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    +
    +

    Robust Orientation Tracking for Panoramic Stitching: Projected Gradient Descent vs. Extended Kalman Filters

    + + + + +
    +
    + Abstract
    + The quest for precise 3D orientation tracking of + rotating bodies underpins advancements in robotics, augmented + reality, and navigational systems, necessitating methodologies + that balance accuracy with computational feasibility. This paper + introduces a projected gradient descent (PGD) methodology, + innovatively applied to orientation estimation through sensor + fusion from a 6-DOF inertial measurement unit (IMU). We + undertake a comparative analysis of PGD against established + Extended Kalman Filter (EKF) methods—specifically, 4-state and + 7-state variants—anchored by ground truth data from a VICON + motion capture system. + Our investigation reveals PGD’s superior accuracy and robustness over EKF approaches across a spectrum of datasets + characterized by noise, discontinuities, and dynamic changes. + Despite PGD’s reliance on future data, which poses a challenge + for real-time application, its performance advantage is notable, + especially in complex environments. The 7-state EKF, while + outperforming PGD in scenarios with frequent discontinuities, + exhibits limitations in smoothness, highlighting a trade-off between responsiveness and continuity. The practical utility of + these orientation estimation methods is further demonstrated + through the application of panoramic image stitching, where + PGD’s enhanced performance is evident, although EKF models + provide comparable outcomes under less variable conditions. + This study underscores PGD’s potential as a robust alternative + for 3D orientation tracking, offering insights into its com- + parative performance against traditional EKFs. By delineating + the strengths and limitations of PGD and EKF methodologies, + this work contributes to the broader discourse on advancing + sensor-based orientation estimation, encouraging future efforts +to optimize PGD for real-time applications. +

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