Detailed Description

Integrate on the 9D tangent space of the NavState manifold.

See extensive discussion in ImuFactor.lyx

Inheritance diagram for gtsam::TangentPreintegration:

Main functionality
void	update (const Vector3 &measuredAcc, const Vector3 &measuredOmega, const double dt, Matrix9 A, Matrix93 B, Matrix93 *C) override
	Update preintegrated measurements and get derivatives It takes measured quantities in the j frame Modifies preintegrated quantities in place after correcting for bias and possibly sensor pose NOTE(frank): implementation is different in two versions.

Vector9	biasCorrectedDelta (const imuBias::ConstantBias &bias_i, OptionalJacobian< 9, 6 > H=boost::none) const override
	Given the estimate of the bias, return a NavState tangent vector summarizing the preintegrated IMU measurements so far NOTE(frank): implementation is different in two versions.

void	mergeWith (const TangentPreintegration &pim, Matrix9 H1, Matrix9 H2)
	Merge in a different set of measurements and update bias derivatives accordingly The derivatives apply to the preintegrated Vector9.

static Vector9	UpdatePreintegrated (const Vector3 &a_body, const Vector3 &w_body, const double dt, const Vector9 &preintegrated, OptionalJacobian< 9, 9 > A=boost::none, OptionalJacobian< 9, 3 > B=boost::none, OptionalJacobian< 9, 3 > C=boost::none)

static Vector9	Compose (const Vector9 &zeta01, const Vector9 &zeta12, double deltaT12, OptionalJacobian< 9, 9 > H1=boost::none, OptionalJacobian< 9, 9 > H2=boost::none)

Public Member Functions
virtual boost::shared_ptr< TangentPreintegration >	clone () const
	Dummy clone for MATLAB.

Constructors/destructors
	TangentPreintegration (const boost::shared_ptr< Params > &p, const imuBias::ConstantBias &biasHat=imuBias::ConstantBias())
	Constructor, initializes the variables in the base class. More...

virtual	~TangentPreintegration ()
	Virtual destructor.

Basic utilities
Re-initialize PreintegratedMeasurements
void	resetIntegration () override

Instance variables access
Vector3	deltaPij () const override

Vector3	deltaVij () const override

Rot3	deltaRij () const override

NavState	deltaXij () const override

const Vector9 &	preintegrated () const

Vector3	theta () const

const Matrix93 &	preintegrated_H_biasAcc () const

const Matrix93 &	preintegrated_H_biasOmega () const

Testable
bool	equals (const TangentPreintegration &other, double tol) const

Public Member Functions inherited from gtsam::PreintegrationBase
	PreintegrationBase (const boost::shared_ptr< Params > &p, const imuBias::ConstantBias &biasHat=imuBias::ConstantBias())
	Constructor, initializes the variables in the base class. More...

void	resetIntegrationAndSetBias (const Bias &biasHat)

bool	matchesParamsWith (const PreintegrationBase &other) const
	check parameters equality: checks whether shared pointer points to same Params object.

const boost::shared_ptr< Params > &	params () const
	shared pointer to params

const Params &	p () const
	const reference to params

const imuBias::ConstantBias &	biasHat () const

double	deltaTij () const

Vector6	biasHatVector () const

std::pair< Vector3, Vector3 >	correctMeasurementsBySensorPose (const Vector3 &unbiasedAcc, const Vector3 &unbiasedOmega, OptionalJacobian< 3, 3 > correctedAcc_H_unbiasedAcc=boost::none, OptionalJacobian< 3, 3 > correctedAcc_H_unbiasedOmega=boost::none, OptionalJacobian< 3, 3 > correctedOmega_H_unbiasedOmega=boost::none) const
	Subtract estimate and correct for sensor pose Compute the derivatives due to non-identity body_P_sensor (rotation and centrifugal acc) Ignore D_correctedOmega_measuredAcc as it is trivially zero.

virtual void	integrateMeasurement (const Vector3 &measuredAcc, const Vector3 &measuredOmega, const double dt)
	Version without derivatives.

NavState	predict (const NavState &state_i, const imuBias::ConstantBias &bias_i, OptionalJacobian< 9, 9 > H1=boost::none, OptionalJacobian< 9, 6 > H2=boost::none) const
	Predict state at time j.

Vector9	computeError (const NavState &state_i, const NavState &state_j, const imuBias::ConstantBias &bias_i, OptionalJacobian< 9, 9 > H1, OptionalJacobian< 9, 9 > H2, OptionalJacobian< 9, 6 > H3) const
	Calculate error given navStates.

Vector9	computeErrorAndJacobians (const Pose3 &pose_i, const Vector3 &vel_i, const Pose3 &pose_j, const Vector3 &vel_j, const imuBias::ConstantBias &bias_i, OptionalJacobian< 9, 6 > H1=boost::none, OptionalJacobian< 9, 3 > H2=boost::none, OptionalJacobian< 9, 6 > H3=boost::none, OptionalJacobian< 9, 3 > H4=boost::none, OptionalJacobian< 9, 6 > H5=boost::none) const
	Compute errors w.r.t. More...

virtual void	print (const std::string &s) const

Protected Member Functions
	TangentPreintegration ()
	Default constructor for serialization.

Protected Member Functions inherited from gtsam::PreintegrationBase
	PreintegrationBase ()
	Default constructor for serialization.

virtual	~PreintegrationBase ()
	Virtual destructor for serialization.

Protected Attributes
Vector9	preintegrated_
	Preintegrated navigation state, as a 9D vector on tangent space at frame i Order is: theta, position, velocity.

Matrix93	preintegrated_H_biasAcc_
	Jacobian of preintegrated_ w.r.t. acceleration bias.

Matrix93	preintegrated_H_biasOmega_
	Jacobian of preintegrated_ w.r.t. angular rate bias.

Protected Attributes inherited from gtsam::PreintegrationBase
boost::shared_ptr< Params >	p_
	Parameters. More...

Bias	biasHat_
	Acceleration and gyro bias used for preintegration.

double	deltaTij_
	Time interval from i to j.

Friends
class	boost::serialization::access
	Serialization function.

Additional Inherited Members
Public Types inherited from gtsam::PreintegrationBase
typedef imuBias::ConstantBias	Bias

typedef PreintegrationParams	Params

Constructor & Destructor Documentation

◆ TangentPreintegration()

gtsam::TangentPreintegration::TangentPreintegration	(	const boost::shared_ptr< Params > &	p,
		const imuBias::ConstantBias &	biasHat = `imuBias::ConstantBias()`
	)

Constructor, initializes the variables in the base class.

Parameters

p	Parameters, typically fixed in a single application
bias	Current estimate of acceleration and rotation rate biases

The documentation for this class was generated from the following files:

/Users/dellaert/git/gtsam/gtsam/navigation/TangentPreintegration.h
/Users/dellaert/git/gtsam/gtsam/navigation/TangentPreintegration.cpp

Detailed Description

Main functionality

Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Constructor & Destructor Documentation

◆ TangentPreintegration()