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» Optimal Cover of Points by Disks in a Simple Polygon
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COMPGEOM
2006
ACM
15 years 3 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...
CCCG
2006
14 years 11 months ago
Rotationally Monotone Polygons
We introduce a generalization of monotonicity. An n-vertex polygon P is rotationally monotone with respect to a point r if there exists a partitioning of the boundary of P into ex...
Prosenjit Bose, Pat Morin, Michiel H. M. Smid, Ste...
CORR
2002
Springer
93views Education» more  CORR 2002»
14 years 9 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
COMPGEOM
2004
ACM
15 years 3 months ago
Computing the visibility graph of points within a polygon
We study the problem of computing the visibility graph defined by a set P of n points inside a polygon Q: two points p, q ∈ P are joined by an edge if the segment pq ⊂ Q. Ef...
Boaz Ben-Moshe, Olaf Hall-Holt, Matthew J. Katz, J...
ICCTA
2007
IEEE
15 years 3 months ago
Covering a Set of Points in a Plane Using Two Parallel Rectangles
We consider the problem of finding two parallel rectangles, in arbitrary orientation, covering a given set of n points in a plane, such that the area of the larger rectangle is m...
Chandan Saha, Sandip Das