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arXiv · 2108.01291

A Non-uniform Sampling Approach for Fast and Efficient Path Planning

James P. Wilson·Zongyuan Shen·Shalabh Gupta
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Abstract

In this paper, we develop a non-uniform sampling approach for fast and efficient path planning of autonomous vehicles. The approach uses a novel non-uniform partitioning scheme that divides the area into obstacle-free convex cells. The partitioning results in large cells in obstacle-free areas and small cells in obstacle-dense areas. Subsequently, the boundaries of these cells are used for sampling; thus significantly reducing the burden of uniform sampling. When compared with a standard uniform sampler, this smart sampler significantly 1) reduces the size of the sampling space while providing completeness and optimality guarantee, 2) provides sparse sampling in obstacle-free regions and dense sampling in obstacle-rich regions to facilitate faster exploration, and 3) eliminates the need for expensive collision-checking with obstacles due to the convexity of the cells. This sampling framework is incorporated into the RRT* path planner. The results show that RRT* with the non-uniform sampler gives a significantly better convergence rate and smaller memory footprint as compared to RRT* with a uniform sampler.

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James P. Wilson, Zongyuan Shen, Shalabh Gupta. 2021-08-03. A Non-uniform Sampling Approach for Fast and Efficient Path Planning. https://arxiv.org/abs/2108.01291

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