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COMPGEOM
2007
ACM
13 years 11 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...
CCCG
2010
13 years 8 months ago
Approximate shortest path algorithms for sequences of pairwise disjoint simple polygons
Assume that two points p and q are given and a finite ordered set of simple polygons, all in the same plane; the basic version of a touring-a-sequence-of-polygons problem (TPP) is...
Xiuxia Pan, Fajie Li, Reinhard Klette
ISAAC
2009
Springer
168views Algorithms» more  ISAAC 2009»
14 years 1 months ago
On the Camera Placement Problem
We introduce a new probing problem: what is the minimum number of cameras at fixed positions necessary and sufficient to reconstruct any strictly convex polygon contained in a dis...
Rudolf Fleischer, Yihui Wang
STOC
1999
ACM
123views Algorithms» more  STOC 1999»
13 years 11 months ago
Covering Rectilinear Polygons with Axis-Parallel Rectangles
We give an O( log n) factor approximation algorithm for covering a rectilinear polygon with holes using axis-parallel rectangles. This is the first polynomial time approximation a...
V. S. Anil Kumar, H. Ramesh
CCCG
2010
13 years 8 months ago
Cluster connecting problem inside a polygon
The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
Sanjib Sadhu, Arijit Bishnu, Subhas C. Nandy, Part...