creating GPSFactorArm and GPSFactor2Arm w/ lever arm arguments
parent
af1e6e34e6
commit
b81593601a
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@ -64,6 +64,37 @@ pair<Pose3, Vector3> GPSFactor::EstimateState(double t1, const Point3& NED1,
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return make_pair(nTb, nV);
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}
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//***************************************************************************
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void GPSFactorArm::print(const string& s, const KeyFormatter& keyFormatter) const {
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cout << s << "GPSFactorArm on " << keyFormatter(key()) << "\n";
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cout << " GPS measurement: " << nT_.transpose() << "\n";
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cout << " Lever arm: " << bL_.transpose() << "\n";
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noiseModel_->print(" noise model: ");
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}
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//***************************************************************************
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bool GPSFactorArm::equals(const NonlinearFactor& expected, double tol) const {
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const This* e = dynamic_cast<const This*>(&expected);
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return e != nullptr && Base::equals(*e, tol) &&
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traits<Point3>::Equals(nT_, e->nT_, tol) &&
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traits<Point3>::Equals(bL_, e->bL_, tol);
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}
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//***************************************************************************
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Vector GPSFactorArm::evaluateError(const Pose3& p,
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OptionalMatrixType H) const {
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const Matrix3 nRb = p.rotation().matrix();
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if (H) {
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H->resize(3, 6);
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H->block<3, 3>(0, 0) = -nRb * skewSymmetric(bL_);
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H->block<3, 3>(0, 3) = nRb;
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}
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return p.translation() + nRb * bL_ - nT_;
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}
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//***************************************************************************
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void GPSFactor2::print(const string& s, const KeyFormatter& keyFormatter) const {
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cout << s << "GPSFactor2 on " << keyFormatter(key()) << "\n";
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@ -85,5 +116,34 @@ Vector GPSFactor2::evaluateError(const NavState& p,
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}
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//***************************************************************************
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void GPSFactor2Arm::print(const string& s, const KeyFormatter& keyFormatter) const {
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cout << s << "GPSFactorArm on " << keyFormatter(key()) << "\n";
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cout << " GPS measurement: " << nT_.transpose() << "\n";
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cout << " Lever arm: " << bL_.transpose() << "\n";
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noiseModel_->print(" noise model: ");
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}
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//***************************************************************************
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bool GPSFactor2Arm::equals(const NonlinearFactor& expected, double tol) const {
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const This* e = dynamic_cast<const This*>(&expected);
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return e != nullptr && Base::equals(*e, tol) &&
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traits<Point3>::Equals(nT_, e->nT_, tol) &&
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traits<Point3>::Equals(bL_, e->bL_, tol);
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}
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//***************************************************************************
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Vector GPSFactor2Arm::evaluateError(const NavState& p,
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OptionalMatrixType H) const {
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const Matrix3 nRb = p.attitude().matrix();
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if (H) {
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H->resize(3, 9);
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H->block<3, 3>(0, 0) = -nRb * skewSymmetric(bL_);
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H->block<3, 3>(0, 3) = nRb;
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H->block<3, 3>(0, 6).setZero();
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}
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return p.position() + nRb * bL_ - nT_;
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}
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}/// namespace gtsam
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@ -24,7 +24,10 @@
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namespace gtsam {
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/**
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* Prior on position in a Cartesian frame.
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* Prior on position in a Cartesian frame, assuming position prior is in body
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* frame.
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* If there exists a non-zero lever arm between body frame and GPS
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* antenna, instead use GPSFactorArm.
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* Possibilities include:
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* ENU: East-North-Up navigation frame at some local origin
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* NED: North-East-Down navigation frame at some local origin
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@ -112,7 +115,81 @@ private:
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};
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/**
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* Version of GPSFactor for NavState
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* Version of GPSFactor (for Pose3) with lever arm between GPS and Body frame.
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* Because the actual location of the antenna depends on both position and
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* attitude, providing a lever arm makes components of the attitude observable
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* and accounts for position measurement vs state discrepancies while turning.
