基于点云分割的输送带散料堆积角与粒径分布测量方法

Measurement method for angle of repose and particle size distribution of bulk materials on belt conveyor based on point cloud segmentation

  • 摘要: 输送带散料堆积角(在实际输送工况下为动堆积角)与粒径分布是反映带式输送机运输物料状态的重要参数。针对输送带复杂槽形与垂曲形变导致三维点云分割困难、颗粒遮挡粘连影响测量精度等问题,提出了一种基于自适应曲面拟合点云分割的输送带散料堆积角与粒径分布测量方法。为实现散料高保真分割,构建双三次多项式曲面模型,通过加权最小二乘法自适应拟合输送带真实形变曲面,精准提取纯净散料点云。针对散料堆积角测量问题,通过点云等距切片与霍夫变换相结合的方式提取轮廓直线特征,有效消除局部大颗粒凸起干扰,实现局部堆积角的精确测量。针对散料粒径分布测量问题,构建模拟堆积形态的三维深度场,结合三维分水岭算法完成散料颗粒精准分割,求取散料中值粒径并实现粒径分布统计。实验结果表明,所提自适应曲面拟合算法对点云分割结果的交并比达95.84%;局部堆积角测量的绝对误差控制在±1.35°以内,平均绝对误差仅为0.66°;粒径分布测量有效减小了散料堆叠遮挡带来的统计偏差,修正后的中值粒径准确落入标准机械筛分法的基准区间。结果验证了所提方法可显著提升复杂工况下散料状态参数的测量精度与鲁棒性。

     

    Abstract: The angle of repose (the dynamic angle of repose under actual conveying conditions) and particle size distribution of bulk materials on the conveyor belt are important parameters for characterizing the state of materials transported by belt conveyors. To address difficulties in three-dimensional point cloud segmentation caused by complex troughing and sagging deformation of the conveyor belt, as well as measurement inaccuracies caused by particle occlusion and adhesion, a method for measuring the angle of repose and particle size distribution of bulk materials on the conveyor belt based on point cloud segmentation with adaptive surface fitting was proposed. To achieve high-fidelity segmentation of bulk materials, a bicubic polynomial surface model was constructed, and weighted least squares were used to adaptively fit the actual deformed belt surface and accurately extract clean bulk material point clouds. For angle of repose measurement, equally spaced point cloud slicing was combined with the Hough transform to extract linear contour features, effectively eliminating interference from local protrusions of large particles and enabling accurate measurement of local angles of repose. For particle size distribution measurement, a three-dimensional depth field representing the bulk material pile morphology was constructed and combined with a three-dimensional watershed algorithm to accurately segment individual particles, determine the median particle size, and obtain particle size distribution statistics. Experimental results showed that the proposed adaptive surface fitting algorithm achieved an intersection over union of 95.84% for point cloud segmentation. The absolute errors in local angle of repose measurements were within 1.35°, with a mean absolute error of only 0.66°. Particle size distribution measurement effectively reduced statistical bias caused by occlusion in stacked bulk materials, and the corrected median particle size fell within the reference interval obtained by standard mechanical sieving. These results demonstrate that the proposed method can significantly improve the accuracy and robustness of bulk material state parameter measurements under complex operating conditions.

     

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