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    This study introduces an improved airborne lidar point cloud filtering method, PMHR, which enhances terrain detail preservation and automatically adapts thresholds for better accuracy in complex environments.

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    Area of Science:

    • Geospatial Science
    • Remote Sensing Technology
    • Computational Geometry

    Background:

    • Airborne lidar point cloud filtering is crucial for accurate terrain mapping.
    • Traditional mathematical morphology filters are efficient but struggle with terrain detail preservation.
    • Existing methods often require manual parameter tuning, limiting their applicability.

    Purpose of the Study:

    • To develop an advanced filtering algorithm for airborne lidar point clouds in complex terrains.
    • To improve upon classical progressive morphological filters by enhancing detail preservation and automating threshold selection.
    • To evaluate the proposed Progressive Morphological filter with Hierarchical Radial Basis Function Interpolation (PMHR) against established benchmarks.

    Main Methods:

    • Refinement of the classical progressive morphological filter using hierarchical radial basis function interpolation.
    • Implementation of automatic self-adaptive threshold setting for adaptive filtering.
    • Inclusion of a terrain detail preservation mechanism within the filtering process.
    • Validation using benchmark datasets from the International Society for Photogrammetry and Remote Sensing.

    Main Results:

    • The PMHR algorithm demonstrated robust performance across varied terrain features.
    • Achieved an average total error of 4.27% in filtering airborne lidar point clouds.
    • Attained an average Kappa coefficient of 84.57%, indicating high classification accuracy.
    • Successfully preserved crucial terrain details often lost in traditional methods.

    Conclusions:

    • The proposed PMHR filter offers a significant improvement over classical methods for airborne lidar point cloud filtering.
    • PMHR effectively balances filtering accuracy with the preservation of fine terrain features.
    • The automated thresholding and detail preservation make PMHR a valuable tool for complex environmental mapping.