera jacobians Fs (including the
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   * jacobian with respect to both body poses we interpolate from), the point
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   * Jacobian E, and the error vector b. Note that the jacobians are computed
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   * for a given point.
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   */
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  void computeJacobiansWithTriangulatedPoint(FBlocks& Fs, Matrix& E, Vector& b,
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                                             const Values& values) const {
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    if (!this->result_) {
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      throw("computeJacobiansWithTriangulatedPoint");
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    } else {  // valid result: compute jacobians
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      size_t numViews = this->measured_.size();
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      E = Matrix::Zero(2 * numViews,
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                       3);  // a Point2 for each view (point jacobian)
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      b = Vector::Zero(2 * numViews);  // a Point2 for each view
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      // intermediate Jacobians
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      Eigen::Matrix<double, ZDim, DimPose> dProject_dPoseCam;
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      Eigen::Matrix<double, DimPose, DimPose> dInterpPose_dPoseBody1,
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          dInterpPose_dPoseBody2, dPoseCam_dInterpPose;
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      Eigen::Matrix<double, ZDim, 3> Ei;
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      for (size_t i = 0; i < numViews; i++) {  // for each camera/measurement
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        auto w_P_body1 = values.at<Pose3>(world_P_body_key_pairs_[i].first);
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        auto w_P_body2 = values.at<Pose3>(world_P_body_key_pairs_[i].second);
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        double interpolationFactor = alphas_[i];
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        // get interpolated pose:
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        auto w_P_body =
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            interpolate<Pose3>(w_P_body1, w_P_body2, interpolationFactor,
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                               dInterpPose_dPoseBody1, dInterpPose_dPoseBody2);
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        const typename Base::Camera& camera_i = (*cameraRig_)[cameraIds_[i]];
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        auto body_P_cam = camera_i.pose();
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        auto w_P_cam = w_P_body.compose(body_P_cam, dPoseCam_dInterpPose);
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        typename Base::Camera camera(
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            w_P_cam, make_shared<typename CAMERA::CalibrationType>(
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                         camera_i.calibration()));
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        // get jacobians and error vector for current measurement
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        Point2 reprojectionError_i = camera.reprojectionError(
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            *this->result_, this->measured_.at(i), dProject_dPoseCam, Ei);
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        Eigen::Matrix<double, ZDim, DimBlock> J;  // 2 x 12
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        J.block(0, 0, ZDim, 6) =
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            dProject_dPoseCam * dPoseCam_dInterpPose *
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            dInterpPose_dPoseBody1;  // (2x6) * (6x6) * (6x6)
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        J.block(0, 6, ZDim, 6) =
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            dProject_dPoseCam * dPoseCam_dInterpPose *
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            dInterpPose_dPoseBody2;  // (2x6) * (6x6) * (6x6)
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        // fit into the output structures
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        Fs.push_back(J);
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        size_t row = 2 * i;
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        b.segment<ZDim>(row) = -reprojectionError_i;
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        E.block<ZDim, 3>(row, 0) = Ei;
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      }
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    }
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  }
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  /// linearize and return a Hessianfactor that is an approximation of error(p)
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  std::shared_ptr<RegularHessianFactor<DimPose>> createHessianFactor(
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      const Values& values, const double& lambda = 0.0,
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      bool diagonalDamping = false) const {
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    // we may have multiple observation sharing the same keys (due to the
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    // rolling shutter interpolation), hence the number of unique keys may be
