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» Complexity and algorithms for computing Voronoi cells of lat...
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ICIP
2003
IEEE
14 years 1 months ago
K-Voronoi diagrams computing in arbitrary domains
We propose a novel algorithm to compute Voronoi diagrams of order k in arbitrary 2D and 3D domains. The algorithm is based on a fast ordered propagation distance transformation ca...
Rubén Cárdenes, Simon K. Warfield, A...
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
14 years 25 days ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
COMPGEOM
2005
ACM
13 years 10 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
COMPGEOM
2008
ACM
13 years 10 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
SCN
2010
Springer
122views Communications» more  SCN 2010»
13 years 7 months ago
Recursive Lattice Reduction
Abstract. Lattice reduction is known to be a very powerful tool in modern cryptanalysis. In the literature, there are many lattice reduction algorithms that have been proposed with...
Thomas Plantard, Willy Susilo