Computing $$L_1$$ Shortest Paths Among Polygonal Obstacles in the Plane
نویسندگان
چکیده
منابع مشابه
Computing L1 Shortest Paths among Polygonal Obstacles in the Plane
Given a point s and a set of h pairwise disjoint polygonal obstacles of totally n vertices in the plane, we present a new algorithm for building an L1 shortest path map of size O(n) in O(T ) time and O(n) space such that for any query point t, the length of the L1 shortest obstacleavoiding path from s to t can be reported in O(log n) time and the actual shortest path can be found in additional ...
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Given a set of h pairwise disjoint polygonal obstacles of totally n vertices in the plane, we study the problem of computing an L1 (or rectilinear) shortest path between two points avoiding the obstacles. Previously, this problem has been solved in O(n log n) time and O(n) space, or alternatively in O(n + h log n) time and O(n + h log h) space. A lower bound of Ω(n + h log h) time and Ω(n) spac...
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متن کاملBicriteria Rectilinear Shortest Paths among Rectilinear Obstacles in the Plane
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2019
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-018-00540-x