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...
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, ...
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 >...
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 ...
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...