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spline_based_init_vi.md

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Spline-Based Initialization of Monocular Visual–Inertial State Estimators at High Altitude

Author: Liu

Year: 2017

Notes:

  • poor init conditions with poor parallax or excessive integration period of IMU
  • Ensures enough excitation of IMU to recover metric scale
  • Vision and IMU have different criterias for proper init:
    • vision needs high parallax, not too dynamic motion
    • IMU needs agile motions (not constant velocity)
  • Pb especially present at high altitude as high parallax needs long and constant velocity travel
  • A B-spline is fitted on a up-to-scale VO trajectory to exctract derivatives of the trajectory, then the acceleration is aligned with the spline second derivative
  • The method is also tested to bootstrap EKF and MSCKF
  • Rotational components is substracted from images using EIS (electronic image stabilisation)
  • states to be init: scale, gravity aligned attitude and velocity
  • 6 order B spline to fit the traj
  • write a joint problem formulation of both B-spline fitting and states alignement
  • gyro bias are estimated in a stationnary position, they do not appear in the formulation
  • Observability analysis of $b_a$ :
    • See the evolution of residual with perturbations on $\delta b_a$
    • Only with enough rotation bias and gravity can be destinguished
    • The bias are not incorporated in init