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WADS
2009
Springer
268views Algorithms» more  WADS 2009»
16 years 21 days ago
Succinct Orthogonal Range Search Structures on a Grid with Applications to Text Indexing
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...
DCOSS
2009
Springer
16 years 20 days ago
Cheap or Flexible Sensor Coverage
We consider dual classes of geometric coverage problems, in which disks, corresponding to coverage regions of sensors, are used to cover a region or set of points in the plane. The...
Amotz Bar-Noy, Theodore Brown, Matthew P. Johnson,...
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
16 years 20 days ago
Piercing Translates and Homothets of a Convex Body
According to a classical result of Gr¨unbaum, the transversal number τ(F) of any family F of pairwise-intersecting translates or homothets of a convex body C in Rd is bounded by...
Adrian Dumitrescu, Minghui Jiang
COMPGEOM
2009
ACM
16 years 19 days ago
On grids in topological graphs
A topological graph is a graph drawn in the plane with vertices represented by points and edges as arcs connecting its vertices. A k-grid in a topological graph is a pair of edge ...
Eyal Ackerman, Jacob Fox, János Pach, Andre...
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
16 years 18 days ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...