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arXiv · 2106.14185

Minimum-Link Shortest Paths for Polygons amidst Rectilinear Obstacles

Mincheol Kim·Hee-Kap Ahn
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Abstract

Consider two axis-aligned rectilinear simple polygons in the domain consisting of axis-aligned rectilinear obstacles in the plane such that the bounding boxes, one for each obstacle and one for each polygon, are disjoint. We present an algorithm that computes a minimum-link rectilinear shortest path connecting the two polygons in $O((N+n)\log (N+n))$ time using $O(N+n)$ space, where $n$ is the number of vertices in the domain and $N$ is the total number of vertices of the two polygons.

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Mincheol Kim, Hee-Kap Ahn. 2021-06-27. Minimum-Link Shortest Paths for Polygons amidst Rectilinear Obstacles. https://arxiv.org/abs/2106.14185

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