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arXiv 2602.21174cs.ROcs.AI
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高效多分辨率3D网格上的分层任意角度路径规划

Efficient Hierarchical Any-Angle Path Planning on Multi-Resolution 3D Grids

Victor Reijgwart, Cesar Cadena, Roland Siegwart, Lionel Ott

AI总结:

本文提出了一种基于多分辨率表示的高效任意角度路径规划方法,兼顾最优性和完备性,克服了传统搜索方法的计算瓶颈,实验表明其在真实和合成环境中的优越性能。

摘要:

分层、多分辨率体素映射方法被广泛用于表示大型复杂环境,因为它们可以高效地捕捉其占用和连通性信息。然而,广泛使用的路径规划方法如采样和轨迹优化并未利用这种显式的连通性信息,而基于搜索的方法如A*在大规模高分辨率地图中存在可扩展性问题。在许多应用中,欧几里得最短路径是导航系统的基础。对于此类应用,通过连接障碍物的角落并用直线段连接的任意角度规划方法提供了一种简单高效的解决方案。在本文中,我们提出了一种具有任意角度规划器的最优性和完备性性质的方法,同时通过利用多分辨率表示克服了基于搜索方法常见的计算可行性问题。在真实和合成环境中进行的广泛实验证明了所提出方法的解决方案质量和速度,甚至优于基于采样的方法。该框架已开源,以允许机器人和规划社区在此基础上进行研究。

英文摘要:

Hierarchical, multi-resolution volumetric mapping approaches are widely used to represent large and complex environments as they can efficiently capture their occupancy and connectivity information. Yet widely used path planning methods such as sampling and trajectory optimization do not exploit this explicit connectivity information, and search-based methods such as A* suffer from scalability issues in large-scale high-resolution maps. In many applications, Euclidean shortest paths form the underpinning of the navigation system. For such applications, any-angle planning methods, which find optimal paths by connecting corners of obstacles with straight-line segments, provide a simple and efficient solution. In this paper, we present a method that has the optimality and completeness properties of any-angle planners while overcoming computational tractability issues common to search-based methods by exploiting multi-resolution representations. Extensive experiments on real and synthetic environments demonstrate the proposed approach's solution quality and speed, outperforming even sampling-based methods. The framework is open-sourced to allow the robotics and planning community to build on our research.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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