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» Optimal Cover of Points by Disks in a Simple Polygon
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COMPGEOM
2006
ACM
15 years 5 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
15 years 1 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 11 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 5 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 6 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