Use PreintegratedRotation::integrateMeasurement

release/4.3a0
dellaert 2015-07-29 16:15:48 -07:00
parent aebe8161dd
commit d0467c53dd
4 changed files with 28 additions and 68 deletions

View File

@ -50,31 +50,9 @@ void PreintegratedAhrsMeasurements::resetIntegration() {
void PreintegratedAhrsMeasurements::integrateMeasurement(
const Vector3& measuredOmega, double deltaT) {
// First we compensate the measurements for the bias
Vector3 correctedOmega = measuredOmega - biasHat_;
// Then compensate for sensor-body displacement: we express the quantities
// (originally in the IMU frame) into the body frame
if (p().body_P_sensor) {
Matrix3 body_R_sensor = p().body_P_sensor->rotation().matrix();
// rotation rate vector in the body frame
correctedOmega = body_R_sensor * correctedOmega;
}
// rotation vector describing rotation increment computed from the
// current rotation rate measurement
const Vector3 theta_incr = correctedOmega * deltaT;
Matrix3 D_incrR_integratedOmega;
const Rot3 incrR = Rot3::Expmap(theta_incr, D_incrR_integratedOmega); // expensive !!
// Update Jacobian
const Matrix3 incrRt = incrR.transpose();
delRdelBiasOmega_ = incrRt * delRdelBiasOmega_ - D_incrR_integratedOmega * deltaT;
// Update rotation and deltaTij.
Matrix3 Fr; // Jacobian of the update
deltaRij_ = deltaRij_.compose(incrR, Fr);
deltaTij_ += deltaT;
Matrix3 D_incrR_integratedOmega, Fr;
PreintegratedRotation::integrateMeasurement(measuredOmega,
biasHat_, deltaT, &D_incrR_integratedOmega, &Fr);
// first order uncertainty propagation
// the deltaT allows to pass from continuous time noise to discrete time noise

View File

@ -48,6 +48,7 @@ void PreintegratedImuMeasurements::resetIntegration() {
preintMeasCov_.setZero();
}
//------------------------------------------------------------------------------
// sugar for derivative blocks
#define D_R_R(H) (H)->block<3,3>(0,0)
#define D_R_t(H) (H)->block<3,3>(0,3)

