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経路計画arXiv:2410.11024

GSRM: 反応拡散系を用いたクエリ効率が高く準最適な経路計画のためのロードマップ構築

GSRM: Building Roadmaps for Query-Efficient and Near-Optimal Path Planning Using a Reaction Diffusion System

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Gray-Scott反応拡散系とドロネー三角形分割に基づいてロードマップを構築するGSRMを提案し、狭い通路でも頂点と辺が均等に分布し、クエリ効率が高く短い経路を生成できることを示した。

著者: Christian Henkel, Marc Toussaint, Wolfgang Hönig

分類: cs.RO

原文アブストラクト

Mobile robots frequently navigate on roadmaps, i.e., graphs where edges represent safe motions, in applications such as healthcare, hospitality, and warehouse automation. Often the environment is quasi-static, i.e., it is sufficient to construct a roadmap once and then use it for any future planning queries. Roadmaps are typically used with graph search algorithm to find feasible paths for the robots. Therefore, the roadmap should be well-connected, and graph searches should produce near-optimal solutions with short solution paths while simultaneously be computationally efficient to execute queries quickly. We propose a new method to construct roadmaps based on the Gray-Scott reaction diffusion system and Delaunay triangulation. Our approach, GSRM, produces roadmaps with evenly distributed vertices and edges that are well-connected even in environments with challenging narrow passages. Empirically, we compare to classical roadmaps generated by 8-connected grids, probabilistic roadmaps (PRM, SPARS2), and optimized roadmap graphs (ORM). Our results show that GSRM consistently produces superior roadmaps that are well-connected, have high query efficiency, and result in short solution paths.

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