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» Simple Randomized Algorithms for Closest Pair Problems
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COMPGEOM
1993
ACM
13 years 11 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas
PCI
2005
Springer
14 years 26 days ago
Closest Pair Queries with Spatial Constraints
Abstract. Given two datasets DA and DB the closest-pair query (CPQ) retrieves the pair (a,b), where a ∈ DA and b ∈ DB, having the smallest distance between all pairs of objects...
Apostolos N. Papadopoulos, Alexandros Nanopoulos, ...
TALG
2008
131views more  TALG 2008»
13 years 7 months ago
Kinetic and dynamic data structures for closest pair and all nearest neighbors
We present simple, fully dynamic and kinetic data structures, which are variants of a dynamic two-dimensional range tree, for maintaining the closest pair and all nearest neighbors...
Pankaj K. Agarwal, Haim Kaplan, Micha Sharir
CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 6 months ago
Enumerative Algorithms for the Shortest and Closest Lattice Vector Problems in Any Norm via M-Ellipsoid Coverings
We give an algorithm for solving the exact Shortest Vector Problem in n-dimensional lattices, in any norm, in deterministic 2O(n) time (and space), given poly(n)-sized advice that...
Daniel Dadush, Chris Peikert, Santosh Vempala
ICPR
2002
IEEE
14 years 8 months ago
The Trimmed Iterative Closest Point Algorithm
The problem of geometric alignment of two roughly preregistered, partially overlapping, rigid, noisy 3D point sets is considered. A new natural and simple, robustified extension o...
Dmitry Chetverikov, D. Svirko, Dmitry Stepanov, Pa...