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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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Updated: Jan 7, 2026

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HV-LIOM: Adaptive Hash-Voxel LiDAR-Inertial SLAM with Multi-Resolution Relocalization and Reinforcement Learning for

Shicheng Fan1, Xiaopeng Chen1, Weimin Zhang1,2

  • 1School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China.

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|December 31, 2025
PubMed
Summary
This summary is machine-generated.

HV-LIOM offers adaptive hash-voxel mapping for efficient real-time 3D mapping and autonomous exploration in challenging environments. This LiDAR-inertial SLAM framework enhances pose accuracy and exploration efficiency using advanced relocalization and learning-based modules.

Keywords:
Hybrid Voxel MappingLiDAR-based SLAMactive explorationautonomous explorationreinforcement learning

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Area of Science:

  • Robotics
  • Computer Vision
  • Artificial Intelligence

Background:

  • Real-time 3D mapping in dynamic, GNSS-denied environments is crucial for autonomous systems.
  • Existing LiDAR-inertial SLAM methods face challenges with memory efficiency, robustness to initialization errors, and efficient exploration.

Purpose of the Study:

  • To present HV-LIOM, a unified framework for LiDAR-inertial SLAM and autonomous exploration.
  • To improve memory efficiency, real-time state estimation, and localization robustness.
  • To enhance autonomous exploration efficiency in unknown environments.

Main Methods:

  • Adaptive hash-voxel mapping scheme for optimized memory usage and geometric complexity.
  • Multi-resolution relocalization strategy for robust localization under large initial pose errors.
  • Learning-based loop-closure and global pose-graph optimization for map consistency.
  • Soft Actor-Critic (SAC) policy for online selection of informative navigation targets.

Main Results:

  • HV-LIOM demonstrates improved absolute pose accuracy: up to 15.2% over FAST-LIO2 indoors and 7.6% outdoors.
  • The learned exploration policy achieves comparable or superior area coverage with reduced travel distance and time.
  • The framework shows enhanced performance on public datasets (Hilti, NCLT) and a custom mobile robot.

Conclusions:

  • HV-LIOM provides an efficient and robust solution for real-time 3D mapping and autonomous exploration.
  • The adaptive mapping and learning-based components significantly improve performance in challenging scenarios.
  • The framework advances the capabilities of autonomous systems in GNSS-denied environments.