Incremental Updates of Configuration Space Representations for Non-Circular Mobile Robots with 2D, 2.5D, or 3D Obstacle Models

Boris Lau, Christoph Sprunk, Wolfram Burgard · 2011

Abstract — This paper presents techniques to incrementally update collision maps, distance maps, and Voronoi diagrams in the configuration space of non-circular mobile robots. Compared to previous work, our approach only updates the cells affected by changes in the environment. Thus, it is applicable in large workspaces and in the presence of unknown or moving obstacles. The c-space collision maps allow for performing highly efficient collision checks in dynamically changing environments, for 2D, 2.5D, and 3D representations of robots and obstacles. By using the proposed c-space distance maps, long trajectories can efficiently be checked for collisions. Finally, our c-space Voronoi diagrams allow effective and complete path planning in narrow spaces. Our algorithms are easy to implement, benefit from parallelization on multi-core CPUs, and can be integrated with state-of-the-art path planners. Experiments demonstrate the effectiveness of our methods and show their applicability to real-world scenarios. I.

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