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    We introduce L-SLAM, a linear simultaneous localization and mapping (SLAM) method that simplifies camera rotation estimation in structured environments. This approach achieves comparable performance to state-of-the-art methods without complex nonlinear optimization.

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    Area of Science:

    • Robotics
    • Computer Vision
    • Artificial Intelligence

    Background:

    • Simultaneous Localization and Mapping (SLAM) is crucial for mobile robots and augmented reality.
    • Existing SLAM methods often rely on complex nonlinear optimization, limiting efficiency.
    • Structured environments offer unique regularities that can be exploited for improved SLAM.

    Purpose of the Study:

    • To develop a linear RGB-D SLAM formulation for structured environments.
    • To reduce the computational complexity of SLAM by exploiting environmental structures.
    • To enable robust camera tracking and mapping using planar features.

    Main Methods:

    • Utilizing planar features and structural regularities (Manhattan and Atlanta worlds) to decouple camera rotation.
    • Employing a linear Kalman filter for joint estimation of camera translation and planar landmarks.
    • Introducing a novel tracking-by-detection scheme for inferring scene structure using Atlanta representation.

    Main Results:

    • L-SLAM achieves comparable performance to state-of-the-art SLAM methods on synthetic and real-world datasets.
    • The method demonstrates robustness in both Manhattan and Atlanta world scenarios.
    • Accurate results were observed in augmented reality applications.

    Conclusions:

    • L-SLAM offers an efficient and effective linear approach to RGB-D SLAM in structured environments.
    • Exploiting scene structure significantly simplifies the SLAM problem.
    • The proposed method shows promise for real-time applications like augmented reality.