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» Stabbing Convex Polygons with a Segment or a Polygon
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CCCG
2006
13 years 7 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»
14 years 9 days 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 12 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
14 years 8 days 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