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DCG
2000
104views more  DCG 2000»
13 years 6 months ago
Efficient Algorithms for Approximating Polygonal Chains
We consider the problem of approximating a polygonal chain C by another polygonal chain C whose vertices are constrained to be a subset of the set of vertices of C. The goal is to ...
Pankaj K. Agarwal, Kasturi R. Varadarajan
LATIN
2010
Springer
14 years 1 months ago
Minimum-Perimeter Intersecting Polygons
Given a set S of segments in the plane, a polygon P is an intersecting polygon of S if every segment in S intersects the interior or the boundary of P. The problem MPIP of computi...
Adrian Dumitrescu, Minghui Jiang
COCOON
2006
Springer
13 years 10 months ago
A PTAS for Cutting Out Polygons with Lines
We present a simple O(m+n6 / 12 ) time (1+ )-approximation algorithm for the problem of cutting a convex n-gon out of a convex m-gon with line cuts of minimum total cutting length....
Sergey Bereg, Ovidiu Daescu, Minghui Jiang
FOCS
2009
IEEE
14 years 1 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan
CCCG
2007
13 years 8 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta