提出新型混合优化算法,显著减少全景传感器部署数量。
Omnidirectional Sensor Placement: A Large-Scale Computational Study and Novel Hybrid Accelerated-Refinement Heuristics
- 融合多种方法输出并预处理加速,生成高质量传感器布局。
- 在多个模型下均实现最少传感器数量,且比传统方法更快。
- 适合需精准覆盖的机器人巡检、搜索等实际应用。
本文研究全景传感器放置问题(OSPP),旨在连续二维环境中以最少静态传感器满足用户定义的覆盖需求。该问题源于移动机器人中的可视路径规划任务,如环境检测、目标搜寻与区域巡逻。考虑三种模型:无限可视、有限范围可视(反映物理或应用限制)以及定位不确定性可视(考虑机器人中传感器位置不确定)。首先开展大规模计算实验,对比经典凸分割与采样类启发式方法在运行效率与解质量间的权衡。其次提出一类新型混合加速-精炼(HAR)启发式方法,结合多方法输出并引入预处理技术加速精炼过程。结果表明,HAR方法显著优于传统方法,在保持最低传感器数量的同时大幅提升采样类方法的运行速度。此外,将特定HAR策略适配至定位不确定性模型,可在小到中等不确定性下实现所需覆盖。未来工作可将HAR应用于基于可视的路径规划,或探索能在不确定性下提供形式化覆盖保证的新方法。
原文摘要 · Abstract (English)
This paper studies the omnidirectional sensor-placement problem (OSPP), which involves placing static sensors in a continuous 2D environment to achieve a user-defined coverage requirement while minimizing sensor count. The problem is motivated by applications in mobile robotics, particularly for optimizing visibility-based route planning tasks such as environment inspection, target search, and region patrolling. We focus on omnidirectional visibility models, which eliminate sensor orientation constraints while remaining relevant to real-world sensing technologies like LiDAR, 360-degree cameras, and multi-sensor arrays. Three key models are considered: unlimited visibility, limited-range visibility to reflect physical or application-specific constraints, and localization-uncertainty visibility to account for sensor placement uncertainty in robotics. Our first contribution is a large-scale computational study comparing classical convex-partitioning and sampling-based heuristics for the OSPP, analyzing their trade-off between runtime efficiency and solution quality. Our second contribution is a new class of hybrid accelerated-refinement (HAR) heuristics, which combine and refine outputs from multiple sensor-placement methods while incorporating preprocessing techniques to accelerate refinement. Results demonstrate that HAR heuristics significantly outperform traditional methods, achieving the lowest sensor counts and improving the runtime of sampling-based approaches. Additionally, we adapt a specific HAR heuristic to the localization-uncertainty visibility model, showing that it achieves the required coverage for small to moderate localization uncertainty. Future work may apply HAR to visibility-based route planning tasks or explore novel sensor-placement approaches to achieve formal coverage guarantees under uncertainty.
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