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| 1 | +/* ---------------------------------------------------------------------------- |
| 2 | +
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| 3 | + * GTSAM Copyright 2010, Georgia Tech Research Corporation, |
| 4 | + * Atlanta, Georgia 30332-0415 |
| 5 | + * All Rights Reserved |
| 6 | + * Authors: Frank Dellaert, et al. (see THANKS for the full author list) |
| 7 | +
|
| 8 | + * See LICENSE for the license information |
| 9 | +
|
| 10 | + * -------------------------------------------------------------------------- */ |
| 11 | + |
| 12 | +/** |
| 13 | + * @file GalileanImuFactor.h |
| 14 | + * @brief Equivariant IMU Preintegration with Biases: a Galilean Group |
| 15 | + * Approach |
| 16 | + * |
| 17 | + * This class implements a new approach for Inertial Measurement Unit (IMU) |
| 18 | + * preintegration based on the Galilean group, as described in: |
| 19 | + * |
| 20 | + * Giulio Delama, Alessandro Fornasier, Robert Mahony, Stephan Weiss, |
| 21 | + * "Equivariant IMU Preintegration with Biases: a Galilean Group Approach," |
| 22 | + * IEEE Robotics and Automation Letters, 2024. |
| 23 | + * |
| 24 | + * Inspired by recent advances in equivariant theory applied to biased inertial |
| 25 | + * navigation systems (INS), this approach derives a discrete-time formulation |
| 26 | + * of IMU preintegration on the Galilean group, geometrically coupling |
| 27 | + * navigation states and biases for improved consistency and lower linearization |
| 28 | + * error compared to traditional methods. |
| 29 | + */ |
| 30 | + |
| 31 | +#pragma once |
| 32 | + |
| 33 | +#include <gtsam/base/Matrix.h> |
| 34 | +#include <gtsam/basis/Chebyshev2.h> |
| 35 | +#include <gtsam/navigation/ImuBias.h> |
| 36 | +#include <gtsam/navigation/ImuFactor.h> |
| 37 | +#include <gtsam/navigation/NavState.h> |
| 38 | +#include <gtsam/navigation/PreintegrationBase.h> |
| 39 | +#include <gtsam/navigation/PreintegrationParams.h> |
| 40 | + |
| 41 | +#include <optional> |
| 42 | +#include <vector> |
| 43 | + |
| 44 | +namespace gtsam { |
| 45 | + |
| 46 | +/// IMU preintegration based on the Galilean group (see class docs above). |
| 47 | +class GTSAM_EXPORT PreintegratedImuMeasurementsG : public PreintegrationBase { |
| 48 | + using Base = PreintegrationBase; |
| 49 | + using Params = PreintegrationBase::Params; |
| 50 | + |
| 51 | + std::shared_ptr<Params> p_; |
| 52 | + |
| 53 | + public: |
| 54 | + // Constructors (stubs) |
| 55 | + explicit PreintegratedImuMeasurementsG( |
| 56 | + const std::shared_ptr<Params>& p = std::make_shared<Params>(), |
| 57 | + const imuBias::ConstantBias& biasHat = {}); |
| 58 | + |
| 59 | + // Public (const) accessors – stubs |
| 60 | + double deltaTij() const { |
| 61 | + throw std::runtime_error("Not implemented: deltaTij"); |
| 62 | + } |
| 63 | + Rot3 deltaRij() const override { |
| 64 | + throw std::runtime_error("Not implemented: deltaRij"); |
| 65 | + } |
| 66 | + Vector3 deltaPij() const override { |
| 67 | + throw std::runtime_error("Not implemented: deltaPij"); |
| 68 | + } |
| 69 | + Vector3 deltaVij() const override { |
| 70 | + throw std::runtime_error("Not implemented: deltaVij"); |
| 71 | + } |
| 72 | + NavState deltaXij() const override { |
| 73 | + throw std::runtime_error("Not implemented: deltaXij"); |
| 74 | + } |
| 75 | + Matrix9 preintMeasCov() const { |
| 76 | + throw std::runtime_error("Not implemented: preintMeasCov"); |
| 77 | + } |
| 78 | + |
| 79 | + // Bias correction (first‑order) – stub |
| 80 | + Vector9 biasCorrectedDelta(const imuBias::ConstantBias& bias_i, |
| 81 | + OptionalJacobian<9, 6> H = {}) const override { |
| 82 | + throw std::runtime_error("Not implemented: biasCorrectedDelta"); |
| 83 | + } |
| 84 | + |
| 85 | + // integration API |
| 86 | + void integrateMeasurement(const Vector3& measuredAcc, |
| 87 | + const Vector3& measuredOmega, double dt) override; |
| 88 | + |
| 89 | + void resetIntegration() override; |
| 90 | + |
| 91 | + // Testable – stubs |
| 92 | + void print( |
| 93 | + const std::string& s = "PreintegratedImuMeasurementsG") const override; |
| 94 | + bool equals(const PreintegratedImuMeasurementsG& other, |
| 95 | + double tol = 1e-9) const; |
| 96 | + |
| 97 | + void update(const Vector3& measuredAcc, const Vector3& measuredOmega, |
| 98 | + const double dt, Matrix9* A, Matrix93* B, Matrix93* C) override { |
| 99 | + throw std::runtime_error("Not implemented: update"); |
| 100 | + } |
| 101 | +}; |
| 102 | + |
| 103 | +// Tell GTSAM about PreintegratedImuMeasurementsG print/equals: |
| 104 | +template <> |
| 105 | +struct traits<PreintegratedImuMeasurementsG> |
| 106 | + : public Testable<PreintegratedImuMeasurementsG> {}; |
| 107 | + |
| 108 | +using GalileanImuFactor = ImuFactorT<PreintegratedImuMeasurementsG>; |
| 109 | + |
| 110 | +} // namespace gtsam |
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