Computing Shortest Paths in the Plane with Removable Obstacles
Pages: 15
Published: Jan 1, 2018
Abstract
We consider the problem of computing a Euclidean shortest path in the presence of removable obstacles in the plane. In particular, we have a collection of pairwise-disjoint polygonal obstacles, each of which may be removed at some cost c_i > 0. Given a cost budget C > 0, and a pair of points s, t, which obstacles should be removed to minimize the path length from s to t in the remaining workspace? We show that this problem is NP-hard even if the...
Paper Details
Title
Computing Shortest Paths in the Plane with Removable Obstacles
Published Date
Jan 1, 2018
Pages
15
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