Minimum-Link Shortest Paths for Polygons amidst Rectilinear Obstacles

06/27/2021

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by   Mincheol Kim, et al.

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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.