Title
Entropy-Bounded Representation of Point Grids
Abstract
We give the first fully compressed representation of a set of m points on an n×n grid, taking H+o(H) bits of space, where H=lg(n2m) is the entropy of the set. This representation supports range counting, range reporting, and point selection queries, with complexities that go from O(1) to O(lg2n/lglgn) per answer as the entropy of the grid decreases. Operating within entropy-bounded space, as well as relating time complexity with entropy, opens a new line of research on an otherwise well-studied area.
Year
DOI
Venue
2014
10.1016/j.comgeo.2013.08.002
Computational Geometry
Keywords
DocType
Volume
Compressed data structures,Geometric grids,Range queries
Journal
47
Issue
ISSN
Citations 
1
0925-7721
5
PageRank 
References 
Authors
0.40
32
3
Name
Order
Citations
PageRank
Arash Farzan113611.07
Travis Gagie264363.61
Gonzalo Navarro36088345.16