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* @ingroup navigation
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*/
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class GTSAM_EXPORT GPSFactorArm: public NoiseModelFactorN<Pose3> {
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private:
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typedef NoiseModelFactorN<Pose3> Base;
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Point3 nT_; ///< Position measurement in cartesian coordinates
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Point3 bL_; ///< bL_ is a lever arm in the body frame, denoting the 3D
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///< position of the GPS antenna in the body frame
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public:
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// Provide access to the Matrix& version of evaluateError:
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using Base::evaluateError;
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/// shorthand for a smart pointer to a factor
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typedef std::shared_ptr<GPSFactorArm> shared_ptr;
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/// Typedef to this class
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typedef GPSFactorArm This;
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/// default constructor - only use for serialization
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GPSFactorArm():nT_(0, 0, 0), bL_(0, 0, 0) {}
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~GPSFactorArm() override {}
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/// Constructor from a measurement in a Cartesian frame.
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GPSFactorArm(Key key, const Point3& gpsIn, const Point3& leverArm, const SharedNoiseModel& model) :
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Base(model, key), nT_(gpsIn), bL_(leverArm) {
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}
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/// @return a deep copy of this factor
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gtsam::NonlinearFactor::shared_ptr clone() const override {
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return std::static_pointer_cast<gtsam::NonlinearFactor>(
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gtsam::NonlinearFactor::shared_ptr(new This(*this)));
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}
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/// print
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void print(const std::string& s = "", const KeyFormatter& keyFormatter =
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DefaultKeyFormatter) const override;
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/// equals
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bool equals(const NonlinearFactor& expected, double tol = 1e-9) const override;
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/// vector of errors
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Vector evaluateError(const Pose3& p, OptionalMatrixType H) const override;
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inline const Point3 & measurementIn() const {
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return nT_;
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}
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inline const Point3 & leverArm() const {
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return bL_;
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}
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/**
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* Convenience function to estimate state at time t, given two GPS
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* readings (in local NED Cartesian frame) bracketing t
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* Assumes roll is zero, calculates yaw and pitch from NED1->NED2 vector.
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*/
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static std::pair<Pose3, Vector3> EstimateState(double t1, const Point3& NED1,
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double t2, const Point3& NED2, double timestamp);
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};
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/**
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* Version of GPSFactor for NavState, assuming zero lever arm between body frame
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* and GPS. If there exists a non-zero lever arm between body frame and GPS
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* antenna, instead use GPSFactor2Arm.
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* @ingroup navigation
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*/
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class GTSAM_EXPORT GPSFactor2: public NoiseModelFactorN<NavState> {
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@ -180,4 +257,68 @@ private:
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#endif
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};
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/**
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* Version of GPSFactor2 with lever arm between GPS and Body frame.
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* Because the actual location of the antenna depends on both position and
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* attitude, providing a lever arm makes components of the attitude observable
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* and accounts for position measurement vs state discrepancies while turning.
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* @ingroup navigation
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*/
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class GTSAM_EXPORT GPSFactor2Arm: public NoiseModelFactorN<NavState> {
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private:
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typedef NoiseModelFactorN<NavState> Base;
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Point3 nT_; ///< Position measurement in cartesian coordinates
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Point3 bL_; ///< bL_ is a lever arm in the body frame, denoting the 3D
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///< position of the GPS antenna in the body frame
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public:
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// Provide access to the Matrix& version of evaluateError:
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using Base::evaluateError;
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/// shorthand for a smart pointer to a factor
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typedef std::shared_ptr<GPSFactor2Arm> shared_ptr;
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/// Typedef to this class
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typedef GPSFactor2Arm This;
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/// default constructor - only use for serialization
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GPSFactor2Arm():nT_(0, 0, 0), bL_(0, 0, 0) {}
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~GPSFactor2Arm() override {}
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/// Constructor from a measurement in a Cartesian frame.