View File

@ -63,27 +63,40 @@ void PreintegrationBase::updatePreintegratedMeasurements(
const Vector3& measuredAcc, const Vector3& measuredOmega,
const double deltaT, Matrix3* D_incrR_integratedOmega, Matrix9* F) {
Matrix3 D_Rij_incrR;
// NOTE: order is important here because each update uses old values, e.g., velocity and position updates are based on previous rotation estimate.
// (i.e., we have to update jacobians and covariances before updating preintegrated measurements).
Vector3 correctedAcc, correctedOmega;
boost::tie(correctedAcc, correctedOmega) =
correctMeasurementsByBiasAndSensorPose(measuredAcc, measuredOmega);
// Correct for bias in the sensor frame
Vector3 correctedAcc = biasHat_.correctAccelerometer(measuredAcc);
// rotation vector describing rotation increment computed from the current rotation rate measurement
const Vector3 integratedOmega = correctedOmega * deltaT;
const Rot3 incrR = Rot3::Expmap(integratedOmega, D_incrR_integratedOmega); // rotation increment computed from the current rotation rate measurement
// Compensate for sensor-body displacement if needed: we express the quantities
// (originally in the IMU frame) into the body frame
// Equations below assume the "body" frame is the CG
if (p().body_P_sensor) {
// Correct omega: slight duplication as this is also done in integrateMeasurement below
Matrix3 bRs = p().body_P_sensor->rotation().matrix();
Vector3 s_correctedOmega = biasHat_.correctGyroscope(measuredOmega);
Vector3 b_correctedOmega = bRs * s_correctedOmega; // rotation rate vector in the body frame
// Correct acceleration
Vector3 b_arm = p().body_P_sensor->translation().vector();
Vector3 b_velocity_bs = b_correctedOmega.cross(b_arm); // magnitude: omega * arm
// Subtract out the the centripetal acceleration from the measured one
// to get linear acceleration vector in the body frame:
correctedAcc = bRs * correctedAcc - b_correctedOmega.cross(b_velocity_bs);
}
// Calculate acceleration in *current* i frame, i.e., before rotation update below
Matrix3 D_acc_R;
const Matrix3 dRij = deltaRij_.matrix(); // expensive
const Vector3 i_acc = deltaRij_.rotate(correctedAcc, F ? &D_acc_R : 0);
const Matrix3 temp = -dRij * skewSymmetric(correctedAcc) * delRdelBiasOmega_;
Matrix3 D_Rij_incrR;
PreintegratedRotation::integrateMeasurement(measuredOmega,
biasHat_.gyroscope(), deltaT, D_incrR_integratedOmega, &D_Rij_incrR);
double dt22 = 0.5 * deltaT * deltaT;
deltaTij_ += deltaT;
deltaRij_ = deltaRij_.compose(incrR, F ? &D_Rij_incrR : 0);
deltaPij_ += dt22 * i_acc + deltaT * deltaVij_;
deltaVij_ += deltaT * i_acc;
@ -92,38 +105,10 @@ void PreintegrationBase::updatePreintegratedMeasurements(
dt22 * D_acc_R, I_3x3, I_3x3 * deltaT, // pos
deltaT * D_acc_R, Z_3x3, I_3x3; // vel
const Matrix3 temp = -dRij * skewSymmetric(correctedAcc) * delRdelBiasOmega_;
delPdelBiasAcc_ += delVdelBiasAcc_ * deltaT - dt22 * dRij;
delPdelBiasOmega_ += deltaT * delVdelBiasOmega_ + dt22 * temp;
delVdelBiasAcc_ += -dRij * deltaT;
delVdelBiasOmega_ += temp * deltaT;
const Matrix3 incrRt = incrR.transpose();
delRdelBiasOmega_ = incrRt * delRdelBiasOmega_
- *D_incrR_integratedOmega * deltaT;
}
std::pair<Vector3, Vector3> PreintegrationBase::correctMeasurementsByBiasAndSensorPose(
const Vector3& measuredAcc, const Vector3& measuredOmega) const {
// Correct for bias in the sensor frame
Vector3 s_correctedAcc, s_correctedOmega;
s_correctedAcc = biasHat_.correctAccelerometer(measuredAcc);
s_correctedOmega = biasHat_.correctGyroscope(measuredOmega);
// Compensate for sensor-body displacement if needed: we express the quantities
// (originally in the IMU frame) into the body frame
// Equations below assume the "body" frame is the CG
if (p().body_P_sensor) {
Matrix3 bRs = p().body_P_sensor->rotation().matrix();
Vector3 b_arm = p().body_P_sensor->translation().vector();
Vector3 b_correctedOmega = bRs * s_correctedOmega; // rotation rate vector in the body frame
Vector3 b_velocity_bs = b_correctedOmega.cross(b_arm); // magnitude: omega * arm
// Subtract out the the centripetal acceleration from the measured one
// to get linear acceleration vector in the body frame:
Vector3 b_correctedAcc = bRs * s_correctedAcc
- b_correctedOmega.cross(b_velocity_bs);
return std::make_pair(b_correctedAcc, b_correctedOmega);
} else
return std::make_pair(s_correctedAcc, s_correctedOmega);
}
//------------------------------------------------------------------------------

View File

@ -174,11 +174,7 @@ public:
const Vector3& measuredOmega, const double deltaT,
Matrix3* D_incrR_integratedOmega, Matrix9* F);
std::pair<Vector3, Vector3>
correctMeasurementsByBiasAndSensorPose(const Vector3& measuredAcc,
const Vector3& measuredOmega) const;
/// Given the estimate of the bias, return a NavState tangent vector
/// Given the estimate of the bias, return a NavState tangent vector
/// summarizing the preintegrated IMU measurements so far
Vector9 biasCorrectedDelta(const imuBias::ConstantBias& bias_i,
OptionalJacobian<9, 6> H = boost::none) const;