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COMPGEOM
1991
ACM
14 years 2 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 11 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»
14 years 3 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
14 years 13 days 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
14 years 13 days 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