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» Stabbing Convex Polygons with a Segment or a Polygon
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CCCG
2006
13 years 6 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
ESA
2009
Springer
139views Algorithms» more  ESA 2009»
13 years 12 months ago
Optimality and Competitiveness of Exploring Polygons by Mobile Robots
Abstract. A mobile robot, represented by a point moving along a polygonal line in the plane, has to explore an unknown polygon and return to the starting point. The robot has a sen...
Jurek Czyzowicz, Arnaud Labourel, Andrzej Pelc
ICCSA
2007
Springer
13 years 11 months ago
Weak Visibility of Two Objects in Planar Polygonal Scenes
Abstract. Determining whether two segments s and t in a planar polygonal scene weakly see each other is a classical problem in computational geometry. In this problem we seek for a...
Mostafa Nouri, Alireza Zarei, Mohammad Ghodsi
COMPGEOM
2009
ACM
13 years 11 months ago
Shooting permanent rays among disjoint polygons in the plane
We present a data structure for ray shooting-and-insertion in the free space among disjoint polygonal obstacles with a total of n vertices in the plane, where each ray starts at t...
Mashhood Ishaque, Bettina Speckmann, Csaba D. T&oa...
DCG
2010
75views more  DCG 2010»
13 years 5 months ago
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu