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COMPGEOM
2007
ACM
13 years 9 months ago
Guard placement for efficient point-in-polygon proofs
We consider the problem of placing a small number of angle guards inside a simple polygon P so as to provide efficient proofs that any given point is inside P. Each angle guard vi...
David Eppstein, Michael T. Goodrich, Nodari Sitchi...
WADS
2009
Springer
274views Algorithms» more  WADS 2009»
13 years 10 months ago
New Results on Visibility in Simple Polygons
We show that (A), 14 points on the boundary of a Jordan curve, and (B), 16 points in convex position encircled by a Jordan curve, cannot be shattered by interior visibility domains...
Alexander Gilbers, Rolf Klein
ALENEX
2007
130views Algorithms» more  ALENEX 2007»
13 years 7 months ago
Locating Guards for Visibility Coverage of Polygons
We propose heuristics for visibility coverage of a polygon with the fewest point guards. This optimal coverage problem, often called the “art gallery problem”, is known to be ...
Yoav Amit, Joseph S. B. Mitchell, Eli Packer
FCT
2003
Springer
13 years 11 months ago
On Boundaries of Highly Visible Spaces and Applications
The purpose of this paper is to investigate the properties of a certain class of highly visible spaces. For a given geometric space C containing obstacles specified by disjoint s...
John H. Reif, Zheng Sun