基于三维点云技术的凸轮基圆半径检测方法研究

Research on measurement method of cam base circle radius based on three-dimensional point cloud technology

  • 摘要: 针对凸轮基圆半径的快速检测需求,对基于激光点云的基圆半径视觉测量方法进行了研究。采用激光扫描仪获取待测工件的三维点云模型,并通过圆周旋转切割方法得到凸轮点云切片;针对现有圆拟合方法抗异常值能力弱等问题,在Hyper-圆拟合法的基础上引入Tukey函数,提出Hyper-IRLS-Tukey圆拟合法以求解各个凸轮点云切片的基圆圆心;对所提方法的可行性进行了验证,建立基圆半径的计算模型,实现基圆半径的检测。实验结果表明,所提圆拟合方法相较于最小二乘圆拟合、Taubin、Hyper、Hyper-M 估计等方法稳定性更优,与三坐标测量机检测结果相比,最大绝对误差不超过4.4 μm,能够满足基于激光点云技术的基圆半径快速高效测量的实际需求。

     

    Abstract: Aiming at the need for rapid cam base circle radius detection, a laser point cloud-based visual measurement method was studied. The 3D point cloud model of the workpiece was acquired by laser scanners, and cam point cloud slices were obtained through a circular rotational cutting method. To address the poor anti-outlier capability of existing circle fitting methods, the Tukey function was incorporated into the Hyper circle fitting approach, leading to the proposal of a Hyper-IRLS-Tukey circle fitting method for determining the base circle radius center of each cam point cloud slice. The feasibility of the proposed method was verified, and a computational model for the base circle radius was established, enabling accurate radius detection. Experimental results demonstrate that the proposed circle fitting method offers superior stability compared to Least squares circle, Taubin, Hyper, Hyper-M estimation, and other methods. When compared with measurements from a coordinate measuring machine (CMM), the maximum mean absolute error does not exceed 4.4 μm, meeting the practical requirements for rapid and efficient base circle radius measurement based on laser point cloud technology, thereby providing technical support for applications such as cam lift evaluation.

     

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