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» Minimum-Perimeter Intersecting Polygons
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ESA
2008
Springer
96views Algorithms» more  ESA 2008»
13 years 8 months ago
Stabbing Convex Polygons with a Segment or a Polygon
Let O = {O1, . . . , Om} be a set of m convex polygons in R2 with a total of n vertices, and let B be another convex k-gon. A placement of B, any congruent copy of B (without refle...
Pankaj K. Agarwal, Danny Z. Chen, Shashidhara K. G...
SODA
2004
ACM
82views Algorithms» more  SODA 2004»
13 years 8 months ago
On finding a guard that sees most and a shop that sells most
We present a near-quadratic time algorithm that computes a point inside a simple polygon P having approximately the largest visibility polygon inside P, and a nearlinear time algo...
Otfried Cheong, Alon Efrat, Sariel Har-Peled
CCCG
2009
13 years 7 months ago
Inapproximability of the Perimeter Defense Problem
We model the problem of detecting intruders using a set of infrared beams by the perimeter defense problem: given a polygon P, find a minimum set of edges S of the polygon such th...
Evangelos Kranakis, Danny Krizanc, Lata Narayanan,...
CCCG
2006
13 years 8 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...
CG
2005
Springer
13 years 6 months ago
A new algorithm for Boolean operations on general polygons
A new algorithm for Boolean operations on general planar polygons is presented. It is available for general planar polygons (manifold or non-manifold, with or without holes). Edge...
Yu Peng, Jun-Hai Yong, Wei-Ming Dong, Hui Zhang, J...