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» Translational polygon covering using intersection graphs
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CCCG
2001
13 years 6 months ago
Translational polygon covering using intersection graphs
We investigate the following translational 2D polygon covering problem: for a collection of covering polygons and a target point (or polygon) set, decide if the covering polygons ...
Karen Daniels, Rajasekhar Inkulu
COMPGEOM
2011
ACM
12 years 8 months ago
Integer representations of convex polygon intersection graphs
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
FOCS
2009
IEEE
13 years 11 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan
CGF
2006
125views more  CGF 2006»
13 years 5 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
COMPGEOM
1998
ACM
13 years 9 months ago
Rotational Polygon Containment and Minimum Enclosure
An algorithm and a robust floating point implementation is given for rotational polygon containment: given polygons P1,P2,P3,...,Pk and a container polygon C, find rotations and...
Victor Milenkovic