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    // smaller than 2 * nrMeasurements
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    size_t nrUniqueKeys =
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        this->keys_
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            .size();  // note: by construction, keys_ only contains unique keys
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    typename Base::Cameras cameras = this->cameras(values);
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    // Create structures for Hessian Factors
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    KeyVector js;
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    std::vector<Matrix> Gs(nrUniqueKeys * (nrUniqueKeys + 1) / 2);
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    std::vector<Vector> gs(nrUniqueKeys);
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    if (this->measured_.size() !=
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        cameras.size())  // 1 observation per interpolated camera
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      throw std::runtime_error(
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          "SmartProjectionPoseFactorRollingShutter: "
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          "measured_.size() inconsistent with input");
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    // triangulate 3D point at given linearization point
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    this->triangulateSafe(cameras);
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    if (!this->result_) {  // failed: return "empty/zero" Hessian
 | 
						|
      if (this->params_.degeneracyMode == ZERO_ON_DEGENERACY) {
 | 
						|
        for (Matrix& m : Gs) m = Matrix::Zero(DimPose, DimPose);
 | 
						|
        for (Vector& v : gs) v = Vector::Zero(DimPose);
 | 
						|
        return std::make_shared<RegularHessianFactor<DimPose>>(this->keys_,
 | 
						|
                                                                 Gs, gs, 0.0);
 | 
						|
      } else {
 | 
						|
        throw std::runtime_error(
 | 
						|
            "SmartProjectionPoseFactorRollingShutter: "
 | 
						|
            "only supported degeneracy mode is ZERO_ON_DEGENERACY");
 | 
						|
      }
 | 
						|
    }
 | 
						|
    // compute Jacobian given triangulated 3D Point
 | 
						|
    FBlocks Fs;
 | 
						|
    Matrix E;
 | 
						|
    Vector b;
 | 
						|
    this->computeJacobiansWithTriangulatedPoint(Fs, E, b, values);
 | 
						|
 | 
						|
    // Whiten using noise model
 | 
						|
    this->noiseModel_->WhitenSystem(E, b);
 | 
						|
    for (size_t i = 0; i < Fs.size(); i++)
 | 
						|
      Fs[i] = this->noiseModel_->Whiten(Fs[i]);
 | 
						|
 | 
						|
    Matrix3 P = Cameras::PointCov(E, lambda, diagonalDamping);
 | 
						|
 | 
						|
    // Collect all the key pairs: these are the keys that correspond to the
 | 
						|
    // blocks in Fs (on which we apply the Schur Complement)
 | 
						|
    KeyVector nonuniqueKeys;
 | 
						|
    for (size_t i = 0; i < world_P_body_key_pairs_.size(); i++) {
 | 
						|
      nonuniqueKeys.push_back(world_P_body_key_pairs_.at(i).first);
 | 
						|
      nonuniqueKeys.push_back(world_P_body_key_pairs_.at(i).second);
 | 
						|
    }
 | 
						|
 | 
						|
    // Build augmented Hessian (with last row/column being the information
 | 
						|
    // vector) Note: we need to get the augumented hessian wrt the unique keys
 | 
						|
    // in key_
 | 
						|
    SymmetricBlockMatrix augmentedHessianUniqueKeys =
 | 
						|
        Base::Cameras::template SchurComplementAndRearrangeBlocks<3, 12, 6>(
 | 
						|
            Fs, E, P, b, nonuniqueKeys, this->keys_);
 | 
						|
 | 
						|
    return std::make_shared<RegularHessianFactor<DimPose>>(
 | 
						|
        this->keys_, augmentedHessianUniqueKeys);
 | 
						|
  }
 | 
						|
 | 
						|
  /**
 | 
						|
   * Linearize to Gaussian Factor (possibly adding a damping factor Lambda for
 | 
						|
   * LM)
 | 
						|
   * @param values Values structure which must contain camera poses and
 | 
						|
   * extrinsic pose for this factor
 | 
						|
   * @return a Gaussian factor
 | 
						|
   */
 | 
						|
  std::shared_ptr<GaussianFactor> linearizeDamped(
 | 
						|
      const Values& values, const double& lambda = 0.0) const {
 | 
						|
    // depending on flag set on construction we may linearize to different
 | 
						|
    // linear factors
 | 
						|
    switch (this->params_.linearizationMode) {
 | 
						|
      case HESSIAN:
 | 
						|
        return this->createHessianFactor(values, lambda);
 | 
						|
      default:
 | 
						|
        throw std::runtime_error(
 | 
						|
            "SmartProjectionPoseFactorRollingShutter: "
 | 
						|
            "unknown linearization mode");
 | 
						|
    }
 | 
						|
  }
 | 
						|
 | 
						|
  /// linearize
 | 
						|
  std::shared_ptr<GaussianFactor> linearize(
 | 
						|
      const Values& values) const override {
 | 
						|
    return this->linearizeDamped(values);
 | 
						|
  }
 | 
						|
 | 
						|
 private:
 | 
						|
#if GTSAM_ENABLE_BOOST_SERIALIZATION  ///
 | 
						|
  /// Serialization function
 | 
						|
  friend class boost::serialization::access;
 | 
						|
  template <class ARCHIVE>
 | 
						|
  void serialize(ARCHIVE& ar, const unsigned int /*version*/) {
 | 
						|
    ar& BOOST_SERIALIZATION_BASE_OBJECT_NVP(Base);
 | 
						|
  }
 | 
						|
#endif
 | 
						|
};
 | 
						|
// end of class declaration
 | 
						|
 | 
						|
/// traits
 | 
						|
template <class CAMERA>
 | 
						|
struct traits<SmartProjectionPoseFactorRollingShutter<CAMERA>>
 | 
						|
    : public Testable<SmartProjectionPoseFactorRollingShutter<CAMERA>> {};
 | 
						|
 | 
						|
}  // namespace gtsam
 |