Rapid Vector-based Any-angle Path Planning with Non-convex Obstacles
<|reference_start|>Rapid Vector-based Any-angle Path Planning with Non-convex Obstacles: Vector-based algorithms are novel algorithms in optimal any-angle path planning that are motivated by bug algorithms, bypassing free space by directly conducting line-of-sight checks between two queried points, and searching along obstacle contours if a check collides with an obstacle. The algorithms outperform conventional free-space planners such as A* especially when the queried points are far apart. The thesis presents novel search methods to speed up vector-based algorithms in non-convex obstacles by delaying line-of-sight checks. The "best hull" is a notable method that allows for monotonically increasing path cost estimates even without verifying line-of-sight, utilizing "phantom points" placed on non-convex corners to mimic future turning points. Building upon the methods, the algorithms R2 and R2+ are formulated, which outperform other vector-based algorithms when the optimal path solution is expected to have few turning points. Other novel methods include a novel and versatile multi-dimensional ray tracer for occupancy grids, and a description of the three-dimensional angular sector for future works.<|reference_end|>
@article{lai2024rapid,
    title={Rapid Vector-based Any-angle Path Planning with Non-convex Obstacles},
    author={Yan Kai Lai},
    journal={arXiv preprint arXiv:2408.05806},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.05806},
    primaryClass={cs.RO cs.CG}
}