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FOCS
1994
IEEE
14 years 4 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle
ISAAC
2004
Springer
112views Algorithms» more  ISAAC 2004»
14 years 5 months ago
Dynamic Tree Cross Products
Abstract. Range searching over tree cross products – a variant of classic range searching – recently has been introduced by Buchsbaum et al. (Proc. 8th ESA, vol. 1879 of LNCS, ...
Marcus Raitner
WADS
2007
Springer
128views Algorithms» more  WADS 2007»
14 years 6 months ago
Approximate Range Searching: The Absolute Model
Range searching is a well known problem in the area of geometric data structures. We consider this problem in the context of approximation, where an approximation parameter ε >...
Guilherme Dias da Fonseca
ISAAC
2007
Springer
156views Algorithms» more  ISAAC 2007»
14 years 6 months ago
Approximate Range Searching in External Memory
In this paper, we present two linear-size external memory data structures for approximate range searching. Our first structure, the BAR-B-tree, stores a set of N points in Rd and ...
Micha Streppel, Ke Yi
SIBGRAPI
2008
IEEE
14 years 6 months ago
Tradeoffs in Approximate Range Searching Made Simpler
Range searching is a fundamental problem in computational geometry. The problem involves preprocessing a set of n points in Rd into a data structure, so that it is possible to det...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...