arXiv:2604.03747cs.RO2026-04

用李群优化控制点增量,提升快速移动时的定位精度与效率

CT-VoxelMap: Efficient Continuous-Time LiDAR-Inertial Odometry with Probabilistic Adaptive Voxel Mapping

  • 在李群上优化控制点增量,简化雅可比推导
  • 在线估计拟合误差,融合惯性预积分提升鲁棒性
  • 动态体素管理+重估计策略,兼顾精度与实时性

在高速运动或复杂地形下,机器人基于机载资源的定位稳定性与准确性仍具挑战。现有基于连续时间表示的多传感器融合方法中,基于B样条的方法虽高效直观,但传统做法将控制点作为待估变量或在四元数空间中估计,导致解析雅可比推导复杂,并常忽略样条与真实轨迹间的拟合误差。本文提出将控制点增量在矩阵李群上建模为待估变量,利用B样条的累积形式,推导出更紧凑的表达式,获得更简洁的解析雅可比,且无需额外边界条件。进一步,利用IMU前向传播信息在线估计拟合误差,提出混合特征体素地图管理策略,增强系统精度与鲁棒性。最后设计重估计策略,显著提升计算效率与稳定性。在多个公开挑战数据集上验证,性能优于多数序列。通过详尽消融实验分析各模块对位姿估计的影响。

原文摘要 · Abstract (English)

Maintaining stable and accurate localization during fast motion or on rough terrain remains highly challenging for mobile robots with onboard resources. Currently, multi-sensor fusion methods based on continuous-time representation offer a potential and effective solution to this challenge. Among these, spline-based methods provide an efficient and intuitive approach for continuous-time representation. Previous continuous-time odometry works based on B-splines either treat control points as variables to be estimated or perform estimation in quaternion space, which introduces complexity in deriving analytical Jacobians and often overlooks the fitting error between the spline and the true trajectory over time. To address these issues, we first propose representing the increments of control points on matrix Lie groups as variables to be estimated. Leveraging the feature of the cumulative form of B-splines, we derive a more compact formulation that yields simpler analytical Jacobians without requiring additional boundary condition considerations. Second, we utilize forward propagation information from IMU measurements to estimate fitting errors online and further introduce a hybrid feature-based voxel map management strategy, enhancing system accuracy and robustness. Finally, we propose a re-estimation policy that significantly improves system computational efficiency and robustness. The proposed method is evaluated on multiple challenging public datasets, demonstrating superior performance on most sequences. Detailed ablation studies are conducted to analyze the impact of each module on the overall pose estimation system.

LiDAR-IMU连续时间李群优化体素地图

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