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» A Rectilinearity Measurement for Polygons
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IPL
2002
118views more  IPL 2002»
13 years 5 months ago
Lower bounds for approximate polygon decomposition and minimum gap
We consider the problem of decomposing polygons (with holes) into various types of simpler polygons. We focus on the problem of partitioning a rectilinear polygon, with holes, int...
Joachim Gudmundsson, Thore Husfeldt, Christos Levc...
CCCG
2009
13 years 6 months ago
Inapproximability of the Perimeter Defense Problem
We model the problem of detecting intruders using a set of infrared beams by the perimeter defense problem: given a polygon P, find a minimum set of edges S of the polygon such th...
Evangelos Kranakis, Danny Krizanc, Lata Narayanan,...
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
13 years 6 months ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
IJCGA
2010
91views more  IJCGA 2010»
13 years 2 months ago
Pareto Envelopes in Simple Polygons
For a set T of n points in a metric space (X, d), a point y X is dominated by a point x X if d(x, t) d(y, t) for all t T and there exists t T such that d(x, t ) < d(y, t )....
Victor Chepoi, Karim Nouioua, Edouard Thiel, Yann ...
ESA
2009
Springer
139views Algorithms» more  ESA 2009»
13 years 12 months ago
Optimality and Competitiveness of Exploring Polygons by Mobile Robots
Abstract. A mobile robot, represented by a point moving along a polygonal line in the plane, has to explore an unknown polygon and return to the starting point. The robot has a sen...
Jurek Czyzowicz, Arnaud Labourel, Andrzej Pelc