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COMPGEOM
1991
ACM
13 years 8 months ago
The Two Guards Problem
Given a simple polygon in the plane with two distinguished vertices, s and g, is it possible for two guards to simultaneously walk along the two boundary chains from s to g in suc...
Christian Icking, Rolf Klein
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 4 months ago
Guarding curvilinear art galleries with edge or mobile guards
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves. We consider two types of guards: edge guards (these...
Menelaos I. Karavelas
CDC
2009
IEEE
172views Control Systems» more  CDC 2009»
13 years 9 months ago
A dynamic boundary guarding problem with translating targets
Abstract— We introduce a problem in which a service vehicle seeks to defend a deadline (boundary) from dynamically arriving mobile targets. The environment is a rectangle and the...
Stephen L. Smith, Shaunak Dattaprasad Bopardikar, ...
CCCG
2010
13 years 6 months ago
Multi-guard covers for polygonal regions
We study the problem of finding optimal covers of polygonal regions using multiple mobile guards. By our definition, a point is covered if, at some time, it lies within the convex...
Zohreh Jabbari, William S. Evans, David G. Kirkpat...
CCCG
2007
13 years 6 months ago
Optimal Schedules for 2-guard Room Search
We consider the problem of searching a polygonal room with two guards starting at a specified door point. While maintaining mutual visibility and without crossing the door, the g...
Stephen Bahun, Anna Lubiw