用并行计算省去最近邻搜索,让机器人路径规划更快更优。
Nearest-Neighbourless Asymptotically Optimal Motion Planning with Fully Connected Informed Trees (FCIT*)
- 用SIMD并行加速边评估,构建全连接图替代最近邻结构
- 在MotionBenchMaker上比现有最优算法更快找到初始解
- 适合对实时性要求高、需渐进优化的复杂机械臂规划
提高高自由度机器人运动规划性能通常依赖于降低计算开销大的操作成本。传统上,尤其是渐近最优的基于采样的规划算法中,最耗时的操作是局部运动验证和查询配置的最近邻。近年来,通过单指令多数据(SIMD)并行化显著降低了运动验证成本,提升了满足性规划问题的求解速度。但这些进展尚未应用于渐近最优的运动规划。本文提出完全连接的知情树(FCIT*),首个完全连接、知情、任意时间几乎必然渐近最优(ASAO)的算法。FCIT* 利用 SIMD 并行化带来的边评估成本急剧下降,构建并搜索全连接图,无需依赖最近邻结构——这是许多基于采样的规划算法的主要开销。这使得其在 MotionBenchMaker 数据集上,比现有最先进的 ASAO(VAMP、OMPL)和满足性(OMPL)算法更快找到初始解,并以任意时间方式收敛至最优路径。
原文摘要 · Abstract (English)
Improving the performance of motion planning algorithms for high-degree-of-freedom robots usually requires reducing the cost or frequency of computationally expensive operations. Traditionally, and especially for asymptotically optimal sampling-based motion planners, the most expensive operations are local motion validation and querying the nearest neighbours of a configuration. Recent advances have significantly reduced the cost of motion validation by using single instruction/multiple data (SIMD) parallelism to improve solution times for satisficing motion planning problems. These advances have not yet been applied to asymptotically optimal motion planning. This paper presents Fully Connected Informed Trees (FCIT*), the first fully connected, informed, anytime almost-surely asymptotically optimal (ASAO) algorithm. FCIT* exploits the radically reduced cost of edge evaluation via SIMD parallelism to build and search fully connected graphs. This removes the need for nearest-neighbours structures, which are a dominant cost for many sampling-based motion planners, and allows it to find initial solutions faster than state-of-the-art ASAO (VAMP, OMPL) and satisficing (OMPL) algorithms on the MotionBenchMaker dataset while converging towards optimal plans in an anytime manner.
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