Title
Largest area convex hull of imprecise data based on axis-aligned squares
Abstract
In recent years, more and more algorithms related to imprecise data have been proposed. Specifically, some algorithms on computing the maximum area convex hull are designed recently when the imprecise data are modeled as non-overlapping axis-aligned squares or as equal size squares. The time complexity of the best known algorithm based on non-overlapping axis-aligned squares is O(n7). If the squares have equal size and can overlap, the time complexity of the best known algorithm is O(n5). In this paper, we improve the former from O(n7) to O(n5) and improve the latter from O(n5) to O(n2). These results are obtained by exploiting the non-trivial geometric properties of the problems.
Year
DOI
Venue
2013
10.1007/s10878-012-9488-5
J. Comb. Optim.
Keywords
Field
DocType
Imprecise data,Computational geometry,Convex hull
Mathematical optimization,Combinatorics,Computational geometry,Convex hull,Time complexity,Output-sensitive algorithm,Mathematics
Journal
Volume
Issue
ISSN
26
4
1382-6905
Citations 
PageRank 
References 
2
0.37
8
Authors
4
Name
Order
Citations
PageRank
Wenqi Ju1193.24
Jun Luo222226.61
Binhai Zhu3903109.96
Ovidiu Daescu427645.78