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ICRA
2005
IEEE
124views Robotics» more  ICRA 2005»
13 years 11 months ago
Sensor-based Planning for Planar Multi-Convex Rigid Bodies
— This paper presents a method for a planar rigid body consisting of multiple convex bodies to explore an unknown planar workspace, i.e., an unknown configuration space diffeomo...
Ji Yeong Lee, Howie Choset
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
CCCG
2006
13 years 7 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
CCCG
2010
13 years 7 months ago
On the variance of random polygons
A random polygon is the convex hull of uniformly distributed random points in a convex body K R2 . General upper bounds are established for the variance of the area of a random p...
William L. Steiger, Imre Bárány
ISAAC
1998
Springer
90views Algorithms» more  ISAAC 1998»
13 years 10 months ago
Generalized Self-Approaching Curves
Abstract. We consider all planar oriented curves that have the following property depending on a fixed angle . For each point B on the curve, the rest of the curve lies inside a we...
Oswin Aichholzer, Franz Aurenhammer, Christian Ick...