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» On polygons excluding point sets
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COMPGEOM
2004
ACM
14 years 23 days ago
Separating point sets in polygonal environments
We consider the separability of two point sets inside a polygon by means of chords or geodesic lines. Specifically, given a set of red points and a set of blue points in the inte...
Erik D. Demaine, Jeff Erickson, Ferran Hurtado, Jo...
COMPGEOM
2004
ACM
14 years 23 days ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
CCCG
2001
13 years 8 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
RT
2000
Springer
13 years 11 months ago
Exact Illumination in Polygonal Environments using Vertex Tracing
Abstract. Methods for exact computation of irradiance and form factors associated with polygonal objects have ultimately relied on a formula for a differential area to polygon form...
Michael M. Stark, Richard F. Riesenfeld