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GPSFactor2Arm(Key key, const Point3& gpsIn, const Point3& leverArm, const SharedNoiseModel& model) :
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Base(model, key), nT_(gpsIn), bL_(leverArm) {
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}
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/// @return a deep copy of this factor
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gtsam::NonlinearFactor::shared_ptr clone() const override {
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return std::static_pointer_cast<gtsam::NonlinearFactor>(
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gtsam::NonlinearFactor::shared_ptr(new This(*this)));
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}
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/// print
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void print(const std::string& s = "", const KeyFormatter& keyFormatter =
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DefaultKeyFormatter) const override;
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/// equals
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bool equals(const NonlinearFactor& expected, double tol = 1e-9) const override;
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/// vector of errors
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Vector evaluateError(const NavState& p, OptionalMatrixType H) const override;
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inline const Point3 & measurementIn() const {
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return nT_;
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}
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inline const Point3 & leverArm() const {
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return bL_;
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}
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};
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} /// namespace gtsam
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@ -44,7 +44,11 @@ const double lat0 = 33.86998, lon0 = -84.30626, h0 = 274;
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LocalCartesian origin_ENU(lat0, lon0, h0, kWGS84);
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// Dekalb-Peachtree Airport runway 2L
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const double lat = 33.87071, lon = -84.30482, h = 274;
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const double lat = 33.87071, lon = -84.30482, h = 274;\
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// Random lever arm
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const Point3 leverArm(0.1, 0.2, 0.3);
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}
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// *************************************************************************
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@ -79,6 +83,37 @@ TEST( GPSFactor, Constructor ) {
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EXPECT(assert_equal(expectedH, actualH, 1e-8));
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}
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// *************************************************************************
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TEST( GPSFactorArm, Constructor ) {
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using namespace example;
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// From lat-lon to geocentric
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double E, N, U;
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origin_ENU.Forward(lat, lon, h, E, N, U);
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// Factor
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Key key(1);
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SharedNoiseModel model = noiseModel::Isotropic::Sigma(3, 0.25);
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GPSFactorArm factor(key, Point3(E, N, U), leverArm, model);
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// Create a linearization point at zero error
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const Rot3 nRb = Rot3::RzRyRx(0.15, -0.30, 0.45);
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const Point3 np = Point3(E, N, U) - nRb * leverArm;
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Pose3 T(nRb, np);
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EXPECT(assert_equal(Z_3x1,factor.evaluateError(T),1e-5));
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// Calculate numerical derivatives
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Matrix expectedH = numericalDerivative11<Vector, Pose3>(
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[&factor](const Pose3& T) { return factor.evaluateError(T); }, T);
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// Use the factor to calculate the derivative
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Matrix actualH;
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factor.evaluateError(T, actualH);
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// Verify we get the expected error
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EXPECT(assert_equal(expectedH, actualH, 1e-8));
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}
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// *************************************************************************
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TEST( GPSFactor2, Constructor ) {
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using namespace example;
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@ -108,6 +143,37 @@ TEST( GPSFactor2, Constructor ) {
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EXPECT(assert_equal(expectedH, actualH, 1e-8));
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}
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// *************************************************************************
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TEST( GPSFactor2Arm, Constructor ) {
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using namespace example;
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// From lat-lon to geocentric
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double E, N, U;
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origin_ENU.Forward(lat, lon, h, E, N, U);
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// Factor
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Key key(1);
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SharedNoiseModel model = noiseModel::Isotropic::Sigma(3, 0.25);
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GPSFactor2Arm factor(key, Point3(E, N, U), leverArm, model);
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// Create a linearization point at zero error
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const Rot3 nRb = Rot3::RzRyRx(0.15, -0.30, 0.45);
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const Point3 np = Point3(E, N, U) - nRb * leverArm;
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NavState T(nRb, np, Vector3::Zero());
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EXPECT(assert_equal(Z_3x1,factor.evaluateError(T),1e-5));
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// Calculate numerical derivatives
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Matrix expectedH = numericalDerivative11<Vector, NavState>(
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[&factor](const NavState& T) { return factor.evaluateError(T); }, T);
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// Use the factor to calculate the derivative
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Matrix actualH;
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factor.evaluateError(T, actualH);
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// Verify we get the expected error
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EXPECT(assert_equal(expectedH, actualH, 1e-8));
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}
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//***************************************************************************
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TEST(GPSData, init) {
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