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» Simple Randomized Algorithms for Closest Pair Problems
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COMPGEOM
1993
ACM
15 years 1 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
15 years 3 months 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»
14 years 9 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»
14 years 8 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
15 years 10 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...