Comparative Evaluation of Invariant and Multiplicative EKF for 3D Pose Estimation with IMU Sensors and GPS or Landmark Measurements

This thesis investigates the performance of the invariant extended Kalman filter (IEKF) compared to the multiplicative extended Kalman filter (MEKF) in the context of nonlinear state estimation on matrix Lie groups. The IEKF, a relatively recent variant of the EKF, is particularly suitable for systems with group-affine process models and...

Bathymetry SLAM using reduced rank Gaussian Processes and DVL range measurements: For real-time underwater position estimation

Underwater position estimation is challenging due to the absence of Global Navigation Satellite System (GNSS) signals. Underwater vehicles are typically equipped with a Doppler Velocity Log (DVL) that measures the velocity relative to the seafloor. Aside from the velocity, the DVL also measures the range of each of the four beams. When compared...