Path-length analysis for grid-based path planning
نویسندگان
چکیده
In video games and robotics, one often discretizes a continuous 2D environment into regular grid with blocked unblocked cells then finds shortest paths for the agents on resulting graph. Shortest paths, of course, are not necessarily true in environment. this article, we therefore study how much longer path can be than corresponding all grids that tessellate environments. We 5 different vertex connectivities result from both tessellations definitions neighbors vertex. Our path-length analysis yields either tight or asymptotically worst-case bounds unified framework. results show percentage by which decreases as connectivity increases. is topical because it determines largest reduction possible any-angle path-planning algorithms (and thus their benefit), class artificial intelligence robotics has become popular.
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ژورنال
عنوان ژورنال: Artificial Intelligence
سال: 2021
ISSN: ['2633-1403']
DOI: https://doi.org/10.1016/j.artint.2021.103560