Robust Localization Approach Using Hybrid Correspondence NDT and Real-Time Uncertainty Estimation

Koki Aoki, Yuta Takahashi, Tomoya Sato, Yoshiki Ninomiya, Junichi Meguro
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Abstract

This study proposes an approach for robust localization with low computational cost in autonomous vehicles. We introduce EKF localization that combines NDT and DR. To estimate the uncertainty due to the real environment of NDT, we utilize multiple searches from many initial positions. Because multiple searches increase processing time, we limit the arrangement of initial positions based on the Hessian matrix of the NDT score function. The initial position arrangement according to the Hessian matrix is based on the direction in which error is likely to occur. This allows us to achieve real-time uncertainty estimation within a LiDAR period of 10Hz. Moreover, we propose hybrid correspondence NDT (HC-NDT) to reduce the computational cost of each search. HC-NDT reduces unnecessary correspondences between query points and ND voxel in neighbor search. In the convergence evaluation, HC-NDT reduced the processing time and maintained the accuracy compared to NDT with multiple correspondences. In the localization evaluation, our EKF localization with HC-NDT and our real-time uncertainty estimation suppressed errors within 0.3 m in challenging environments for NDT. The execution time of our uncertainty estimation with HC-NDT was reduced by up to 50 % compared to conventional NDT.
使用混合对应无损检测和实时不确定性估计的稳健定位方法
本研究提出了一种在自动驾驶汽车中以低计算成本实现稳健定位的方法。我们引入了结合无损检测和 DR 的 EKF 定位。为了估计无损检测真实环境造成的不确定性,我们利用了从多个初始位置进行多次搜索的方法。由于多次搜索会增加处理时间,因此我们根据无损检测得分函数的 Hessian 矩阵来限制初始位置的排列。根据 Hessian 矩阵安排的初始位置是基于可能出现误差的方向。这样,我们就能在 10Hz 的激光雷达周期内实现实时不确定性估计。此外,我们还提出了混合对应无损检测(HC-NDT),以降低每次搜索的计算成本。HC-NDT 在邻居搜索中减少了查询点与 ND 象素之间不必要的对应关系。在收敛性评估中,HC-NDT 与具有多个对应关系的 NDT 相比,减少了处理时间并保持了精度。在定位评估中,采用 HC-NDT 的 EKF 定位和实时不确定性估计在 NDT 的挑战性环境中将误差抑制在 0.3 米以内。与传统的无损检测相比,使用 HC-NDT 进行不确定性估计的执行时间最多缩短了 50%。
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