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...
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Abstract. We present the first adaptive data structure for two-dimensional orthogonal range search. Our data structure is adaptive in the sense that it gives improved search perfo...
Diego Arroyuelo, Francisco Claude, Reza Dorrigiv, ...
We present cache-oblivious solutions to two important variants of range searching: range reporting and approximate range counting. Our main contribution is a general approach for ...
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...