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» Isodiametric Problems for Polygons
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DAM
2008
92views more  DAM 2008»
13 years 7 months ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
CCCG
2010
13 years 8 months ago
Watchman route in a simple polygon with a rubberband algorithm
So far, the best result in running time for solving the fixed watchman route problem (i.e., shortest path for viewing any point in a simple polygon with given start point) is O(n3...
Fajie Li, Reinhard Klette
WSCG
2004
156views more  WSCG 2004»
13 years 8 months ago
Efficient Collision Detection between 2D Polygons
Collision detection between moving objects is an open question which raises major problems concerning its algorithmic complexity. In this paper we present a polygon collision dete...
Juan José Jiménez, Rafael Jesú...
IJCGA
2007
76views more  IJCGA 2007»
13 years 7 months ago
Immobilizing Hinged Polygons
: We study the problem of fixturing a chain of hinged objects in a given placement with frictionless point contacts. We define the notions of immobility and robust immobility, wh...
Jae-Sook Cheong, A. Frank van der Stappen, Kenneth...
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 7 months ago
Improved Approximation for Guarding Simple Galleries from the Perimeter
We provide an O(log log OPT)-approximation algorithm for the problem of guarding a simple polygon with guards on the perimeter. We first design a polynomial-time algorithm for bui...
James King, David G. Kirkpatrick