@article {14964,
title = {Fast Algorithms for 3-D Dominance Reporting and Counting},
volume = {UMIACS-TR-2003-06},
year = {2003},
month = {2003/02/05/},
institution = {Instititue for Advanced Computer Studies, Univ of Maryland, College Park},
abstract = {We present in this paper fast algorithms for the 3-D dominance reportingand counting problems, and generalize the results to the d-dimensional
case. Our 3-D dominance reporting algorithm achieves $O(\log n/\log\log n
+f)$ query time using $O(n\log^{\epsilon}n)$ space, where $f$ is the
number of points satisfying the query and $\epsilon>0$ is an arbitrary
small constant. For the 3-D dominance counting problem (which is
equivalent to the 3-D range counting problem), our algorithm runs in
$O((\log n/\log\log n)^2)$ time using $O(nlog^{1+\epsilon}n/\log\log n)$
space.
Also UMIACS-TR-2003-06
},
keywords = {Technical Report},
url = {http://drum.lib.umd.edu/handle/1903/1253},
author = {Shi,Qingmin and JaJa, Joseph F.}
}