A new algorithm for shortest paths among obstacles in the plane
نویسندگان
چکیده
منابع مشابه
A Nearly Optimal Algorithm for Finding L 1 Shortest Paths among Polygonal Obstacles in the Plane
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...
متن کاملComputing 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 ...
متن کاملBicriteria Rectilinear Shortest Paths among Rectilinear Obstacles in the Plane
Given a rectilinear domain P of h pairwise-disjoint rectilinear obstacles with a total of n vertices in the plane, we study the problem of computing bicriteria rectilinear shortest paths between two points s and t in P. Three types of bicriteria rectilinear paths are considered: minimum-link shortest paths, shortest minimum-link paths, and minimum-cost paths where the cost of a path is a non-de...
متن کاملAn Optimal Algorithm for L1 Shortest Paths Among Obstacles in the Plane (Draft)
We present an optimal Θ(n log n) algorithm for determining shortest paths according to the L1 (L∞) metric in the presence of disjoint polygonal obstacles in the plane. Our algorithm requires only linear O(n) space to build a planar subdivision (a Shortest Path Map) with respect to a fixed source point such that the length of a shortest path from the source to any query point can be reported in ...
متن کاملAn Efficient Algorithm for Euclidean Shortest Paths Among Polygonal Obstacles in the Plane
We give an algorithm to compute a (Euclidean) shortest path in a polygon with h holes and a total of n vertices. The algorithm uses O(n) space and requires O(n + h 2 log n) time.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Mathematics and Artificial Intelligence
سال: 1991
ISSN: 1012-2443,1573-7470
DOI: 10.1007/bf01530888