One of the most challenging problems in computational geometry is closest pair of points given n points. Brute force algorithms[1] and Divide and conquer[1] have been verified and the lowest complexity of attributed to latter class of algorithms, with worst case being for the former being . We propose a method of partitioning the set of n-points based on the least area rectangle that can circumscribe these point
Let $S$ be a set of $n$ points in $D$-dimensional space, where $D$ is a constant, and let $k$ be an ...
AbstractWe develop a number of space-efficient tools including an approach to simulate divide-and-co...
We describe a new randomized data structure, the sparse partition, for solving the dynamic closest-p...
Given a set S of n points in k-dimensional space, and an L t metric, the dynamic closest pair proble...
We present an engineered version of the divide-and-conquer algorithm for finding the clos-est pair o...
We present an approach to simulate divide-and-conquer algorithms in a space-efficient way, and illus...
28th International Symposium on Computer and Information Sciences (ISCIS) -- OCT 28-29, 2013 -- Inst...
We present an approach to simulate divide-and-conquer algorithms in a space-efficient way, and illus...
We present a general technique for dynamizing certain problems posed on point sets in Euclidean spac...
This is the preliminary version of a chapter that will appear in the Handbook on Computational Geome...
We present a conceptually simple, randomized incremental algorithm for finding the closest pair in a...
Given a set S of n points in IR D , D 2. Each point p 2 S is assigned a color c(p) chosen from a ...
We develop a number of space-efficient tools including an approach to simulate divide-and-conquer sp...
In this paper we show that if the input points to the geometric closest pair problem are given with ...
This is the preliminary version of a chapter that will appear in the Handbook on Computational Geome...
Let $S$ be a set of $n$ points in $D$-dimensional space, where $D$ is a constant, and let $k$ be an ...
AbstractWe develop a number of space-efficient tools including an approach to simulate divide-and-co...
We describe a new randomized data structure, the sparse partition, for solving the dynamic closest-p...
Given a set S of n points in k-dimensional space, and an L t metric, the dynamic closest pair proble...
We present an engineered version of the divide-and-conquer algorithm for finding the clos-est pair o...
We present an approach to simulate divide-and-conquer algorithms in a space-efficient way, and illus...
28th International Symposium on Computer and Information Sciences (ISCIS) -- OCT 28-29, 2013 -- Inst...
We present an approach to simulate divide-and-conquer algorithms in a space-efficient way, and illus...
We present a general technique for dynamizing certain problems posed on point sets in Euclidean spac...
This is the preliminary version of a chapter that will appear in the Handbook on Computational Geome...
We present a conceptually simple, randomized incremental algorithm for finding the closest pair in a...
Given a set S of n points in IR D , D 2. Each point p 2 S is assigned a color c(p) chosen from a ...
We develop a number of space-efficient tools including an approach to simulate divide-and-conquer sp...
In this paper we show that if the input points to the geometric closest pair problem are given with ...
This is the preliminary version of a chapter that will appear in the Handbook on Computational Geome...
Let $S$ be a set of $n$ points in $D$-dimensional space, where $D$ is a constant, and let $k$ be an ...
AbstractWe develop a number of space-efficient tools including an approach to simulate divide-and-co...
We describe a new randomized data structure, the sparse partition, for solving the dynamic closest-p...
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