Each point is represented as a d-tuple of integers in the range {0,..., U - 1} (or of arbitrary real numbers). Find a closest pair, i.e., a pair of points whose distance is minimal over all such pairs. In 1976, Rabin described a randomized algorithm for the closest-pair ...
Closest Pair Algorithm 来自 ResearchGate 喜欢 0 阅读量: 49 作者:A Sharma,R Subramanian 摘要: Given the Cartesian coordinates of n points in a plane, this paper is concerned with finding the closest pair of points in a time in O (n log n). Input A set P of n points in the plane. ...
We give a new randomized algorithm for the problem on uniformly random input outperforming previous approaches whenever the dimension of input points is small compared to the dataset size. For moderate to large dimensions, our algorithm matches the time complexity of the previously best-known locality...
We present an algorithm to compute a Euclidean minimum spanning tree of a given set S of N points in E d in time O ( F d ( N,N ) log d N ), where F d ( n,m ) is the time required to compute a bichromatic closest pair among n red and m green points in E d . If F ...
The goal is to take a known set of points (usually defining a curve or object exterior) and register it, as good as possible, to a set of other points, usually a larger and noisy set in which we would like to find the object. The basic algorithm is described very briefly in ...
14] K. Clarkson. A randomized algorithm for closest- point queries.Comput, Siam JAmer, JComput, DiscreteCom, Siam JDiscovery, KnowledgeMining, Data
we describe a randomized algorithm to compute a bichromatic closest pair in expected time &Ogr;((nm log n log m)2/3 + m log2 n + n log2 m) in 3, which yields an &Ogr;(N4/3 log4/3 N) expected time algorithm for computing a Euclidean minimum spanning tree of N points in 3....