优化的基于主成分分析的GICP配准算法用于点云边缘提取

W. Zhao, Dandan Zhang, Dan Li, Yao Zhang, Qiang Ling
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摘要

对于迭代最近点(ICP)算法,配准时需要初始位置和迭代次数。同时,ICP算法容易陷入局部收敛,收敛速度慢。通过构造K-D树搜索邻域点并人为设置阈值,进行平面拟合,将待部署的准时点云从复杂背景中分离出来,通过统计分析计算点云与邻域点的距离,快速剔除无效点云。设置曲面方程,计算点云法向量与各法向量的切平面,构造局部坐标系。计算相邻向量与局部坐标系之间的夹角,确定边缘轮廓的特征点集。根据特征点集的协方差矩阵,得到主特征分量,求出两组点云的主轴方向,得到旋转矩阵和位移向量。最后,根据最大似然估计方法得到的初始位姿参数和刚体变换矩阵,对点云进行GICP精确配准。结果表明,优化后的算法可以有效地避免局部收敛。与传统ICP算法相比,在达到相同配准精度的公共数据集实验中,该算法的配准速度平均提高44.82%,重叠率平均提高15.26%。在真实数据集实验中,配准速度平均提高59.04%,配准精度平均提高30.24%,重叠率平均提高10.61%。这表明该优化算法在配准精度和收敛速度上都优于传统的ICP算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimized GICP registration algorithm based on principal component analysis for point cloud edge extraction
For iterative closest point (ICP) algorithm, the initial position and the number of iterations are needed in registration. At the same time, the ICP algorithm is easy to fall into local convergence and convergence speed is slow. By constructing K-D tree to search neighborhood points and artificially set threshold, plane fitting is carried out, the on-time point cloud to be deployed is separated from the complex background, and statistical analysis is used to calculate the distance between the point cloud and the neighborhood point to quickly remove the invalid point cloud. The surface equation is set to calculate the tangent plane of point cloud normal vector and each normal vector, and the local coordinate system is constructed. The angle between adjacent vectors and the local coordinate system is calculated to determine the feature point set of edge contour. According to the covariance matrix of the feature points set, the principal feature component is obtained, the principal axis direction of the two sets of point clouds is found, and the rotation matrix and the displacement vector are obtained. Finally, GICP precise registration of point cloud is carried out according to initial pose parameters and rigid body transformation matrix obtained by maximum likelihood estimation method. The results show that the optimized algorithm can effectively avoid local convergence. Compared with the traditional ICP algorithm, when the algorithm achieves the same registration accuracy in the public dataset experiment, the registration speed is on average 44.82% faster and the overlap rate is on average 15.26% higher. In the real dataset experiment, the registration speed is on average 59.04% faster, the registration accuracy is on average 30.24% higher and the overlap rate is on average 10.61% higher. This shows that the optimization algorithm is superior to the traditional ICP algorithm in registration accuracy and convergence speed.
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