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CCCG
1997
14 years 10 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia
PAAPP
1998
149views more  PAAPP 1998»
14 years 9 months ago
Optimal Mesh Algorithms for Proximity and Visibility Problems in Simple Polygons*
We present optimal parallel algorithms that run in O( pn) time on a pn pn meshconnected computer for a number of fundamental problems concerning proximity and visibility in a simp...
Sumanta Guha
CCCG
2007
14 years 11 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
COMPGEOM
1991
ACM
15 years 1 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
AFRIGRAPH
2003
ACM
15 years 1 months ago
Efficient clustering and visibility calculation for global illumination
Using a radiosity method to estimate light inter-reflections within large scenes still remains a difficult task. The two main reasons are: (i) the computations entailed by the rad...
Daniel Meneveaux, Kadi Bouatouch, Gilles Subrenat,...