Title
Largest area convex hull of axis-aligned squares based on imprecise data
Abstract
Data collected from real world are often imprecise. A few algorithms were proposed recently to compute the convex hull of maximum area when the axis-aligned squares model is used to represent imprecise input data. If squares are non-overlapping and of different sizes, the time complexity of the best known algorithm is O(n7). If squares are allowed to overlap but have the same size, the time complexity of the best known algorithm is O(n5). In this paper, we improve both bounds by a quadratic factor, i.e., to O(n5) and O(n3), respectively.
Year
DOI
Venue
2011
10.1007/978-3-642-22685-4_17
COCOON
Keywords
Field
DocType
convex hull,imprecise input data,maximum area,largest area convex hull,known algorithm,real world,axis-aligned squares model,quadratic factor,imprecise data,different size,time complexity
Extreme point,Discrete mathematics,Combinatorics,Quadratic equation,Convex hull,Non-linear least squares,Simple polygon,Time complexity,Output-sensitive algorithm,Mathematics
Conference
Citations 
PageRank 
References 
0
0.34
15
Authors
4
Name
Order
Citations
PageRank
Ovidiu Daescu127645.78
Wenqi Ju2193.24
Jun Luo322226.61
Binhai Zhu4903109.96