Title
Covering a Set of Points in a Plane Using Two Parallel Rectangles
Abstract
In this paper we consider the problem of finding two parallel rectangles in arbitrary orientation for covering a given set of n points in a plane, such that the area of the larger rectangle is minimized.We propose an algorithm that solves the problem in O(n^{3}) time using O(n^{2}) space. Without altering the complexity, our approach can be used to solve another optimization problem namely, to minimize the sum of the areas of two arbitrarily oriented parallel rectangles covering a given set of points in a plane.
Year
DOI
Venue
2007
10.1109/ICCTA.2007.45
Inf. Process. Lett.
Keywords
Field
DocType
set theory,optimization,optimization problem,computational complexity,wireless communication,very large scale integration,computational geometry
Space time,Discrete mathematics,Combinatorics,Information processing,Computational geometry,Rectangle,Optimization problem,Mathematics
Conference
Volume
Issue
ISBN
109
16
0-7695-2770-1
Citations 
PageRank 
References 
7
0.52
3
Authors
2
Name
Order
Citations
PageRank
Chandan Saha122716.91
Sandip Das225648.78